diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_FEM_slu.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_FEM_slu.out index 8cae2ef..fae8230 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_FEM_slu.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_FEM_slu.out @@ -115,7 +115,7 @@ Final Solver Statistics: Total RHS evals: Fe = 0, Fi = 1111 Total mass matrix setups = 1 Total mass matrix solves = 193 - Total mass times evals = 1688 + Total mass times evals = 1687 Total linear solver setups = 31 Total number of Jacobian evaluations = 11 Total number of Newton iterations = 1118 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_2_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_2_0.001.out index d8f1801..2f5cb90 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_2_0.001.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_2_0.001.out @@ -30,7 +30,7 @@ Final Solver Statistics: Slow Steps: nsts = 10001 Fast Steps: nstf = 120012 - Total RHS evals: Fs = 68887, Ff = 360046 + Total RHS evals: Fs = 68877, Ff = 360046 Slow Newton iters = 38883 Slow Newton conv fails = 0 Slow Jacobian evals = 501 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_3_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_3_0.001.out index 0e3c139..30dba6d 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_3_0.001.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_brusselator1D_imexmri_3_0.001.out @@ -30,7 +30,7 @@ Final Solver Statistics: Slow Steps: nsts = 10001 Fast Steps: nstf = 120012 - Total RHS evals: Fs = 68887, Ff = 840121 + Total RHS evals: Fs = 68877, Ff = 840121 Slow Newton iters = 38883 Slow Newton conv fails = 0 Slow Jacobian evals = 501 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-arkstep.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-arkstep.out index ae206aa..2b03b3c 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-arkstep.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-arkstep.out @@ -51,26 +51,26 @@ t ||u||_rms ---------------------------------------------- 0.000000000000000e+00 3.172144385112383e+00 - 5.000000000000000e-01 3.136741760652088e+00 - 1.000000000000000e+00 3.125063175301122e+00 - 1.500000000000000e+00 3.152612863029649e+00 - 2.000000000000000e+00 3.252046438757223e+00 - 2.500000000000000e+00 3.404770336275880e+00 - 3.000000000000000e+00 3.570197843463192e+00 - 3.500000000000000e+00 3.699979298705992e+00 - 4.000000000000000e+00 3.694673743577147e+00 - 4.500000000000000e+00 3.628192807357139e+00 - 5.000000000000000e+00 3.475181871691853e+00 - 5.500000000000000e+00 3.343883541753708e+00 - 6.000000000000000e+00 3.234020189727759e+00 - 6.500000000000000e+00 3.082396969215168e+00 - 7.000000000000000e+00 2.890645348225157e+00 - 7.500000000000000e+00 2.837264086636537e+00 - 8.000000000000000e+00 2.898204389104409e+00 - 8.500000000000000e+00 3.140043837970826e+00 - 9.000000000000000e+00 3.442234882231944e+00 - 9.500000000000000e+00 3.740410418605710e+00 - 1.000000000000000e+01 4.014486526389547e+00 + 5.000000000000000e-01 3.136741760652099e+00 + 1.000000000000000e+00 3.125063175301384e+00 + 1.500000000000000e+00 3.152612863412849e+00 + 2.000000000000000e+00 3.252046440476493e+00 + 2.500000000000000e+00 3.404770348632562e+00 + 3.000000000000000e+00 3.570197872739926e+00 + 3.500000000000000e+00 3.699979354348030e+00 + 4.000000000000000e+00 3.694673808835031e+00 + 4.500000000000000e+00 3.628192806293943e+00 + 5.000000000000000e+00 3.475181810897179e+00 + 5.500000000000000e+00 3.343883397076133e+00 + 6.000000000000000e+00 3.234019997282326e+00 + 6.500000000000000e+00 3.082396794749013e+00 + 7.000000000000000e+00 2.890645249288640e+00 + 7.500000000000000e+00 2.837264083079534e+00 + 8.000000000000000e+00 2.898204488519986e+00 + 8.500000000000000e+00 3.140043990739560e+00 + 9.000000000000000e+00 3.442235032838624e+00 + 9.500000000000000e+00 3.740410563929244e+00 + 1.000000000000000e+01 4.014486664210758e+00 ---------------------------------------------- Final integrator statistics: @@ -80,20 +80,20 @@ Slow Integrator: RHS diffusion = 792 NLS iters = 396 NLS fails = 0 - LS iters = 2633 - LS fails = 1 + LS iters = 2648 + LS fails = 0 LS setups = 0 - LS RHS evals = 2633 - Jv products = 2633 + LS RHS evals = 2648 + Jv products = 2648 Avg NLS iters per step attempt = 3.000000 - Avg LS iters per NLS iter = 6.648990 + Avg LS iters per NLS iter = 6.686869 Preconditioner setups = 0 - Preconditioner solves = 2633 + Preconditioner solves = 2648 Fast Integrator: Steps = 470 Step attempts = 470 Error test fails = 0 - RHS reaction = 1827 + RHS reaction = 1959 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-global.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-global.out index 9b913a3..ac9201e 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-global.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-global.out @@ -51,26 +51,26 @@ t ||u||_rms ---------------------------------------------- 0.000000000000000e+00 3.172144385112383e+00 - 5.000000000000000e-01 3.136722629465066e+00 - 1.000000000000000e+00 3.125057552024107e+00 - 1.500000000000000e+00 3.152636979017849e+00 - 2.000000000000000e+00 3.252085784090209e+00 - 2.500000000000000e+00 3.404791619294692e+00 - 3.000000000000000e+00 3.570175845435155e+00 - 3.500000000000000e+00 3.699871659893790e+00 - 4.000000000000000e+00 3.694354186527817e+00 - 4.500000000000000e+00 3.627867393042675e+00 - 5.000000000000000e+00 3.474857085470333e+00 - 5.500000000000000e+00 3.343640002216235e+00 - 6.000000000000000e+00 3.233844046127573e+00 - 6.500000000000000e+00 3.082251062694890e+00 - 7.000000000000000e+00 2.890585369424727e+00 - 7.500000000000000e+00 2.837315452756403e+00 - 8.000000000000000e+00 2.898424893360023e+00 - 8.500000000000000e+00 3.140291028418674e+00 - 9.000000000000000e+00 3.442457327179101e+00 - 9.500000000000000e+00 3.740600281376645e+00 - 1.000000000000000e+01 4.014633156501281e+00 + 5.000000000000000e-01 3.136722629482694e+00 + 1.000000000000000e+00 3.125057552043193e+00 + 1.500000000000000e+00 3.152636979427879e+00 + 2.000000000000000e+00 3.252085798917689e+00 + 2.500000000000000e+00 3.404791659743048e+00 + 3.000000000000000e+00 3.570175896142432e+00 + 3.500000000000000e+00 3.699871775695501e+00 + 4.000000000000000e+00 3.694354328938385e+00 + 4.500000000000000e+00 3.627867445226587e+00 + 5.000000000000000e+00 3.474857036434463e+00 + 5.500000000000000e+00 3.343639835515735e+00 + 6.000000000000000e+00 3.233843797982778e+00 + 6.500000000000000e+00 3.082250805521703e+00 + 7.000000000000000e+00 2.890585190235564e+00 + 7.500000000000000e+00 2.837315402792927e+00 + 8.000000000000000e+00 2.898424997635716e+00 + 8.500000000000000e+00 3.140291193581129e+00 + 9.000000000000000e+00 3.442457501250356e+00 + 9.500000000000000e+00 3.740600449220181e+00 + 1.000000000000000e+01 4.014633315935895e+00 ---------------------------------------------- Final integrator statistics: @@ -80,17 +80,17 @@ Slow Integrator: RHS diffusion = 792 NLS iters = 396 NLS fails = 0 - LS iters = 2641 + LS iters = 2645 LS fails = 0 LS setups = 0 - LS RHS evals = 2641 - Jv products = 2641 + LS RHS evals = 2645 + Jv products = 2645 Avg NLS iters per step attempt = 3.000000 - Avg LS iters per NLS iter = 6.669192 + Avg LS iters per NLS iter = 6.679293 Preconditioner setups = 0 - Preconditioner solves = 2641 + Preconditioner solves = 2645 Fast Integrator: Steps = 2057 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-local.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-local.out index 0dd0389..36f3371 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-local.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diffusion_reaction_p_--np_2_2_--mri-cvode-local.out @@ -51,26 +51,26 @@ t ||u||_rms ---------------------------------------------- 0.000000000000000e+00 3.172144385112383e+00 - 5.000000000000000e-01 3.136728141568442e+00 - 1.000000000000000e+00 3.125054078969537e+00 - 1.500000000000000e+00 3.152605475501787e+00 - 2.000000000000000e+00 3.252022913428429e+00 - 2.500000000000000e+00 3.404698680378851e+00 - 3.000000000000000e+00 3.570053730764652e+00 - 3.500000000000000e+00 3.699720763396807e+00 - 4.000000000000000e+00 3.694157931241854e+00 - 4.500000000000000e+00 3.627712125668464e+00 - 5.000000000000000e+00 3.474734466021550e+00 - 5.500000000000000e+00 3.343606933034505e+00 - 6.000000000000000e+00 3.233915506336244e+00 - 6.500000000000000e+00 3.082406527906665e+00 - 7.000000000000000e+00 2.890736516064349e+00 - 7.500000000000000e+00 2.837432528460562e+00 - 8.000000000000000e+00 2.898441248595020e+00 - 8.500000000000000e+00 3.140256919387674e+00 - 9.000000000000000e+00 3.442407086782958e+00 - 9.500000000000000e+00 3.740539247767240e+00 - 1.000000000000000e+01 4.014559182371761e+00 + 5.000000000000000e-01 3.136728141568426e+00 + 1.000000000000000e+00 3.125054078969577e+00 + 1.500000000000000e+00 3.152605475502359e+00 + 2.000000000000000e+00 3.252022912635215e+00 + 2.500000000000000e+00 3.404698691374345e+00 + 3.000000000000000e+00 3.570053772321209e+00 + 3.500000000000000e+00 3.699720878679964e+00 + 4.000000000000000e+00 3.694158055925352e+00 + 4.500000000000000e+00 3.627712121494570e+00 + 5.000000000000000e+00 3.474734332229006e+00 + 5.500000000000000e+00 3.343606665593759e+00 + 6.000000000000000e+00 3.233915182257314e+00 + 6.500000000000000e+00 3.082406235095853e+00 + 7.000000000000000e+00 2.890736346480939e+00 + 7.500000000000000e+00 2.837432523592805e+00 + 8.000000000000000e+00 2.898441382813875e+00 + 8.500000000000000e+00 3.140257099040540e+00 + 9.000000000000000e+00 3.442407273754965e+00 + 9.500000000000000e+00 3.740539414769367e+00 + 1.000000000000000e+01 4.014559307692970e+00 ---------------------------------------------- Final integrator statistics: @@ -80,17 +80,17 @@ Slow Integrator: RHS diffusion = 792 NLS iters = 396 NLS fails = 0 - LS iters = 2630 + LS iters = 2625 LS fails = 0 LS setups = 0 - LS RHS evals = 2630 - Jv products = 2630 + LS RHS evals = 2625 + Jv products = 2625 Avg NLS iters per step attempt = 3.000000 - Avg LS iters per NLS iter = 6.641414 + Avg LS iters per NLS iter = 6.628788 Preconditioner setups = 0 - Preconditioner solves = 2630 + Preconditioner solves = 2625 Fast Integrator: Steps = 2002 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_bbd_p.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_bbd_p.out index fdbb302..33fd09b 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_bbd_p.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_bbd_p.out @@ -58,7 +58,7 @@ At top right: c1, c2 = -7.979e-21 4.163e+11 Final Statistics: -lenrw = 3902 leniw = 267 +lenrw = 3902 leniw = 279 lenrwls = 2455 leniwls = 126 nst = 7253 nfe = 0 nfe = 76956 nfels = 102729 @@ -127,7 +127,7 @@ At top right: c1, c2 = 3.984e-11 4.163e+11 Final Statistics: -lenrw = 3902 leniw = 272 +lenrw = 3902 leniw = 284 lenrwls = 2455 leniwls = 126 nst = 7215 nfe = 0 nfe = 76537 nfels = 108364 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_p.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_p.out index 5c2ddaf..2fc4afc 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_p.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_p.out @@ -52,7 +52,7 @@ At top right: c1, c2 = -9.344e-24 4.163e+11 Final Statistics: -lenrw = 3302 leniw = 243 +lenrw = 3302 leniw = 255 lenrwls = 2455 leniwls = 126 nst = 7243 nfe = 0 nfi = 76825 nfels = 105271 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_ph.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_ph.out index ecf387d..8466692 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_ph.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_diurnal_kry_ph.out @@ -52,7 +52,7 @@ At top right: c1, c2 = 1.396e-24 4.163e+11 Final Statistics: -lenrw = 3302 leniw = 243 +lenrw = 3302 leniw = 255 lenrwls = 2455 leniwls = 126 nst = 7146 nfe = 0 nfi = 74941 nfels = 87574 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat1D_omp.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat1D_omp.out index 34bf910..8adee7c 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat1D_omp.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat1D_omp.out @@ -21,8 +21,8 @@ Final Solver Statistics: Internal solver steps = 191 (attempted = 191) Total RHS evals: Fe = 0, Fi = 1913 Total linear solver setups = 0 - Total linear iterations = 18115 - Total number of Jacobian-vector products = 18115 + Total linear iterations = 18152 + Total number of Jacobian-vector products = 18152 Total number of linear solver convergence failures = 0 Total number of Newton iterations = 955 Total number of nonlinear solver convergence failures = 0 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat2D_hypre_pfmg_mri_--np_2_2.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat2D_hypre_pfmg_mri_--np_2_2.out index 7fd5e14..e2bd66a 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat2D_hypre_pfmg_mri_--np_2_2.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_heat2D_hypre_pfmg_mri_--np_2_2.out @@ -42,16 +42,16 @@ t ||u||_rms ---------------------------------------------- 0.000000000000000e+00 3.691406249999997e-01 - 1.000000000000000e-01 5.162014241950812e-02 - 2.000000000000000e-01 7.426100187269426e-03 - 3.000000000000000e-01 1.067221316470438e-03 - 4.000000000000000e-01 1.533638016727503e-04 - 5.000000000000000e-01 2.203889954711410e-05 - 6.000000000000000e-01 3.167064268528133e-06 - 7.000000000000000e-01 4.551178805388105e-07 - 7.999999999999999e-01 6.540199603799715e-08 - 8.999999999999999e-01 9.398525782946043e-09 - 1.000000000000000e+00 1.350608880524119e-09 + 1.000000000000000e-01 5.162014241948196e-02 + 2.000000000000000e-01 7.426100187267500e-03 + 3.000000000000000e-01 1.067221316470384e-03 + 4.000000000000000e-01 1.533638016726830e-04 + 5.000000000000000e-01 2.203889954711373e-05 + 6.000000000000000e-01 3.167064268527177e-06 + 7.000000000000000e-01 4.551178805387262e-07 + 7.999999999999999e-01 6.540199603798561e-08 + 8.999999999999999e-01 9.398525782944426e-09 + 1.000000000000000e+00 1.350608880523887e-09 ---------------------------------------------- Final slow integrator statistics: diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_3_0_-10_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_3_0_-10_0.out index e3c3181..05da441 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_3_0_-10_0.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_3_0_-10_0.out @@ -120,7 +120,7 @@ Final Solver Statistics: Total RHS evals: Fe = 671, Fi = 1763 Total mass matrix setups = 504 Total mass matrix solves = 1340 - Total mass times evals = 1259 + Total mass times evals = 1258 Total number of Jacobian evaluations = 7 Total linear solver setups = 18 Total number of Nonlinear iterations = 1092 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_0_10_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_0_10_1.out index 25d972a..c87c2ee 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_0_10_1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_0_10_1.out @@ -120,7 +120,7 @@ Final Solver Statistics: Total RHS evals: Fe = 493, Fi = 1082 Total mass matrix setups = 413 Total mass matrix solves = 574 - Total mass times evals = 1079 + Total mass times evals = 1078 Total number of Jacobian evaluations = 12 Total linear solver setups = 21 Total number of Nonlinear iterations = 999 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_1_10_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_1_10_1.out index e28c955..19b9ac2 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_1_10_1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_0_-10_1_10_1.out @@ -120,7 +120,7 @@ Final Solver Statistics: Total RHS evals: Fe = 501, Fi = 1738 Total mass matrix setups = 418 Total mass matrix solves = 585 - Total mass times evals = 1735 + Total mass times evals = 1734 Total number of Jacobian evaluations = 145 Total linear solver setups = 150 Total number of Nonlinear iterations = 1652 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_1.out index a662ca0..8a5be5e 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_4_1.out @@ -120,7 +120,7 @@ Final Solver Statistics: Total RHS evals: Fe = 13787, Fi = 50499 Total mass matrix setups = 12646 Total mass matrix solves = 64284 - Total mass times evals = 2271 + Total mass times evals = 2270 Total number of Jacobian evaluations = 0 Total linear solver setups = 0 Total number of Nonlinear iterations = 36712 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_5.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_5.out index 7f94177..f9f3c99 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_5.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_0_5.out @@ -120,7 +120,7 @@ Final Solver Statistics: Total RHS evals: Fe = 1265, Fi = 4680 Total mass matrix setups = 1121 Total mass matrix solves = 2428 - Total mass times evals = 3559 + Total mass times evals = 3558 Total number of Jacobian evaluations = 204 Total linear solver setups = 214 Total number of Nonlinear iterations = 3415 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_1_4.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_1_4.out index c652708..0a640a7 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_1_4.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_1_4.out @@ -120,7 +120,7 @@ Final Solver Statistics: Total RHS evals: Fe = 0, Fi = 5758 Total mass matrix setups = 1438 Total mass matrix solves = 1438 - Total mass times evals = 4604 + Total mass times evals = 4603 Total number of Jacobian evaluations = 152 Total linear solver setups = 166 Total number of Nonlinear iterations = 4320 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_4_0_-10_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_4_0_-10_0.out index 54a5662..2549bfb 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_4_0_-10_0.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_4_0_-10_0.out @@ -119,5 +119,5 @@ Final Solver Statistics: Total RHS evals: Fe = 840, Fi = 0 Total mass matrix setups = 672 Total mass matrix solves = 840 - Total mass times evals = 165 + Total mass times evals = 164 Errors: u = 3.7533e-06, v = 2.61601e-07, total = 2.66042e-06 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_8_0_-10.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_8_0_-10.out index 09b1fd9..5b3c03a 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_8_0_-10.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_Mt_2_8_0_-10.out @@ -119,5 +119,5 @@ Final Solver Statistics: Total RHS evals: Fe = 1742, Fi = 0 Total mass matrix setups = 1439 Total mass matrix solves = 1742 - Total mass times evals = 103 + Total mass times evals = 102 Errors: u = 1.83418e-08, v = 2.86413e-09, total = 1.31268e-08 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_0_1_0.005.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_0_1_0.005.out new file mode 100644 index 0000000..59f2363 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_0_1_0.005.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.005 + hf = 5e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: none + fast solver: esdirk-3-3 + reltol = 1.25e-07, abstol = 1.00e-11 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 8.84e-12 1.80e-11 + 0.200000 1.220669 1.551800 1.13e-11 3.45e-12 + 0.300000 1.215594 1.467737 1.14e-13 4.64e-12 + 0.400000 1.208524 1.154583 1.29e-11 1.51e-11 + 0.500000 1.199496 1.721908 7.15e-12 4.79e-13 + 0.600000 1.188557 1.023517 5.65e-12 2.17e-11 + 0.700000 1.175764 1.622751 1.10e-11 2.45e-12 + 0.800000 1.161186 1.374632 6.07e-12 7.03e-12 + 0.900000 1.144904 1.245763 1.43e-11 1.18e-11 + 1.000000 1.127010 1.691839 5.99e-12 1.10e-12 + 1.100000 1.107609 1.000489 8.26e-14 2.51e-11 + 1.200000 1.086821 1.677552 1.01e-11 1.56e-12 + 1.300000 1.064777 1.277775 6.85e-12 1.07e-11 + 1.400000 1.041625 1.342455 1.22e-11 9.47e-12 + 1.500000 1.017531 1.642940 4.86e-12 1.75e-12 + 1.600000 0.992673 1.012112 5.21e-12 2.45e-11 + 1.700000 0.967253 1.714058 9.45e-12 6.80e-13 + 1.800000 0.941488 1.183867 9.00e-12 1.43e-11 + 1.900000 0.915617 1.437465 1.30e-11 6.71e-12 + 2.000000 0.889903 1.577082 1.52e-12 2.79e-12 + 2.100000 0.864625 1.056467 1.07e-11 1.96e-11 + 2.200000 0.840089 1.730920 8.56e-12 9.89e-13 + 2.300000 0.816616 1.101047 9.44e-12 1.65e-11 + 2.400000 0.794546 1.525051 1.24e-11 4.52e-12 + 2.500000 0.774227 1.496993 3.27e-13 4.39e-12 + 2.600000 0.756013 1.126857 1.11e-11 1.63e-11 + 2.700000 0.740246 1.727536 8.00e-12 1.15e-12 + 2.800000 0.727247 1.038393 6.76e-12 2.05e-11 + 2.900000 0.717301 1.600759 1.13e-11 3.28e-12 + 3.000000 0.710636 1.406380 1.68e-12 6.39e-12 + 3.100000 0.707412 1.214353 1.39e-11 1.29e-11 + 3.200000 0.707709 1.704026 6.69e-12 1.42e-12 + 3.300000 0.711520 1.004391 1.56e-12 2.31e-11 + 3.400000 0.718750 1.661225 1.09e-11 2.37e-12 + 3.500000 0.729227 1.310102 7.68e-12 8.83e-12 + 3.600000 0.742712 1.310080 1.45e-11 9.88e-12 + 3.700000 0.758914 1.661237 5.26e-12 1.98e-12 + 3.800000 0.777506 1.004387 3.51e-12 2.36e-11 + 3.900000 0.798144 1.704019 9.76e-12 1.66e-12 + 4.000000 0.820474 1.214374 8.14e-12 1.21e-11 + 4.100000 0.844149 1.406358 1.22e-11 7.34e-12 + 4.200000 0.868832 1.600774 3.79e-12 2.84e-12 + 4.300000 0.894204 1.038382 8.33e-12 2.17e-11 + 4.400000 0.919964 1.727533 8.92e-12 1.28e-12 + 4.500000 0.945834 1.126875 9.76e-12 1.59e-11 + 4.600000 0.971557 1.496974 1.24e-11 5.33e-12 + 4.700000 0.996898 1.525070 5.08e-13 4.03e-12 + 4.800000 1.021641 1.101030 1.25e-11 1.84e-11 + 4.900000 1.045589 1.730922 7.82e-12 1.08e-12 + 5.000000 1.068565 1.056480 7.88e-12 1.99e-11 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 1001, nstf = 101101 + u error = 8.949e-12, v error = 1.228e-11, total error = 1.075e-11 + Total RHS evals: Fs = 2003, Ff = 0 + Fast Newton iters = 262659 + Fast Newton conv fails = 0 + Fast Jacobian evals = 1669 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_10_4_0.001_-100_100_0.5_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_10_4_0.001_-100_100_0.5_1.out new file mode 100644 index 0000000..4a6b542 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_10_4_0.001_-100_100_0.5_1.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_IMEX_MRI_GARK4 + reltol = 1.00e-12, abstol = 1.00e-14 + fast solver: erk-4-4 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 1.64e-11 6.38e-13 + 0.200000 1.220669 1.551800 1.61e-11 6.85e-13 + 0.300000 1.215594 1.467737 1.58e-11 9.70e-13 + 0.400000 1.208524 1.154583 1.55e-11 9.37e-13 + 0.500000 1.199496 1.721908 1.57e-11 1.74e-12 + 0.600000 1.188557 1.023517 1.50e-11 3.45e-12 + 0.700000 1.175764 1.622751 1.40e-11 2.20e-12 + 0.800000 1.161186 1.374632 1.20e-11 2.83e-12 + 0.900000 1.144904 1.245763 1.23e-11 3.18e-12 + 1.000000 1.127010 1.691839 1.28e-11 2.23e-12 + 1.100000 1.107609 1.000489 1.13e-11 2.05e-12 + 1.200000 1.086821 1.677552 9.92e-12 2.03e-12 + 1.300000 1.064777 1.277775 7.66e-12 2.00e-12 + 1.400000 1.041625 1.342455 6.65e-12 2.48e-12 + 1.500000 1.017531 1.642940 6.43e-12 5.92e-12 + 1.600000 0.992673 1.012112 4.49e-12 3.23e-12 + 1.700000 0.967253 1.714058 3.11e-12 2.87e-12 + 1.800000 0.941488 1.183867 5.74e-14 3.89e-12 + 1.900000 0.915617 1.437465 1.88e-12 5.63e-12 + 2.000000 0.889903 1.577082 4.65e-12 9.04e-12 + 2.100000 0.864625 1.056467 6.53e-12 7.20e-12 + 2.200000 0.840089 1.730920 7.39e-12 4.70e-12 + 2.300000 0.816616 1.101047 1.16e-11 3.16e-12 + 2.400000 0.794546 1.525051 1.48e-11 8.77e-12 + 2.500000 0.774227 1.496993 1.92e-11 1.10e-11 + 2.600000 0.756013 1.126857 2.04e-11 1.34e-11 + 2.700000 0.740246 1.727536 2.11e-11 7.02e-12 + 2.800000 0.727247 1.038393 2.44e-11 6.35e-13 + 2.900000 0.717301 1.600759 2.66e-11 1.09e-11 + 3.000000 0.710636 1.406380 2.78e-11 1.16e-11 + 3.100000 0.707412 1.214353 2.84e-11 2.03e-11 + 3.200000 0.707709 1.704026 2.84e-11 9.86e-12 + 3.300000 0.711520 1.004391 2.77e-11 7.02e-12 + 3.400000 0.718750 1.661225 2.61e-11 1.05e-11 + 3.500000 0.729227 1.310102 2.42e-11 1.14e-11 + 3.600000 0.742712 1.310080 2.16e-11 2.60e-11 + 3.700000 0.758914 1.661237 1.99e-11 1.39e-11 + 3.800000 0.777506 1.004387 1.67e-11 1.43e-11 + 3.900000 0.798144 1.704019 1.39e-11 5.96e-12 + 4.000000 0.820474 1.214374 1.05e-11 1.12e-11 + 4.100000 0.844149 1.406358 7.58e-12 2.96e-11 + 4.200000 0.868832 1.600774 5.04e-12 4.97e-12 + 4.300000 0.894204 1.038382 2.82e-12 1.00e-11 + 4.400000 0.919964 1.727533 1.81e-12 1.06e-11 + 4.500000 0.945834 1.126875 1.89e-12 5.36e-12 + 4.600000 0.971557 1.496974 3.73e-12 1.53e-11 + 4.700000 0.996898 1.525070 5.90e-12 8.98e-13 + 4.800000 1.021641 1.101030 7.16e-12 2.06e-12 + 4.900000 1.045589 1.730922 6.80e-12 8.94e-12 + 5.000000 1.068565 1.056480 9.34e-12 3.23e-12 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 510000 + u error = 1.533e-11, v error = 9.500e-12, total error = 1.275e-11 + Total RHS evals: Fse = 30001, Fsi = 57555, Ff = 2040050 + Slow Newton iters = 52554 + Slow Newton conv fails = 0 + Slow Jacobian evals = 250 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_11_2_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_11_2_0.001.out new file mode 100644 index 0000000..6ace2a0 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_11_2_0.001.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_IMEX_MRI_SR21 + reltol = 1.00e-06, abstol = 1.00e-11 + fast solver: ARKODE_HEUN_EULER_2_1_2 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223724 1.077464 3.41e-07 4.18e-08 + 0.200000 1.220669 1.551800 4.37e-07 9.15e-09 + 0.300000 1.215593 1.467737 1.19e-06 1.93e-08 + 0.400000 1.208524 1.154583 5.25e-07 3.04e-09 + 0.500000 1.199497 1.721908 2.75e-07 4.77e-08 + 0.600000 1.188557 1.023517 8.00e-08 1.04e-08 + 0.700000 1.175764 1.622750 3.49e-07 5.45e-08 + 0.800000 1.161186 1.374632 2.49e-07 5.22e-08 + 0.900000 1.144903 1.245763 5.52e-07 4.13e-08 + 1.000000 1.127010 1.691839 2.30e-07 7.24e-08 + 1.100000 1.107609 1.000489 4.75e-08 1.07e-08 + 1.200000 1.086820 1.677552 2.41e-07 8.61e-08 + 1.300000 1.064776 1.277775 2.56e-07 6.28e-08 + 1.400000 1.041625 1.342455 5.27e-07 6.87e-08 + 1.500000 1.017531 1.642940 6.76e-08 8.58e-08 + 1.600000 0.992673 1.012112 1.98e-07 3.21e-08 + 1.700000 0.967253 1.714058 6.85e-08 1.01e-07 + 1.800000 0.941487 1.183866 9.72e-07 6.42e-08 + 1.900000 0.915617 1.437465 5.69e-07 8.59e-08 + 2.000000 0.889902 1.577082 5.85e-07 9.51e-08 + 2.100000 0.864625 1.056467 3.94e-07 4.96e-08 + 2.200000 0.840089 1.730920 1.99e-07 1.03e-07 + 2.300000 0.816616 1.101047 5.02e-07 5.52e-08 + 2.400000 0.794545 1.525051 5.04e-07 9.24e-08 + 2.500000 0.774227 1.496993 1.29e-07 9.43e-08 + 2.600000 0.756012 1.126857 5.61e-07 6.08e-08 + 2.700000 0.740246 1.727536 1.76e-07 1.06e-07 + 2.800000 0.727247 1.038393 2.22e-07 4.56e-08 + 2.900000 0.717301 1.600759 4.60e-07 1.01e-07 + 3.000000 0.710636 1.406379 1.73e-07 8.99e-08 + 3.100000 0.707412 1.214353 5.27e-07 7.13e-08 + 3.200000 0.707710 1.704026 1.97e-07 1.04e-07 + 3.300000 0.711519 1.004391 1.04e-07 4.02e-08 + 3.400000 0.718749 1.661225 2.20e-07 1.04e-07 + 3.500000 0.729226 1.310102 2.64e-07 8.23e-08 + 3.600000 0.742711 1.310080 3.67e-07 8.33e-08 + 3.700000 0.758914 1.661237 1.20e-08 1.02e-07 + 3.800000 0.777506 1.004387 1.78e-07 4.32e-08 + 3.900000 0.798144 1.704018 1.64e-08 1.06e-07 + 4.000000 0.820473 1.214374 1.14e-06 7.40e-08 + 4.100000 0.844149 1.406358 4.80e-07 9.06e-08 + 4.200000 0.868832 1.600774 4.07e-07 1.01e-07 + 4.300000 0.894203 1.038382 3.42e-07 5.61e-08 + 4.400000 0.919964 1.727533 1.65e-07 1.12e-07 + 4.500000 0.945833 1.126875 6.61e-07 6.93e-08 + 4.600000 0.971557 1.496973 5.02e-07 9.91e-08 + 4.700000 0.996897 1.525070 9.23e-07 1.04e-07 + 4.800000 1.021640 1.101030 4.76e-07 6.78e-08 + 4.900000 1.045589 1.730922 3.12e-07 1.11e-07 + 5.000000 1.068565 1.056480 2.37e-07 5.32e-08 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 935000 + u error = 4.564e-07, v error = 7.637e-08, total error = 3.272e-07 + Total RHS evals: Fse = 15001, Fsi = 32981, Ff = 1870050 + Slow Newton iters = 17980 + Slow Newton conv fails = 0 + Slow Jacobian evals = 250 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_12_3_0.005.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_12_3_0.005.out new file mode 100644 index 0000000..9004de6 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_12_3_0.005.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.005 + hf = 5e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_IMEX_MRI_SR32 + reltol = 1.25e-07, abstol = 1.00e-11 + fast solver: erk-3-3 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 2.84e-08 3.07e-09 + 0.200000 1.220669 1.551800 2.84e-08 5.68e-09 + 0.300000 1.215594 1.467737 2.92e-08 8.00e-09 + 0.400000 1.208524 1.154583 2.94e-08 1.01e-08 + 0.500000 1.199496 1.721908 2.86e-08 1.18e-08 + 0.600000 1.188557 1.023517 2.66e-08 1.34e-08 + 0.700000 1.175764 1.622750 2.55e-08 1.47e-08 + 0.800000 1.161186 1.374632 2.74e-08 1.57e-08 + 0.900000 1.144904 1.245763 2.77e-08 1.65e-08 + 1.000000 1.127010 1.691839 2.65e-08 1.71e-08 + 1.100000 1.107609 1.000489 2.19e-08 1.75e-08 + 1.200000 1.086821 1.677552 1.79e-08 1.76e-08 + 1.300000 1.064777 1.277775 1.99e-08 1.76e-08 + 1.400000 1.041625 1.342455 2.04e-08 1.73e-08 + 1.500000 1.017531 1.642940 1.99e-08 1.67e-08 + 1.600000 0.992673 1.012112 1.36e-08 1.60e-08 + 1.700000 0.967253 1.714058 6.17e-09 1.50e-08 + 1.800000 0.941488 1.183867 5.03e-09 1.38e-08 + 1.900000 0.915617 1.437465 4.85e-09 1.24e-08 + 2.000000 0.889903 1.577082 5.33e-09 1.06e-08 + 2.100000 0.864625 1.056467 1.38e-09 8.64e-09 + 2.200000 0.840089 1.730920 1.11e-08 6.36e-09 + 2.300000 0.816616 1.101047 1.77e-08 3.89e-09 + 2.400000 0.794546 1.525051 2.04e-08 1.22e-09 + 2.500000 0.774227 1.496993 1.96e-08 1.74e-09 + 2.600000 0.756013 1.126857 2.53e-08 4.94e-09 + 2.700000 0.740246 1.727536 3.36e-08 8.35e-09 + 2.800000 0.727247 1.038393 4.17e-08 1.18e-08 + 2.900000 0.717301 1.600759 4.50e-08 1.53e-08 + 3.000000 0.710636 1.406380 4.43e-08 1.88e-08 + 3.100000 0.707412 1.214353 4.62e-08 2.20e-08 + 3.200000 0.707709 1.704026 4.79e-08 2.50e-08 + 3.300000 0.711520 1.004391 4.75e-08 2.76e-08 + 3.400000 0.718749 1.661225 4.48e-08 2.98e-08 + 3.500000 0.729227 1.310102 1.02e-07 3.08e-08 + 3.600000 0.742712 1.310080 4.22e-08 3.17e-08 + 3.700000 0.758914 1.661237 4.00e-08 3.23e-08 + 3.800000 0.777506 1.004387 3.22e-08 3.23e-08 + 3.900000 0.798144 1.704019 2.37e-08 3.17e-08 + 4.000000 0.820474 1.214374 2.24e-08 3.08e-08 + 4.100000 0.844149 1.406358 2.13e-08 2.95e-08 + 4.200000 0.868832 1.600774 2.06e-08 2.78e-08 + 4.300000 0.894204 1.038382 1.34e-08 2.58e-08 + 4.400000 0.919964 1.727533 4.37e-09 2.35e-08 + 4.500000 0.945834 1.126875 4.59e-10 2.11e-08 + 4.600000 0.971557 1.496974 1.59e-10 1.87e-08 + 4.700000 0.996898 1.525070 1.78e-09 1.61e-08 + 4.800000 1.021641 1.101030 2.16e-09 1.34e-08 + 4.900000 1.045589 1.730922 8.50e-09 1.07e-08 + 5.000000 1.068565 1.056480 1.41e-08 8.06e-09 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 1001, nstf = 362362 + u error = 2.987e-08, v error = 1.896e-08, total error = 2.502e-08 + Total RHS evals: Fse = 4005, Fsi = 12096, Ff = 1087136 + Slow Newton iters = 8091 + Slow Newton conv fails = 0 + Slow Jacobian evals = 51 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_13_4_0.01.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_13_4_0.01.out new file mode 100644 index 0000000..7317846 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_13_4_0.01.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.01 + hf = 0.0001 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_IMEX_MRI_SR43 + reltol = 1.00e-08, abstol = 1.00e-14 + fast solver: erk-4-4 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 7.51e-08 2.97e-08 + 0.200000 1.220669 1.551800 7.47e-08 5.67e-08 + 0.300000 1.215594 1.467737 7.40e-08 8.08e-08 + 0.400000 1.208524 1.154583 7.27e-08 1.02e-07 + 0.500000 1.199496 1.721908 7.14e-08 1.21e-07 + 0.600000 1.188557 1.023517 6.91e-08 1.37e-07 + 0.700000 1.175764 1.622750 6.68e-08 1.51e-07 + 0.800000 1.161186 1.374632 6.39e-08 1.62e-07 + 0.900000 1.144904 1.245763 6.08e-08 1.72e-07 + 1.000000 1.127010 1.691839 5.67e-08 1.78e-07 + 1.100000 1.107609 1.000489 5.49e-08 1.83e-07 + 1.200000 1.086820 1.677552 4.79e-08 1.85e-07 + 1.300000 1.064777 1.277775 4.43e-08 1.85e-07 + 1.400000 1.041625 1.342455 3.64e-08 1.83e-07 + 1.500000 1.017531 1.642940 3.04e-08 1.78e-07 + 1.600000 0.992673 1.012112 2.26e-08 1.71e-07 + 1.700000 0.967253 1.714058 1.02e-08 1.62e-07 + 1.800000 0.941488 1.183866 6.48e-09 1.50e-07 + 1.900000 0.915617 1.437465 3.83e-09 1.36e-07 + 2.000000 0.889903 1.577082 1.47e-08 1.19e-07 + 2.100000 0.864625 1.056467 2.49e-08 9.99e-08 + 2.200000 0.840089 1.730920 3.69e-08 7.77e-08 + 2.300000 0.816616 1.101047 5.28e-08 5.28e-08 + 2.400000 0.794546 1.525051 6.32e-08 2.50e-08 + 2.500000 0.774228 1.496993 7.57e-08 5.17e-09 + 2.600000 0.756013 1.126857 8.93e-08 3.76e-08 + 2.700000 0.740246 1.727536 1.01e-07 7.19e-08 + 2.800000 0.727248 1.038393 1.12e-07 1.07e-07 + 2.900000 0.717301 1.600759 1.21e-07 1.44e-07 + 3.000000 0.710636 1.406380 1.27e-07 1.79e-07 + 3.100000 0.707413 1.214353 1.31e-07 2.13e-07 + 3.200000 0.707710 1.704026 1.31e-07 2.45e-07 + 3.300000 0.711520 1.004391 1.28e-07 2.73e-07 + 3.400000 0.718750 1.661225 1.22e-07 2.97e-07 + 3.500000 0.729227 1.310102 1.14e-07 3.15e-07 + 3.600000 0.742712 1.310080 1.03e-07 3.28e-07 + 3.700000 0.758914 1.661237 9.11e-08 3.35e-07 + 3.800000 0.777506 1.004387 7.85e-08 3.36e-07 + 3.900000 0.798144 1.704019 6.30e-08 3.32e-07 + 4.000000 0.820474 1.214374 5.22e-08 3.23e-07 + 4.100000 0.844149 1.406358 4.01e-08 3.10e-07 + 4.200000 0.868832 1.600775 2.78e-08 2.94e-07 + 4.300000 0.894204 1.038382 1.74e-08 2.74e-07 + 4.400000 0.919964 1.727534 6.17e-09 2.52e-07 + 4.500000 0.945834 1.126875 2.12e-09 2.28e-07 + 4.600000 0.971557 1.496974 1.37e-08 2.03e-07 + 4.700000 0.996898 1.525070 1.98e-08 1.77e-07 + 4.800000 1.021641 1.101030 2.80e-08 1.50e-07 + 4.900000 1.045589 1.730922 4.06e-08 1.23e-07 + 5.000000 1.068565 1.056480 4.09e-08 9.60e-08 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 501, nstf = 202905 + u error = 7.089e-08, v error = 1.970e-07, total error = 1.480e-07 + Total RHS evals: Fse = 3007, Fsi = 8869, Ff = 811670 + Slow Newton iters = 5862 + Slow Newton conv fails = 0 + Slow Jacobian evals = 26 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_1_0_0.01.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_1_0_0.01.out new file mode 100644 index 0000000..2c625ca --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_1_0_0.01.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.01 + hf = 0.0001 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MIS_KW3 + fast solver: none + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223763 1.078830 3.82e-05 1.37e-03 + 0.200000 1.220621 1.551459 4.80e-05 3.41e-04 + 0.300000 1.215670 1.468283 7.66e-05 5.46e-04 + 0.400000 1.208470 1.153553 5.41e-05 1.03e-03 + 0.500000 1.199503 1.721912 7.15e-06 4.49e-06 + 0.600000 1.188562 1.024685 5.17e-06 1.17e-03 + 0.700000 1.175722 1.622394 4.23e-05 3.56e-04 + 0.800000 1.161273 1.375492 8.70e-05 8.60e-04 + 0.900000 1.144848 1.244851 5.63e-05 9.12e-04 + 1.000000 1.127033 1.692049 2.33e-05 2.10e-04 + 1.100000 1.107588 1.000787 2.12e-05 2.98e-04 + 1.200000 1.086786 1.677292 3.42e-05 2.60e-04 + 1.300000 1.064866 1.278796 8.90e-05 1.02e-03 + 1.400000 1.041569 1.341623 5.69e-05 8.32e-04 + 1.500000 1.017571 1.643329 4.05e-05 3.90e-04 + 1.600000 0.992634 1.011394 3.91e-05 7.18e-04 + 1.700000 0.967229 1.714025 2.36e-05 3.26e-05 + 1.800000 0.941564 1.184983 7.60e-05 1.12e-03 + 1.900000 0.915563 1.436882 5.48e-05 5.83e-04 + 2.000000 0.889959 1.577469 5.66e-05 3.87e-04 + 2.100000 0.864576 1.055284 4.95e-05 1.18e-03 + 2.200000 0.840077 1.730958 1.20e-05 3.74e-05 + 2.300000 0.816664 1.102379 4.78e-05 1.33e-03 + 2.400000 0.794495 1.524701 5.10e-05 3.50e-04 + 2.500000 0.774298 1.497468 7.05e-05 4.75e-04 + 2.600000 0.755958 1.125772 5.49e-05 1.09e-03 + 2.700000 0.740246 1.727533 4.86e-07 3.55e-06 + 2.800000 0.727261 1.039718 1.36e-05 1.32e-03 + 2.900000 0.717255 1.600423 4.64e-05 3.36e-04 + 3.000000 0.710718 1.407151 8.20e-05 7.72e-04 + 3.100000 0.707355 1.213428 5.79e-05 9.25e-04 + 3.200000 0.707725 1.704161 1.55e-05 1.35e-04 + 3.300000 0.711504 1.005042 1.53e-05 6.51e-04 + 3.400000 0.718710 1.660915 3.93e-05 3.10e-04 + 3.500000 0.729315 1.311097 8.81e-05 9.95e-04 + 3.600000 0.742653 1.309213 5.87e-05 8.67e-04 + 3.700000 0.758947 1.661594 3.32e-05 3.57e-04 + 3.800000 0.777471 1.003977 3.51e-05 4.10e-04 + 3.900000 0.798115 1.703919 2.87e-05 9.98e-05 + 4.000000 0.820556 1.215451 8.20e-05 1.08e-03 + 4.100000 0.844093 1.405680 5.66e-05 6.78e-04 + 4.200000 0.868883 1.601174 5.11e-05 3.99e-04 + 4.300000 0.894157 1.037277 4.67e-05 1.10e-03 + 4.400000 0.919948 1.727576 1.61e-05 4.25e-05 + 4.500000 0.945893 1.128134 5.94e-05 1.26e-03 + 4.600000 0.971505 1.496571 5.20e-05 4.03e-04 + 4.700000 0.996965 1.525489 6.71e-05 4.19e-04 + 4.800000 1.021588 1.099882 5.24e-05 1.15e-03 + 4.900000 1.045586 1.730924 2.84e-06 2.62e-06 + 5.000000 1.068592 1.057870 2.68e-05 1.39e-03 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 501, nstf = 50601 + u error = 5.052e-05, v error = 7.684e-04, total error = 5.445e-04 + Total RHS evals: Fs = 1504, Ff = 151853 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_1_1_0.002.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_1_1_0.002.out new file mode 100644 index 0000000..ce04545 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_1_1_0.002.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.002 + hf = 2e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MIS_KW3 + fast solver: esdirk-3-3 + reltol = 8.00e-09, abstol = 1.00e-11 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 4.99e-09 6.44e-11 + 0.200000 1.220669 1.551800 4.96e-09 1.43e-10 + 0.300000 1.215594 1.467737 4.90e-09 2.14e-10 + 0.400000 1.208524 1.154583 4.81e-09 2.79e-10 + 0.500000 1.199496 1.721908 4.70e-09 3.33e-10 + 0.600000 1.188557 1.023517 4.57e-09 3.84e-10 + 0.700000 1.175764 1.622751 4.40e-09 4.23e-10 + 0.800000 1.161186 1.374632 4.21e-09 4.58e-10 + 0.900000 1.144904 1.245763 3.98e-09 4.86e-10 + 1.000000 1.127010 1.691839 3.73e-09 5.06e-10 + 1.100000 1.107609 1.000489 3.45e-09 5.20e-10 + 1.200000 1.086821 1.677552 3.13e-09 5.29e-10 + 1.300000 1.064777 1.277775 2.77e-09 5.30e-10 + 1.400000 1.041625 1.342455 2.38e-09 5.25e-10 + 1.500000 1.017531 1.642940 1.94e-09 5.15e-10 + 1.600000 0.992673 1.012112 1.46e-09 4.96e-10 + 1.700000 0.967253 1.714058 9.32e-10 4.72e-10 + 1.800000 0.941488 1.183867 3.54e-10 4.40e-10 + 1.900000 0.915617 1.437465 2.75e-10 4.01e-10 + 2.000000 0.889903 1.577082 9.56e-10 3.55e-10 + 2.100000 0.864625 1.056467 1.69e-09 3.06e-10 + 2.200000 0.840089 1.730920 2.47e-09 2.39e-10 + 2.300000 0.816616 1.101047 3.30e-09 1.74e-10 + 2.400000 0.794546 1.525051 4.15e-09 9.35e-11 + 2.500000 0.774227 1.496993 5.01e-09 9.06e-12 + 2.600000 0.756013 1.126857 5.86e-09 7.92e-11 + 2.700000 0.740246 1.727536 6.67e-09 1.81e-10 + 2.800000 0.727247 1.038393 7.38e-09 2.77e-10 + 2.900000 0.717301 1.600759 7.97e-09 3.85e-10 + 3.000000 0.710636 1.406380 8.40e-09 4.86e-10 + 3.100000 0.707412 1.214353 8.63e-09 5.84e-10 + 3.200000 0.707709 1.704026 8.65e-09 6.81e-10 + 3.300000 0.711520 1.004391 8.46e-09 7.58e-10 + 3.400000 0.718750 1.661225 8.06e-09 8.35e-10 + 3.500000 0.729227 1.310102 7.50e-09 8.89e-10 + 3.600000 0.742712 1.310080 6.80e-09 9.29e-10 + 3.700000 0.758914 1.661237 6.01e-09 9.56e-10 + 3.800000 0.777506 1.004387 5.16e-09 9.59e-10 + 3.900000 0.798144 1.704019 4.29e-09 9.58e-10 + 4.000000 0.820474 1.214374 3.43e-09 9.32e-10 + 4.100000 0.844149 1.406358 2.60e-09 9.00e-10 + 4.200000 0.868832 1.600774 1.81e-09 8.56e-10 + 4.300000 0.894204 1.038382 1.06e-09 7.97e-10 + 4.400000 0.919964 1.727533 3.69e-10 7.42e-10 + 4.500000 0.945834 1.126875 2.71e-10 6.69e-10 + 4.600000 0.971557 1.496974 8.58e-10 6.01e-10 + 4.700000 0.996898 1.525070 1.40e-09 5.27e-10 + 4.800000 1.021641 1.101030 1.88e-09 4.46e-10 + 4.900000 1.045589 1.730922 2.33e-09 3.74e-10 + 5.000000 1.068565 1.056480 2.73e-09 2.91e-10 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 2501, nstf = 252601 + u error = 4.671e-09, v error = 5.637e-10, total error = 3.327e-09 + Total RHS evals: Fs = 7504, Ff = 0 + Fast Newton iters = 653849 + Fast Newton conv fails = 0 + Fast Jacobian evals = 4169 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_2_4_0.002.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_2_4_0.002.out new file mode 100644 index 0000000..b8abfa8 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_2_4_0.002.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.002 + hf = 2e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MRI_GARK_ERK45a + fast solver: erk-4-4 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 1.78e-10 1.07e-11 + 0.200000 1.220669 1.551800 1.77e-10 2.15e-11 + 0.300000 1.215594 1.467737 1.75e-10 3.07e-11 + 0.400000 1.208524 1.154583 1.72e-10 3.88e-11 + 0.500000 1.199496 1.721908 1.68e-10 4.68e-11 + 0.600000 1.188557 1.023517 1.63e-10 5.25e-11 + 0.700000 1.175764 1.622751 1.57e-10 5.85e-11 + 0.800000 1.161186 1.374632 1.50e-10 6.28e-11 + 0.900000 1.144904 1.245763 1.42e-10 6.63e-11 + 1.000000 1.127010 1.691839 1.33e-10 6.94e-11 + 1.100000 1.107609 1.000489 1.23e-10 7.12e-11 + 1.200000 1.086821 1.677552 1.12e-10 7.21e-11 + 1.300000 1.064777 1.277775 9.89e-11 7.21e-11 + 1.400000 1.041625 1.342455 8.49e-11 7.13e-11 + 1.500000 1.017531 1.642940 6.94e-11 6.96e-11 + 1.600000 0.992673 1.012112 5.24e-11 6.69e-11 + 1.700000 0.967253 1.714058 3.37e-11 6.34e-11 + 1.800000 0.941488 1.183867 1.32e-11 5.89e-11 + 1.900000 0.915617 1.437465 9.11e-12 5.33e-11 + 2.000000 0.889903 1.577082 3.33e-11 4.69e-11 + 2.100000 0.864625 1.056467 5.94e-11 3.57e-11 + 2.200000 0.840089 1.730920 8.72e-11 3.22e-11 + 2.300000 0.816616 1.101047 1.16e-10 1.97e-11 + 2.400000 0.794546 1.525051 1.47e-10 7.75e-12 + 2.500000 0.774227 1.496993 1.78e-10 2.45e-12 + 2.600000 0.756013 1.126857 2.08e-10 1.99e-11 + 2.700000 0.740246 1.727536 2.36e-10 2.32e-11 + 2.800000 0.727247 1.038393 2.62e-10 4.19e-11 + 2.900000 0.717301 1.600759 2.83e-10 5.92e-11 + 3.000000 0.710636 1.406380 2.99e-10 6.19e-11 + 3.100000 0.707412 1.214353 3.07e-10 9.20e-11 + 3.200000 0.707709 1.704026 3.08e-10 8.71e-11 + 3.300000 0.711520 1.004391 3.02e-10 1.08e-10 + 3.400000 0.718750 1.661225 2.88e-10 1.19e-10 + 3.500000 0.729227 1.310102 2.68e-10 1.13e-10 + 3.600000 0.742712 1.310080 2.43e-10 1.41e-10 + 3.700000 0.758914 1.661237 2.15e-10 1.18e-10 + 3.800000 0.777506 1.004387 1.85e-10 1.38e-10 + 3.900000 0.798144 1.704019 1.54e-10 1.31e-10 + 4.000000 0.820474 1.214374 1.24e-10 1.16e-10 + 4.100000 0.844149 1.406358 9.39e-11 1.38e-10 + 4.200000 0.868832 1.600774 6.55e-11 9.88e-11 + 4.300000 0.894204 1.038382 3.88e-11 1.20e-10 + 4.400000 0.919964 1.727533 1.40e-11 9.58e-11 + 4.500000 0.945834 1.126875 8.93e-12 8.01e-11 + 4.600000 0.971557 1.496974 3.00e-11 9.82e-11 + 4.700000 0.996898 1.525070 4.92e-11 4.94e-11 + 4.800000 1.021641 1.101030 6.67e-11 7.79e-11 + 4.900000 1.045589 1.730922 8.26e-11 3.90e-11 + 5.000000 1.068565 1.056480 9.70e-11 3.19e-11 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 2501, nstf = 250100 + u error = 1.665e-10, v error = 7.714e-11, total error = 1.297e-10 + Total RHS evals: Fs = 12506, Ff = 1000450 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_3_2_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_3_2_0.001.out new file mode 100644 index 0000000..f5196d7 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_3_2_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK21 + fast solver: ARKODE_HEUN_EULER_2_1_2 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 2.66e-08 4.86e-08 + 0.200000 1.220669 1.551800 2.66e-08 1.34e-09 + 0.300000 1.215594 1.467737 2.62e-08 4.29e-09 + 0.400000 1.208524 1.154583 2.58e-08 2.80e-08 + 0.500000 1.199496 1.721908 2.53e-08 1.39e-08 + 0.600000 1.188557 1.023517 2.44e-08 4.48e-08 + 0.700000 1.175764 1.622750 2.37e-08 1.39e-08 + 0.800000 1.161186 1.374632 2.25e-08 9.64e-11 + 0.900000 1.144904 1.245763 2.14e-08 8.43e-09 + 1.000000 1.127010 1.691839 2.01e-08 2.07e-08 + 1.100000 1.107609 1.000490 1.84e-08 4.20e-08 + 1.200000 1.086821 1.677552 1.69e-08 2.25e-08 + 1.300000 1.064777 1.277775 1.48e-08 2.79e-09 + 1.400000 1.041625 1.342455 1.28e-08 4.44e-09 + 1.500000 1.017531 1.642940 1.04e-08 2.19e-08 + 1.600000 0.992673 1.012112 7.76e-09 3.67e-08 + 1.700000 0.967253 1.714058 5.06e-09 2.59e-08 + 1.800000 0.941488 1.183867 1.75e-09 1.13e-08 + 1.900000 0.915617 1.437465 1.44e-09 1.16e-08 + 2.000000 0.889903 1.577082 5.21e-09 1.82e-08 + 2.100000 0.864625 1.056467 9.17e-09 2.94e-08 + 2.200000 0.840089 1.730920 1.33e-08 2.47e-08 + 2.300000 0.816616 1.101047 1.79e-08 2.45e-08 + 2.400000 0.794546 1.525051 2.23e-08 1.36e-08 + 2.500000 0.774228 1.496993 2.71e-08 9.85e-09 + 2.600000 0.756013 1.126857 3.16e-08 2.30e-08 + 2.700000 0.740246 1.727536 3.59e-08 1.92e-08 + 2.800000 0.727247 1.038393 3.99e-08 4.04e-08 + 2.900000 0.717301 1.600759 4.28e-08 1.12e-08 + 3.000000 0.710636 1.406380 4.52e-08 2.44e-09 + 3.100000 0.707413 1.214353 4.63e-08 1.90e-08 + 3.200000 0.707709 1.704026 4.64e-08 1.14e-08 + 3.300000 0.711520 1.004391 4.55e-08 5.32e-08 + 3.400000 0.718750 1.661225 4.31e-08 8.10e-09 + 3.500000 0.729227 1.310102 4.03e-08 1.50e-08 + 3.600000 0.742712 1.310080 3.64e-08 1.43e-08 + 3.700000 0.758914 1.661237 3.21e-08 6.04e-09 + 3.800000 0.777506 1.004387 2.77e-08 5.53e-08 + 3.900000 0.798144 1.704019 2.29e-08 8.68e-09 + 4.000000 0.820474 1.214374 1.85e-08 2.42e-08 + 4.100000 0.844149 1.406358 1.38e-08 6.00e-09 + 4.200000 0.868832 1.600774 9.67e-09 4.99e-09 + 4.300000 0.894204 1.038382 5.70e-09 4.57e-08 + 4.400000 0.919964 1.727533 1.89e-09 1.31e-08 + 4.500000 0.945834 1.126875 1.34e-09 3.06e-08 + 4.600000 0.971557 1.496974 4.69e-09 4.31e-09 + 4.700000 0.996898 1.525070 7.45e-09 5.97e-09 + 4.800000 1.021641 1.101030 1.01e-08 2.99e-08 + 4.900000 1.045589 1.730922 1.25e-08 1.86e-08 + 5.000000 1.068565 1.056480 1.45e-08 3.56e-08 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 750000 + u error = 2.508e-08, v error = 2.443e-08, total error = 2.476e-08 + Total RHS evals: Fs = 10001, Ff = 1500050 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_4_3_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_4_3_0.001.out new file mode 100644 index 0000000..5002013 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_4_3_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK32 + fast solver: erk-3-3 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 8.92e-10 3.75e-11 + 0.200000 1.220669 1.551800 8.86e-10 7.57e-11 + 0.300000 1.215594 1.467737 8.75e-10 1.10e-10 + 0.400000 1.208524 1.154583 8.59e-10 1.40e-10 + 0.500000 1.199496 1.721908 8.39e-10 1.66e-10 + 0.600000 1.188557 1.023517 8.15e-10 1.89e-10 + 0.700000 1.175764 1.622751 7.85e-10 2.09e-10 + 0.800000 1.161186 1.374632 7.50e-10 2.25e-10 + 0.900000 1.144904 1.245763 7.10e-10 2.38e-10 + 1.000000 1.127010 1.691839 6.65e-10 2.47e-10 + 1.100000 1.107609 1.000489 6.13e-10 2.58e-10 + 1.200000 1.086821 1.677552 5.56e-10 2.57e-10 + 1.300000 1.064777 1.277775 4.92e-10 2.59e-10 + 1.400000 1.041625 1.342455 4.21e-10 2.56e-10 + 1.500000 1.017531 1.642940 3.43e-10 2.47e-10 + 1.600000 0.992673 1.012112 2.56e-10 2.42e-10 + 1.700000 0.967253 1.714058 1.61e-10 2.25e-10 + 1.800000 0.941488 1.183867 5.78e-11 2.12e-10 + 1.900000 0.915617 1.437465 5.52e-11 1.90e-10 + 2.000000 0.889903 1.577082 1.78e-10 1.66e-10 + 2.100000 0.864625 1.056467 3.09e-10 1.42e-10 + 2.200000 0.840089 1.730920 4.50e-10 1.07e-10 + 2.300000 0.816616 1.101047 5.97e-10 7.65e-11 + 2.400000 0.794546 1.525051 7.50e-10 3.53e-11 + 2.500000 0.774227 1.496993 9.05e-10 6.53e-12 + 2.600000 0.756013 1.126857 1.06e-09 4.93e-11 + 2.700000 0.740246 1.727536 1.20e-09 1.01e-10 + 2.800000 0.727247 1.038393 1.33e-09 1.46e-10 + 2.900000 0.717301 1.600759 1.43e-09 2.00e-10 + 3.000000 0.710636 1.406380 1.50e-09 2.49e-10 + 3.100000 0.707412 1.214353 1.54e-09 2.95e-10 + 3.200000 0.707709 1.704026 1.55e-09 3.43e-10 + 3.300000 0.711520 1.004391 1.51e-09 3.77e-10 + 3.400000 0.718750 1.661225 1.44e-09 4.14e-10 + 3.500000 0.729227 1.310102 1.33e-09 4.38e-10 + 3.600000 0.742712 1.310080 1.21e-09 4.56e-10 + 3.700000 0.758914 1.661237 1.07e-09 4.68e-10 + 3.800000 0.777506 1.004387 9.14e-10 4.66e-10 + 3.900000 0.798144 1.704019 7.60e-10 4.65e-10 + 4.000000 0.820474 1.214374 6.06e-10 4.50e-10 + 4.100000 0.844149 1.406358 4.58e-10 4.31e-10 + 4.200000 0.868832 1.600774 3.16e-10 4.10e-10 + 4.300000 0.894204 1.038382 1.84e-10 3.81e-10 + 4.400000 0.919964 1.727533 6.02e-11 3.51e-10 + 4.500000 0.945834 1.126875 5.36e-11 3.19e-10 + 4.600000 0.971557 1.496974 1.58e-10 2.82e-10 + 4.700000 0.996898 1.525070 2.54e-10 2.47e-10 + 4.800000 1.021641 1.101030 3.41e-10 2.09e-10 + 4.900000 1.045589 1.730922 4.20e-10 1.72e-10 + 5.000000 1.068565 1.056480 4.91e-10 1.34e-10 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 1085000 + u error = 8.345e-10, v error = 2.743e-10, total error = 6.212e-10 + Total RHS evals: Fs = 15001, Ff = 3255050 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_5_4_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_5_4_0.001.out new file mode 100644 index 0000000..8e408ca --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_5_4_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK43 + fast solver: erk-4-4 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 2.23e-11 1.15e-12 + 0.200000 1.220669 1.551800 2.21e-11 1.92e-12 + 0.300000 1.215594 1.467737 2.19e-11 2.71e-12 + 0.400000 1.208524 1.154583 2.15e-11 3.14e-12 + 0.500000 1.199496 1.721908 2.10e-11 4.37e-12 + 0.600000 1.188557 1.023517 2.03e-11 4.94e-12 + 0.700000 1.175764 1.622751 1.96e-11 5.31e-12 + 0.800000 1.161186 1.374632 1.87e-11 5.82e-12 + 0.900000 1.144904 1.245763 1.77e-11 5.97e-12 + 1.000000 1.127010 1.691839 1.66e-11 6.30e-12 + 1.100000 1.107609 1.000489 1.52e-11 2.00e-12 + 1.200000 1.086821 1.677552 1.38e-11 6.20e-12 + 1.300000 1.064777 1.277775 1.22e-11 6.14e-12 + 1.400000 1.041625 1.342455 1.04e-11 1.56e-12 + 1.500000 1.017531 1.642940 8.47e-12 9.89e-12 + 1.600000 0.992673 1.012112 6.30e-12 4.47e-13 + 1.700000 0.967253 1.714058 3.95e-12 6.46e-12 + 1.800000 0.941488 1.183867 1.35e-12 7.16e-12 + 1.900000 0.915617 1.437465 1.47e-12 2.70e-12 + 2.000000 0.889903 1.577082 4.53e-12 1.16e-11 + 2.100000 0.864625 1.056467 7.80e-12 5.16e-12 + 2.200000 0.840089 1.730920 1.13e-11 6.35e-12 + 2.300000 0.816616 1.101047 1.50e-11 4.17e-12 + 2.400000 0.794546 1.525051 1.88e-11 8.29e-12 + 2.500000 0.774227 1.496993 2.27e-11 1.08e-11 + 2.600000 0.756013 1.126857 2.64e-11 1.42e-11 + 2.700000 0.740246 1.727536 3.00e-11 5.47e-12 + 2.800000 0.727247 1.038393 3.32e-11 3.03e-12 + 2.900000 0.717301 1.600759 3.58e-11 1.40e-11 + 3.000000 0.710636 1.406380 3.76e-11 7.68e-12 + 3.100000 0.707412 1.214353 3.86e-11 2.49e-11 + 3.200000 0.707709 1.704026 3.86e-11 4.61e-12 + 3.300000 0.711520 1.004391 3.77e-11 1.29e-11 + 3.400000 0.718750 1.661225 3.59e-11 1.68e-11 + 3.500000 0.729227 1.310102 3.33e-11 4.71e-12 + 3.600000 0.742712 1.310080 3.02e-11 3.30e-11 + 3.700000 0.758914 1.661237 2.66e-11 6.81e-12 + 3.800000 0.777506 1.004387 2.28e-11 2.15e-11 + 3.900000 0.798144 1.704019 1.89e-11 1.30e-11 + 4.000000 0.820474 1.214374 1.51e-11 4.33e-12 + 4.100000 0.844149 1.406358 1.14e-11 3.43e-11 + 4.200000 0.868832 1.600774 7.85e-12 5.29e-12 + 4.300000 0.894204 1.038382 4.53e-12 2.10e-11 + 4.400000 0.919964 1.727533 1.45e-12 8.06e-12 + 4.500000 0.945834 1.126875 1.40e-12 2.24e-12 + 4.600000 0.971557 1.496974 4.01e-12 1.69e-11 + 4.700000 0.996898 1.525070 6.40e-12 2.17e-13 + 4.800000 1.021641 1.101030 8.58e-12 1.01e-11 + 4.900000 1.045589 1.730922 1.06e-11 4.05e-12 + 5.000000 1.068565 1.056480 1.23e-11 3.61e-12 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 1425000 + u error = 2.085e-11, v error = 1.132e-11, total error = 1.678e-11 + Total RHS evals: Fs = 30001, Ff = 5700050 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_6_5_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_6_5_0.001.out new file mode 100644 index 0000000..a60e450 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_6_5_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK54 + fast solver: ARKODE_DORMAND_PRINCE_7_4_5 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 4.46e-13 2.08e-13 + 0.200000 1.220669 1.551800 4.42e-13 6.88e-15 + 0.300000 1.215594 1.467737 4.37e-13 7.22e-14 + 0.400000 1.208524 1.154583 4.28e-13 3.99e-13 + 0.500000 1.199496 1.721908 4.18e-13 1.65e-13 + 0.600000 1.188557 1.023517 4.07e-13 1.50e-13 + 0.700000 1.175764 1.622751 3.88e-13 2.86e-14 + 0.800000 1.161186 1.374632 3.73e-13 1.48e-13 + 0.900000 1.144904 1.245763 3.52e-13 3.93e-14 + 1.000000 1.127010 1.691839 3.32e-13 4.77e-14 + 1.100000 1.107609 1.000489 3.33e-13 4.42e-12 + 1.200000 1.086821 1.677552 2.90e-13 2.80e-13 + 1.300000 1.064777 1.277775 2.74e-13 3.47e-13 + 1.400000 1.041625 1.342455 2.24e-13 4.84e-12 + 1.500000 1.017531 1.642940 1.92e-13 3.64e-12 + 1.600000 0.992673 1.012112 1.52e-13 5.55e-12 + 1.700000 0.967253 1.714058 9.33e-14 7.75e-13 + 1.800000 0.941488 1.183867 5.52e-14 1.87e-12 + 1.900000 0.915617 1.437465 1.53e-14 7.48e-12 + 2.000000 0.889903 1.577082 6.78e-14 7.44e-12 + 2.100000 0.864625 1.056467 1.36e-13 8.63e-12 + 2.200000 0.840089 1.730920 2.16e-13 3.66e-12 + 2.300000 0.816616 1.101047 2.76e-13 2.38e-12 + 2.400000 0.794546 1.525051 3.69e-13 9.12e-12 + 2.500000 0.774227 1.496993 4.38e-13 1.11e-11 + 2.600000 0.756013 1.126857 5.20e-13 1.28e-11 + 2.700000 0.740246 1.727536 5.97e-13 8.05e-12 + 2.800000 0.727247 1.038393 6.51e-13 7.73e-13 + 2.900000 0.717301 1.600759 7.23e-13 8.96e-12 + 3.000000 0.710636 1.406380 7.50e-13 1.40e-11 + 3.100000 0.707412 1.214353 7.81e-13 1.74e-11 + 3.200000 0.707709 1.704026 7.84e-13 1.33e-11 + 3.300000 0.711520 1.004391 7.58e-13 3.30e-12 + 3.400000 0.718750 1.661225 7.40e-13 6.43e-12 + 3.500000 0.729227 1.310102 6.75e-13 1.58e-11 + 3.600000 0.742712 1.310080 6.25e-13 2.14e-11 + 3.700000 0.758914 1.661237 5.52e-13 1.86e-11 + 3.800000 0.777506 1.004387 4.71e-13 9.68e-12 + 3.900000 0.798144 1.704019 4.06e-13 1.34e-12 + 4.000000 0.820474 1.214374 3.13e-13 1.57e-11 + 4.100000 0.844149 1.406358 2.24e-13 2.33e-11 + 4.200000 0.868832 1.600774 1.55e-13 1.56e-11 + 4.300000 0.894204 1.038382 8.57e-14 1.13e-11 + 4.400000 0.919964 1.727533 2.70e-14 7.79e-13 + 4.500000 0.945834 1.126875 3.24e-14 5.77e-12 + 4.600000 0.971557 1.496974 8.40e-14 9.76e-12 + 4.700000 0.996898 1.525070 1.31e-13 6.00e-12 + 4.800000 1.021641 1.101030 1.79e-13 4.81e-12 + 4.900000 1.045589 1.730922 2.13e-13 2.44e-13 + 5.000000 1.068565 1.056480 2.51e-13 2.92e-13 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 1615000 + u error = 4.211e-13, v error = 8.987e-12, total error = 6.362e-12 + Total RHS evals: Fs = 50051, Ff = 9715100 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_7_2_0.002.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_7_2_0.002.out new file mode 100644 index 0000000..35ce8db --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_7_2_0.002.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.002 + hf = 2e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MRI_GARK_IRK21a + reltol = 4.00e-06, abstol = 1.00e-11 + fast solver: ARKODE_HEUN_EULER_2_1_2 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 2.77e-08 1.95e-07 + 0.200000 1.220666 1.551800 2.88e-06 1.72e-08 + 0.300000 1.215594 1.467737 5.07e-10 2.58e-08 + 0.400000 1.208524 1.154583 1.40e-07 8.86e-08 + 0.500000 1.199497 1.721908 3.78e-07 7.73e-08 + 0.600000 1.188557 1.023517 3.84e-07 1.66e-07 + 0.700000 1.175764 1.622750 1.13e-08 7.38e-08 + 0.800000 1.161181 1.374632 5.67e-06 2.19e-08 + 0.900000 1.144904 1.245763 5.40e-08 6.40e-09 + 1.000000 1.127010 1.691839 4.83e-09 1.22e-07 + 1.100000 1.107609 1.000490 3.50e-07 1.24e-07 + 1.200000 1.086820 1.677552 1.80e-07 1.28e-07 + 1.300000 1.064777 1.277775 2.08e-08 5.87e-08 + 1.400000 1.041625 1.342455 6.57e-08 8.60e-08 + 1.500000 1.017531 1.642940 1.02e-08 1.45e-07 + 1.600000 0.992673 1.012112 7.42e-10 8.75e-08 + 1.700000 0.967251 1.714058 1.26e-06 1.96e-07 + 1.800000 0.941487 1.183866 5.89e-07 4.82e-08 + 1.900000 0.915617 1.437465 8.48e-11 1.34e-07 + 2.000000 0.889902 1.577082 8.30e-08 1.60e-07 + 2.100000 0.864625 1.056467 2.81e-08 3.18e-08 + 2.200000 0.840089 1.730920 2.75e-07 2.23e-07 + 2.300000 0.816616 1.101047 1.41e-08 3.14e-08 + 2.400000 0.794545 1.525051 5.03e-07 1.81e-07 + 2.500000 0.774227 1.496993 7.88e-10 1.70e-07 + 2.600000 0.756013 1.126857 1.27e-07 8.49e-08 + 2.700000 0.740246 1.727536 2.32e-07 2.61e-07 + 2.800000 0.727247 1.038393 6.92e-08 2.11e-08 + 2.900000 0.717301 1.600759 1.26e-08 2.31e-07 + 3.000000 0.710630 1.406379 6.27e-06 1.95e-07 + 3.100000 0.707412 1.214352 2.29e-08 1.59e-07 + 3.200000 0.707709 1.704026 1.45e-09 2.91e-07 + 3.300000 0.711519 1.004391 8.68e-08 2.89e-08 + 3.400000 0.718749 1.661225 2.14e-07 2.74e-07 + 3.500000 0.729227 1.310102 1.60e-08 2.21e-07 + 3.600000 0.742712 1.310080 1.03e-08 2.20e-07 + 3.700000 0.758914 1.661236 2.40e-08 2.91e-07 + 3.800000 0.777506 1.004387 4.29e-09 3.73e-08 + 3.900000 0.798143 1.704018 8.32e-07 3.27e-07 + 4.000000 0.820474 1.214374 7.44e-07 1.84e-07 + 4.100000 0.844149 1.406358 2.75e-09 2.40e-07 + 4.200000 0.868832 1.600774 1.39e-07 2.70e-07 + 4.300000 0.894204 1.038382 6.99e-08 5.45e-08 + 4.400000 0.919964 1.727533 3.58e-07 3.16e-07 + 4.500000 0.945834 1.126875 7.57e-09 1.27e-07 + 4.600000 0.971557 1.496973 7.25e-07 2.44e-07 + 4.700000 0.996898 1.525070 4.95e-08 2.35e-07 + 4.800000 1.021640 1.101030 1.22e-07 1.22e-07 + 4.900000 1.045589 1.730922 1.36e-07 3.02e-07 + 5.000000 1.068565 1.056480 2.82e-07 6.29e-08 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 2501, nstf = 250100 + u error = 1.301e-06, v error = 1.744e-07, total error = 9.284e-07 + Total RHS evals: Fs = 7002, Ff = 502751 + Slow Newton iters = 4500 + Slow Newton conv fails = 0 + Slow Jacobian evals = 126 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_8_3_0.001_-100_100_0.5_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_8_3_0.001_-100_100_0.5_1.out new file mode 100644 index 0000000..85bfb49 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_8_3_0.001_-100_100_0.5_1.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MRI_GARK_ESDIRK34a + reltol = 1.00e-09, abstol = 1.00e-11 + fast solver: erk-3-3 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 4.02e-10 5.73e-11 + 0.200000 1.220669 1.551800 4.06e-10 1.04e-10 + 0.300000 1.215594 1.467737 3.94e-10 1.46e-10 + 0.400000 1.208524 1.154583 3.88e-10 1.81e-10 + 0.500000 1.199496 1.721908 3.80e-10 2.13e-10 + 0.600000 1.188557 1.023517 3.81e-10 2.48e-10 + 0.700000 1.175764 1.622751 3.29e-10 2.78e-10 + 0.800000 1.161186 1.374632 3.41e-10 2.97e-10 + 0.900000 1.144904 1.245763 3.23e-10 3.04e-10 + 1.000000 1.127010 1.691839 3.02e-10 3.14e-10 + 1.100000 1.107609 1.000489 2.71e-10 3.23e-10 + 1.200000 1.086821 1.677552 2.54e-10 3.27e-10 + 1.300000 1.064777 1.277775 2.27e-10 3.33e-10 + 1.400000 1.041625 1.342455 1.95e-10 3.31e-10 + 1.500000 1.017531 1.642940 1.57e-10 3.21e-10 + 1.600000 0.992673 1.012112 1.21e-10 3.14e-10 + 1.700000 0.967253 1.714058 7.79e-11 2.93e-10 + 1.800000 0.941488 1.183867 3.33e-11 2.75e-10 + 1.900000 0.915617 1.437465 1.79e-11 2.47e-10 + 2.000000 0.889903 1.577082 7.24e-11 2.14e-10 + 2.100000 0.864625 1.056467 1.32e-10 1.79e-10 + 2.200000 0.840089 1.730920 1.96e-10 1.31e-10 + 2.300000 0.816616 1.101047 2.61e-10 8.71e-11 + 2.400000 0.794546 1.525051 3.30e-10 3.06e-11 + 2.500000 0.774227 1.496993 4.23e-10 4.32e-11 + 2.600000 0.756013 1.126857 4.68e-10 1.03e-10 + 2.700000 0.740246 1.727536 5.36e-10 1.73e-10 + 2.800000 0.727247 1.038393 5.93e-10 2.37e-10 + 2.900000 0.717301 1.600759 5.07e-10 3.10e-10 + 3.000000 0.710636 1.406380 6.73e-10 3.77e-10 + 3.100000 0.707412 1.214353 6.94e-10 4.43e-10 + 3.200000 0.707709 1.704026 6.99e-10 5.06e-10 + 3.300000 0.711520 1.004391 6.73e-10 5.54e-10 + 3.400000 0.718750 1.661225 6.52e-10 6.03e-10 + 3.500000 0.729227 1.310102 6.01e-10 6.37e-10 + 3.600000 0.742712 1.310080 5.52e-10 6.60e-10 + 3.700000 0.758914 1.661237 4.89e-10 6.76e-10 + 3.800000 0.777506 1.004387 4.21e-10 6.73e-10 + 3.900000 0.798144 1.704019 3.62e-10 6.70e-10 + 4.000000 0.820474 1.214374 2.84e-10 6.49e-10 + 4.100000 0.844149 1.406358 3.44e-10 6.18e-10 + 4.200000 0.868832 1.600774 1.51e-10 5.77e-10 + 4.300000 0.894204 1.038382 9.09e-11 5.60e-10 + 4.400000 0.919964 1.727533 4.16e-11 5.12e-10 + 4.500000 0.945834 1.126875 1.62e-11 4.84e-10 + 4.600000 0.971557 1.496974 6.43e-11 4.18e-10 + 4.700000 0.996898 1.525070 1.06e-10 3.66e-10 + 4.800000 1.021641 1.101030 1.47e-10 3.27e-10 + 4.900000 1.045589 1.730922 1.85e-10 2.48e-10 + 5.000000 1.068565 1.056480 3.43e-10 2.19e-10 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 510000 + u error = 3.763e-10, v error = 3.905e-10, total error = 3.835e-10 + Total RHS evals: Fs = 35263, Ff = 1530050 + Slow Newton iters = 30312 + Slow Newton conv fails = 0 + Slow Jacobian evals = 250 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_9_3_0.001_-100_100_0.5_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_9_3_0.001_-100_100_0.5_1.out new file mode 100644 index 0000000..969eb31 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_9_3_0.001_-100_100_0.5_1.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_IMEX_MRI_GARK3b + reltol = 1.00e-09, abstol = 1.00e-11 + fast solver: erk-3-3 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223725 1.077464 4.45e-10 2.59e-11 + 0.200000 1.220669 1.551800 1.84e-10 4.72e-11 + 0.300000 1.215594 1.467737 1.88e-10 6.69e-11 + 0.400000 1.208524 1.154583 1.82e-10 8.70e-11 + 0.500000 1.199496 1.721908 1.92e-10 1.02e-10 + 0.600000 1.188557 1.023517 1.72e-10 1.19e-10 + 0.700000 1.175764 1.622751 1.66e-10 1.26e-10 + 0.800000 1.161186 1.374632 1.60e-10 1.37e-10 + 0.900000 1.144904 1.245763 1.50e-10 1.45e-10 + 1.000000 1.127010 1.691839 1.39e-10 1.49e-10 + 1.100000 1.107609 1.000489 1.28e-10 1.48e-10 + 1.200000 1.086821 1.677552 1.16e-10 1.54e-10 + 1.300000 1.064777 1.277775 1.06e-10 1.54e-10 + 1.400000 1.041625 1.342455 8.86e-11 1.52e-10 + 1.500000 1.017531 1.642940 6.63e-11 1.54e-10 + 1.600000 0.992673 1.012112 5.20e-11 1.44e-10 + 1.700000 0.967253 1.714058 3.14e-11 1.40e-10 + 1.800000 0.941488 1.183867 1.25e-11 1.26e-10 + 1.900000 0.915617 1.437465 1.30e-11 1.15e-10 + 2.000000 0.889903 1.577082 3.91e-11 1.01e-10 + 2.100000 0.864625 1.056467 6.79e-11 8.03e-11 + 2.200000 0.840089 1.730920 9.97e-11 6.52e-11 + 2.300000 0.816616 1.101047 1.29e-10 3.94e-11 + 2.400000 0.794546 1.525051 1.61e-10 1.81e-11 + 2.500000 0.774227 1.496993 1.92e-10 8.14e-12 + 2.600000 0.756013 1.126857 2.26e-10 3.86e-11 + 2.700000 0.740246 1.727536 2.58e-10 6.41e-11 + 2.800000 0.727247 1.038393 2.84e-10 9.90e-11 + 2.900000 0.717301 1.600759 3.05e-10 1.26e-10 + 3.000000 0.710636 1.406380 3.19e-10 1.58e-10 + 3.100000 0.707412 1.214353 3.28e-10 1.87e-10 + 3.200000 0.707709 1.704026 3.28e-10 2.11e-10 + 3.300000 0.711520 1.004391 3.14e-10 2.38e-10 + 3.400000 0.718750 1.661225 3.03e-10 2.53e-10 + 3.500000 0.729227 1.310102 2.83e-10 2.70e-10 + 3.600000 0.742712 1.310080 2.55e-10 2.80e-10 + 3.700000 0.758914 1.661237 2.23e-10 2.81e-10 + 3.800000 0.777506 1.004387 1.90e-10 2.86e-10 + 3.900000 0.798144 1.704019 1.57e-10 2.77e-10 + 4.000000 0.820474 1.214374 1.28e-10 2.72e-10 + 4.100000 0.844149 1.406358 9.48e-11 2.67e-10 + 4.200000 0.868832 1.600774 6.42e-11 2.59e-10 + 4.300000 0.894204 1.038382 3.58e-11 2.20e-10 + 4.400000 0.919964 1.727533 9.16e-12 2.25e-10 + 4.500000 0.945834 1.126875 1.29e-11 1.82e-10 + 4.600000 0.971557 1.496974 3.55e-11 1.73e-10 + 4.700000 0.996898 1.525070 5.41e-11 1.52e-10 + 4.800000 1.021641 1.101030 7.39e-11 1.11e-10 + 4.900000 1.045589 1.730922 9.28e-11 1.12e-10 + 5.000000 1.068565 1.056480 1.06e-10 6.40e-11 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5000, nstf = 510000 + u error = 1.860e-10, v error = 1.672e-10, total error = 1.769e-10 + Total RHS evals: Fse = 20001, Fsi = 35342, Ff = 1530050 + Slow Newton iters = 30341 + Slow Newton conv fails = 0 + Slow Jacobian evals = 250 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_f2003_4_0.002.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_f2003_4_0.002.out index 22fca62..0fa85a2 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_f2003_4_0.002.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_mri_f2003_4_0.002.out @@ -64,7 +64,7 @@ Final Solver Statistics: Steps: nsts = 2501, nstf = 250100 u error = 0.348E-05, v error = 0.953E-03, total error = 0.674E-03 - Total RHS evals: Fs = 7143, Ff = 750350 + Total RHS evals: Fs = 7143, Ff = 752851 Slow Newton iters = 4641 Slow Newton conv fails = 0 Slow Jacobian evals = 126 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_nestedmri.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_nestedmri.out new file mode 100644 index 0000000..f45a637 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_kpr_nestedmri.out @@ -0,0 +1,51 @@ + +Adaptive nested multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + G = -10 + e = 0.5 + al = -1 + be = 1 + om = 50 + + Slow integrator: ARKODE_MRI_GARK_ERK45a (explicit) + + Intermediate integrator: ARKODE_MRI_GARK_ERK45a (explicit) + MRI-HTOL controller (using I for H) based on order of MRI embedding + rtol = 0.0001, atol = 1e-11 + fast error accumulation strategy = 0 + + Fast order 4 + I controller for fast time scale, based on order of RK embedding + fast_rtol = 0.0001, atol = 1e-11 + t u v w uerr verr werr + ---------------------------------------------------------------------------- + 0.000000 1.581139 1.732051 1.732051 0.00e+00 0.00e+00 0.00e+00 + 0.250000 1.576193 1.693804 1.005260 3.23e-06 1.18e-04 7.57e-05 + 0.500000 1.561425 1.094399 1.236935 2.15e-08 1.54e-05 2.85e-05 + 0.750000 1.537204 1.480202 1.289772 8.95e-04 1.47e-04 2.43e-04 + 1.000000 1.506472 1.658437 1.566267 2.26e-07 2.27e-05 1.87e-05 + 1.250000 1.468674 1.117329 1.128753 4.45e-06 8.37e-05 5.27e-06 + 1.500000 1.426602 1.451384 1.383651 1.49e-07 4.03e-06 2.37e-05 + 1.750000 1.382272 1.731275 1.400561 3.01e-05 6.40e-05 1.96e-04 + 2.000000 1.338548 1.576713 1.004568 1.72e-05 4.85e-05 3.52e-04 + 2.250000 1.298433 1.357466 1.203013 3.98e-06 7.57e-06 1.04e-04 + 2.500000 1.264637 1.111610 1.079957 3.74e-07 2.59e-05 3.61e-04 + 2.750000 1.240344 1.181466 1.688515 2.92e-06 3.40e-06 6.04e-05 + 3.000000 1.226753 1.199667 1.243892 3.15e-06 2.39e-06 5.78e-05 + 3.250000 1.225940 1.337036 1.695808 8.05e-05 2.56e-05 5.93e-05 + 3.500000 1.237625 1.494269 1.577837 3.48e-05 1.55e-06 2.09e-05 + 3.750000 1.261615 1.441503 1.440542 1.35e-07 1.70e-08 6.25e-06 + 4.000000 1.293574 1.067975 1.718719 4.77e-05 2.22e-05 1.30e-04 + 4.250000 1.333622 1.725039 1.003950 1.49e-11 6.53e-14 5.93e-10 + 4.500000 1.376484 1.650381 1.499914 2.63e-08 1.70e-06 6.88e-07 + 4.750000 1.420897 1.555399 1.167629 4.82e-08 1.80e-08 5.03e-06 + 5.000000 1.463498 1.506851 1.644668 7.85e-07 1.26e-05 2.66e-05 + ---------------------------------------------------------------------------- + +Final Solver Statistics: + Slow steps = 47 (attempts = 48, fails = 1, innerfails = 0) + Intermediate steps = 714 (attempts = 868, fails = 154, innerfails = 0) + Fast steps = 129455 (attempts = 144940, fails = 15485) + u error = 0.000228112, v error = 8.70956e-05, total error = 0.000169225 + Relative accuracy = 6.75352 + Total RHS evals: Fse = 240, Fsi = 0, Fme = 4187, Fmi = 0, Ff = 709217 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_reaction_diffusion_mri.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_reaction_diffusion_mri.out index f8cd47d..aae34dd 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_reaction_diffusion_mri.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_reaction_diffusion_mri.out @@ -51,6 +51,7 @@ Last step size = 0.001 Current step size = 0.001 Explicit slow RHS fn evals = 9004 Implicit slow RHS fn evals = 0 +Inner stepper failures = 0 NLS iters = 0 NLS fails = 0 NLS iters per step = 0 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_-4_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_-4_0.out new file mode 100644 index 0000000..717234b --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_-4_0.out @@ -0,0 +1,329 @@ + +Accumulated error estimation test (stiff Brusselator ODE problem): + time domain: (0,10] + partition size = 20 + initial conditions: u0 = 1.2, v0 = 3.1, w0 = 3 + problem parameters: a = 1, b = 3.5, ep = 0.0004 + DIRK solver, order = 4 + +Fixed-step runs: + h 0.025 rk_type 0 order 4 acc 1 t 0.5 dsm 2.02741e-07 dsm_est 0.244873 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 1 dsm 4.36512e-10 dsm_est 9.15797e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 1.5 dsm 1.47944e-09 dsm_est 1.03904e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 2 dsm 3.07014e-09 dsm_est 7.16968e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 2.5 dsm 2.41009e-09 dsm_est 9.26427e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 3 dsm 2.2919e-10 dsm_est 1.68058e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 3.5 dsm 2.10843e-11 dsm_est 1.6358e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 4 dsm 4.85414e-11 dsm_est 8.11006e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 4.5 dsm 1.96723e-10 dsm_est 1.90108e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 5 dsm 8.22132e-10 dsm_est 5.32797e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 5.5 dsm 1.54757e-09 dsm_est 9.55312e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 6 dsm 1.4066e-09 dsm_est 5.43427e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 6.5 dsm 1.53642e-07 dsm_est 8.50911e-07 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 7 dsm 4.94724e-06 dsm_est 0.000100467 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 7.5 dsm 4.18294e-08 dsm_est 1.0711e-05 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 8 dsm 1.04878e-08 dsm_est 1.1263e-07 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 8.5 dsm 2.79702e-09 dsm_est 2.16903e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 9 dsm 1.60168e-09 dsm_est 1.38178e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 9.5 dsm 1.4347e-09 dsm_est 1.88007e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 1 t 10 dsm 5.54538e-10 dsm_est 1.51522e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 0.5 dsm 2.02741e-07 dsm_est 0.270414 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 1 dsm 4.36512e-10 dsm_est 1.01676e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 1.5 dsm 1.47944e-09 dsm_est 1.91745e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 2 dsm 3.07014e-09 dsm_est 7.81488e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 2.5 dsm 2.41009e-09 dsm_est 7.35801e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 3 dsm 2.2919e-10 dsm_est 2.95688e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 3.5 dsm 2.10843e-11 dsm_est 2.56198e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 4 dsm 4.85414e-11 dsm_est 9.1097e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 4.5 dsm 1.96723e-10 dsm_est 1.8883e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 5 dsm 8.22132e-10 dsm_est 7.19339e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 5.5 dsm 1.54757e-09 dsm_est 1.54279e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 6 dsm 1.4066e-09 dsm_est 2.77932e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 6.5 dsm 1.53642e-07 dsm_est 3.43927e-06 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 7 dsm 4.94724e-06 dsm_est 0.000536526 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 7.5 dsm 4.18294e-08 dsm_est 2.81303e-05 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 8 dsm 1.04878e-08 dsm_est 1.09073e-06 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 8.5 dsm 2.79702e-09 dsm_est 2.81903e-07 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 9 dsm 1.60168e-09 dsm_est 1.22752e-07 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 9.5 dsm 1.4347e-09 dsm_est 3.48997e-07 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 10 dsm 5.54538e-10 dsm_est 1.97881e-07 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 0.5 dsm 2.02741e-07 dsm_est 0.0135207 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 1 dsm 4.36512e-10 dsm_est 5.08381e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 1.5 dsm 1.47944e-09 dsm_est 9.58723e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 2 dsm 3.07014e-09 dsm_est 3.90744e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 2.5 dsm 2.41009e-09 dsm_est 3.67901e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 3 dsm 2.2919e-10 dsm_est 1.47844e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 3.5 dsm 2.10843e-11 dsm_est 1.28099e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 4 dsm 4.85414e-11 dsm_est 4.55485e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 4.5 dsm 1.96723e-10 dsm_est 9.4415e-11 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 5 dsm 8.22132e-10 dsm_est 3.5967e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 5.5 dsm 1.54757e-09 dsm_est 7.71393e-10 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 6 dsm 1.4066e-09 dsm_est 1.38966e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 6.5 dsm 1.53642e-07 dsm_est 1.71964e-07 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 7 dsm 4.94724e-06 dsm_est 2.68263e-05 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 7.5 dsm 4.18294e-08 dsm_est 1.40652e-06 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 8 dsm 1.04878e-08 dsm_est 5.45367e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 8.5 dsm 2.79702e-09 dsm_est 1.40952e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 9 dsm 1.60168e-09 dsm_est 6.13761e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 9.5 dsm 1.4347e-09 dsm_est 1.74499e-08 nsteps 20 + h 0.025 rk_type 0 order 4 acc 3 t 10 dsm 5.54538e-10 dsm_est 9.89407e-09 nsteps 20 + h 0.025 rk_type 0 order 4 acc 2 t 0.5 dsm 2.02741e-07 dsm_est 2.04151e-07 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 1 dsm 4.36512e-10 dsm_est 1.51075e-09 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 1.5 dsm 1.47944e-09 dsm_est 1.30553e-09 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 2 dsm 3.07014e-09 dsm_est 6.93616e-10 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 2.5 dsm 2.41009e-09 dsm_est 3.64938e-09 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 3 dsm 2.2919e-10 dsm_est 1.30625e-09 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 3.5 dsm 2.10843e-11 dsm_est 3.14425e-10 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 4 dsm 4.85414e-11 dsm_est 7.33721e-10 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 4.5 dsm 1.96723e-10 dsm_est 6.03307e-11 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 5 dsm 8.22132e-10 dsm_est 6.73954e-10 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 5.5 dsm 1.54757e-09 dsm_est 2.31912e-10 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 6 dsm 1.4066e-09 dsm_est 2.44839e-08 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 6.5 dsm 1.53642e-07 dsm_est 2.36231e-06 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 7 dsm 4.94724e-06 dsm_est 8.33486e-05 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 7.5 dsm 4.18294e-08 dsm_est 5.85759e-07 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 8 dsm 1.04878e-08 dsm_est 1.52644e-07 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 8.5 dsm 2.79702e-09 dsm_est 5.7594e-08 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 9 dsm 1.60168e-09 dsm_est 3.77187e-08 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 9.5 dsm 1.4347e-09 dsm_est 2.25916e-09 nsteps 30 + h 0.025 rk_type 0 order 4 acc 2 t 10 dsm 5.54538e-10 dsm_est 8.39636e-09 nsteps 30 + h 0.00625 rk_type 0 order 4 acc 1 t 0.5 dsm 2.01526e-08 dsm_est 0.12061 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 1 dsm 9.02564e-12 dsm_est 3.15224e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 1.5 dsm 6.18719e-12 dsm_est 1.15612e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 2 dsm 1.21264e-11 dsm_est 3.56333e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 2.5 dsm 9.39437e-12 dsm_est 3.71652e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 3 dsm 6.39567e-12 dsm_est 6.60675e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 3.5 dsm 4.31321e-12 dsm_est 1.02486e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 4 dsm 5.26346e-12 dsm_est 6.34128e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 4.5 dsm 3.00982e-11 dsm_est 6.6337e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 5 dsm 3.35644e-12 dsm_est 3.78322e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 5.5 dsm 1.37915e-11 dsm_est 3.71144e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 6 dsm 9.91766e-11 dsm_est 2.23847e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 6.5 dsm 3.01672e-09 dsm_est 3.42521e-09 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 7 dsm 1.77811e-08 dsm_est 4.60341e-07 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 7.5 dsm 7.42418e-10 dsm_est 6.0223e-08 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 8 dsm 3.89202e-10 dsm_est 4.90508e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 8.5 dsm 3.7018e-11 dsm_est 2.41013e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 9 dsm 2.94415e-11 dsm_est 5.60347e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 9.5 dsm 1.42778e-11 dsm_est 7.48066e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 1 t 10 dsm 4.93463e-12 dsm_est 6.33468e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 0.5 dsm 2.01526e-08 dsm_est 0.141954 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 1 dsm 9.02564e-12 dsm_est 1.9256e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 1.5 dsm 6.18719e-12 dsm_est 3.09827e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 2 dsm 1.21264e-11 dsm_est 1.26799e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 2.5 dsm 9.39437e-12 dsm_est 1.15943e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 3 dsm 6.39567e-12 dsm_est 4.63554e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 3.5 dsm 4.31321e-12 dsm_est 4.07949e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 4 dsm 5.26346e-12 dsm_est 1.47561e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 4.5 dsm 3.00982e-11 dsm_est 3.61156e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 5 dsm 3.35644e-12 dsm_est 1.54366e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 5.5 dsm 1.37915e-11 dsm_est 2.39536e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 6 dsm 9.91766e-11 dsm_est 4.28866e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 6.5 dsm 3.01672e-09 dsm_est 5.01151e-08 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 7 dsm 1.77811e-08 dsm_est 9.3156e-06 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 7.5 dsm 7.42418e-10 dsm_est 5.06067e-07 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 8 dsm 3.89202e-10 dsm_est 1.79275e-08 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 8.5 dsm 3.7018e-11 dsm_est 4.65518e-09 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 9 dsm 2.94415e-11 dsm_est 1.94773e-09 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 9.5 dsm 1.42778e-11 dsm_est 5.55728e-09 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 10 dsm 4.93463e-12 dsm_est 3.15451e-09 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 0.5 dsm 2.01526e-08 dsm_est 0.00177442 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 1 dsm 9.02564e-12 dsm_est 2.40701e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 1.5 dsm 6.18719e-12 dsm_est 3.87284e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 2 dsm 1.21264e-11 dsm_est 1.58498e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 2.5 dsm 9.39437e-12 dsm_est 1.44929e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 3 dsm 6.39567e-12 dsm_est 5.79442e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 3.5 dsm 4.31321e-12 dsm_est 5.09937e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 4 dsm 5.26346e-12 dsm_est 1.84452e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 4.5 dsm 3.00982e-11 dsm_est 4.51445e-13 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 5 dsm 3.35644e-12 dsm_est 1.92957e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 5.5 dsm 1.37915e-11 dsm_est 2.9942e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 6 dsm 9.91766e-11 dsm_est 5.36083e-12 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 6.5 dsm 3.01672e-09 dsm_est 6.26439e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 7 dsm 1.77811e-08 dsm_est 1.16445e-07 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 7.5 dsm 7.42418e-10 dsm_est 6.32584e-09 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 8 dsm 3.89202e-10 dsm_est 2.24093e-10 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 8.5 dsm 3.7018e-11 dsm_est 5.81897e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 9 dsm 2.94415e-11 dsm_est 2.43467e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 9.5 dsm 1.42778e-11 dsm_est 6.94659e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 3 t 10 dsm 4.93463e-12 dsm_est 3.94313e-11 nsteps 80 + h 0.00625 rk_type 0 order 4 acc 2 t 0.5 dsm 2.01526e-08 dsm_est 5.96471e-08 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 1 dsm 9.02564e-12 dsm_est 2.62428e-11 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 1.5 dsm 6.18719e-12 dsm_est 8.82608e-11 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 2 dsm 1.21264e-11 dsm_est 1.81216e-10 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 2.5 dsm 9.39437e-12 dsm_est 1.39896e-10 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 3 dsm 6.39567e-12 dsm_est 1.30298e-11 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 3.5 dsm 4.31321e-12 dsm_est 1.17983e-12 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 4 dsm 5.26346e-12 dsm_est 2.82746e-12 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 4.5 dsm 3.00982e-11 dsm_est 1.13213e-11 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 5 dsm 3.35644e-12 dsm_est 4.77357e-11 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 5.5 dsm 1.37915e-11 dsm_est 1.78455e-10 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 6 dsm 9.91766e-11 dsm_est 1.16563e-09 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 6.5 dsm 3.01672e-09 dsm_est 1.01849e-08 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 7 dsm 1.77811e-08 dsm_est 2.72392e-07 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 7.5 dsm 7.42418e-10 dsm_est 3.28703e-09 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 8 dsm 3.89202e-10 dsm_est 2.22651e-09 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 8.5 dsm 3.7018e-11 dsm_est 5.88999e-10 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 9 dsm 2.94415e-11 dsm_est 2.41758e-10 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 9.5 dsm 1.42778e-11 dsm_est 9.06696e-11 nsteps 120 + h 0.00625 rk_type 0 order 4 acc 2 t 10 dsm 4.93463e-12 dsm_est 3.23538e-11 nsteps 120 + h 0.0015625 rk_type 0 order 4 acc 1 t 0.5 dsm 1.12995e-09 dsm_est 0.0161685 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 1 dsm 8.83314e-12 dsm_est 4.22807e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 1.5 dsm 1.84069e-12 dsm_est 1.48779e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 2 dsm 2.23198e-13 dsm_est 3.06e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 2.5 dsm 5.57615e-13 dsm_est 3.16293e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 3 dsm 6.33215e-12 dsm_est 9.28211e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 3.5 dsm 4.31345e-12 dsm_est 1.06725e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 4 dsm 5.25911e-12 dsm_est 7.27486e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 4.5 dsm 3.00873e-11 dsm_est 8.86785e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 5 dsm 1.04948e-12 dsm_est 5.07072e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 5.5 dsm 6.97828e-12 dsm_est 1.75823e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 6 dsm 5.98205e-11 dsm_est 1.17286e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 6.5 dsm 1.87435e-11 dsm_est 1.34855e-11 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 7 dsm 6.39659e-10 dsm_est 1.86951e-09 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 7.5 dsm 1.83962e-11 dsm_est 2.58837e-10 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 8 dsm 1.77418e-10 dsm_est 3.6664e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 8.5 dsm 2.78724e-12 dsm_est 2.99588e-11 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 9 dsm 2.4955e-11 dsm_est 5.0593e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 9.5 dsm 1.29649e-11 dsm_est 4.22112e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 1 t 10 dsm 4.44459e-12 dsm_est 2.19913e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 0.5 dsm 1.12995e-09 dsm_est 0.0169353 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 1 dsm 8.83314e-12 dsm_est 6.94907e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 1.5 dsm 1.84069e-12 dsm_est 6.39115e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 2 dsm 2.23198e-13 dsm_est 2.81498e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 2.5 dsm 5.57615e-13 dsm_est 2.25223e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 3 dsm 6.33215e-12 dsm_est 7.33588e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 3.5 dsm 4.31345e-12 dsm_est 7.40715e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 4 dsm 5.25911e-12 dsm_est 3.01034e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 4.5 dsm 3.00873e-11 dsm_est 1.41635e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 5 dsm 1.04948e-12 dsm_est 7.0874e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 5.5 dsm 6.97828e-12 dsm_est 3.92895e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 6 dsm 5.98205e-11 dsm_est 8.03594e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 6.5 dsm 1.87435e-11 dsm_est 7.78898e-10 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 7 dsm 6.39659e-10 dsm_est 1.4936e-07 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 7.5 dsm 1.83962e-11 dsm_est 8.20268e-09 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 8 dsm 1.77418e-10 dsm_est 2.85684e-10 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 8.5 dsm 2.78724e-12 dsm_est 1.0185e-10 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 9 dsm 2.4955e-11 dsm_est 3.17765e-11 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 9.5 dsm 1.29649e-11 dsm_est 9.11804e-11 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 10 dsm 4.44459e-12 dsm_est 5.14784e-11 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 0.5 dsm 1.12995e-09 dsm_est 5.29229e-05 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 1 dsm 8.83314e-12 dsm_est 2.17158e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 1.5 dsm 1.84069e-12 dsm_est 1.99723e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 2 dsm 2.23198e-13 dsm_est 8.79682e-15 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 2.5 dsm 5.57615e-13 dsm_est 7.03822e-15 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 3 dsm 6.33215e-12 dsm_est 2.29246e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 3.5 dsm 4.31345e-12 dsm_est 2.31473e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 4 dsm 5.25911e-12 dsm_est 9.40731e-15 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 4.5 dsm 3.00873e-11 dsm_est 4.42611e-15 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 5 dsm 1.04948e-12 dsm_est 2.21481e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 5.5 dsm 6.97828e-12 dsm_est 1.2278e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 6 dsm 5.98205e-11 dsm_est 2.51123e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 6.5 dsm 1.87435e-11 dsm_est 2.43406e-12 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 7 dsm 6.39659e-10 dsm_est 4.6675e-10 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 7.5 dsm 1.83962e-11 dsm_est 2.56334e-11 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 8 dsm 1.77418e-10 dsm_est 8.92764e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 8.5 dsm 2.78724e-12 dsm_est 3.18282e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 9 dsm 2.4955e-11 dsm_est 9.93014e-14 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 9.5 dsm 1.29649e-11 dsm_est 2.84939e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 3 t 10 dsm 4.44459e-12 dsm_est 1.6087e-13 nsteps 320 + h 0.0015625 rk_type 0 order 4 acc 2 t 0.5 dsm 1.12995e-09 dsm_est 2.29243e-09 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 1 dsm 8.83314e-12 dsm_est 1.01708e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 1.5 dsm 1.84069e-12 dsm_est 3.46845e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 2 dsm 2.23198e-13 dsm_est 7.13223e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 2.5 dsm 5.57615e-13 dsm_est 5.5096e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 3 dsm 6.33215e-12 dsm_est 5.10951e-14 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 3.5 dsm 4.31345e-12 dsm_est 4.40878e-15 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 4 dsm 5.25911e-12 dsm_est 1.13938e-14 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 4.5 dsm 3.00873e-11 dsm_est 3.76833e-14 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 5 dsm 1.04948e-12 dsm_est 1.75165e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 5.5 dsm 6.97828e-12 dsm_est 6.76285e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 6 dsm 5.98205e-11 dsm_est 4.58434e-12 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 6.5 dsm 1.87435e-11 dsm_est 1.80355e-10 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 7 dsm 6.39659e-10 dsm_est 7.2409e-10 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 7.5 dsm 1.83962e-11 dsm_est 3.9885e-11 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 8 dsm 1.77418e-10 dsm_est 1.97323e-11 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 8.5 dsm 2.78724e-12 dsm_est 2.15597e-12 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 9 dsm 2.4955e-11 dsm_est 9.29203e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 9.5 dsm 1.29649e-11 dsm_est 3.52852e-13 nsteps 480 + h 0.0015625 rk_type 0 order 4 acc 2 t 10 dsm 4.44459e-12 dsm_est 1.2586e-13 nsteps 480 + h 0.000390625 rk_type 0 order 4 acc 1 t 0.5 dsm 4.75504e-11 dsm_est 0.000360159 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 1 dsm 8.83253e-12 dsm_est 9.41667e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 1.5 dsm 1.8399e-12 dsm_est 3.31853e-14 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 1 t 2 dsm 2.21232e-13 dsm_est 6.92196e-15 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 1 t 2.5 dsm 5.57029e-13 dsm_est 7.49969e-16 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 1 t 3 dsm 6.33194e-12 dsm_est 2.00962e-15 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 1 t 3.5 dsm 4.31407e-12 dsm_est 2.37702e-14 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 1 t 4 dsm 5.25853e-12 dsm_est 1.62111e-14 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 1 t 4.5 dsm 3.00881e-11 dsm_est 1.97207e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 5 dsm 1.04964e-12 dsm_est 1.12957e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 5.5 dsm 6.97849e-12 dsm_est 3.92461e-15 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 6 dsm 5.9817e-11 dsm_est 2.61272e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 6.5 dsm 1.43381e-11 dsm_est 2.24496e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 7 dsm 2.94602e-12 dsm_est 7.37178e-12 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 7.5 dsm 1.82124e-11 dsm_est 1.0358e-12 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 8 dsm 1.77421e-10 dsm_est 6.91895e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 8.5 dsm 2.81466e-12 dsm_est 6.67292e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 9 dsm 2.496e-11 dsm_est 1.06333e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 9.5 dsm 1.2967e-11 dsm_est 9.36985e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 1 t 10 dsm 4.44606e-12 dsm_est 4.86957e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 0.5 dsm 4.75504e-11 dsm_est 0.000554502 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 1 dsm 8.83253e-12 dsm_est 2.11629e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 1.5 dsm 1.8399e-12 dsm_est 1.46902e-13 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 2 t 2 dsm 2.21232e-13 dsm_est 8.08167e-14 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 2 t 2.5 dsm 5.57029e-13 dsm_est 6.12168e-14 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 2 t 3 dsm 6.33194e-12 dsm_est 1.25998e-13 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 2 t 3.5 dsm 4.31407e-12 dsm_est 1.46827e-13 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 2 t 4 dsm 5.25853e-12 dsm_est 8.29578e-14 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 2 t 4.5 dsm 3.00881e-11 dsm_est 7.37135e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 5 dsm 1.04964e-12 dsm_est 2.31694e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 5.5 dsm 6.97849e-12 dsm_est 8.07729e-14 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 6 dsm 5.9817e-11 dsm_est 1.6949e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 6.5 dsm 1.43381e-11 dsm_est 1.23339e-11 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 7 dsm 2.94602e-12 dsm_est 2.35276e-09 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 7.5 dsm 1.82124e-11 dsm_est 1.29354e-10 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 8 dsm 1.77421e-10 dsm_est 4.5438e-12 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 8.5 dsm 2.81466e-12 dsm_est 2.19649e-12 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 9 dsm 2.496e-11 dsm_est 5.49027e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 9.5 dsm 1.2967e-11 dsm_est 1.50929e-12 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 10 dsm 4.44606e-12 dsm_est 8.49403e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 0.5 dsm 4.75504e-11 dsm_est 4.33205e-07 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 1 dsm 8.83253e-12 dsm_est 1.65335e-16 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 1.5 dsm 1.8399e-12 dsm_est 1.14767e-16 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 3 t 2 dsm 2.21232e-13 dsm_est 6.3138e-17 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 3 t 2.5 dsm 5.57029e-13 dsm_est 4.78256e-17 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 3 t 3 dsm 6.33194e-12 dsm_est 9.84357e-17 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 3 t 3.5 dsm 4.31407e-12 dsm_est 1.14709e-16 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 3 t 4 dsm 5.25853e-12 dsm_est 6.48108e-17 nsteps 1280 + h 0.000390625 rk_type 0 order 4 acc 3 t 4.5 dsm 3.00881e-11 dsm_est 5.75886e-17 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 5 dsm 1.04964e-12 dsm_est 1.81011e-16 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 5.5 dsm 6.97849e-12 dsm_est 6.31038e-17 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 6 dsm 5.9817e-11 dsm_est 1.32414e-16 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 6.5 dsm 1.43381e-11 dsm_est 9.63583e-15 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 7 dsm 2.94602e-12 dsm_est 1.8381e-12 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 7.5 dsm 1.82124e-11 dsm_est 1.01058e-13 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 8 dsm 1.77421e-10 dsm_est 3.54984e-15 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 8.5 dsm 2.81466e-12 dsm_est 1.71601e-15 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 9 dsm 2.496e-11 dsm_est 4.28927e-16 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 9.5 dsm 1.2967e-11 dsm_est 1.17913e-15 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 3 t 10 dsm 4.44606e-12 dsm_est 6.63596e-16 nsteps 1281 + h 0.000390625 rk_type 0 order 4 acc 2 t 0.5 dsm 4.75504e-11 dsm_est 2.63435e-10 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 1 dsm 8.83253e-12 dsm_est 2.03794e-15 nsteps 1922 + h 0.000390625 rk_type 0 order 4 acc 2 t 1.5 dsm 1.8399e-12 dsm_est 3.00814e-14 nsteps 1920 + h 0.000390625 rk_type 0 order 4 acc 2 t 2 dsm 2.21232e-13 dsm_est 4.15128e-14 nsteps 1920 + h 0.000390625 rk_type 0 order 4 acc 2 t 2.5 dsm 5.57029e-13 dsm_est 1.58845e-15 nsteps 1920 + h 0.000390625 rk_type 0 order 4 acc 2 t 3 dsm 6.33194e-12 dsm_est 5.52712e-16 nsteps 1920 + h 0.000390625 rk_type 0 order 4 acc 2 t 3.5 dsm 4.31407e-12 dsm_est 1.6025e-15 nsteps 1920 + h 0.000390625 rk_type 0 order 4 acc 2 t 4 dsm 5.25853e-12 dsm_est 9.59599e-16 nsteps 1920 + h 0.000390625 rk_type 0 order 4 acc 2 t 4.5 dsm 3.00881e-11 dsm_est 5.29038e-14 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 5 dsm 1.04964e-12 dsm_est 7.31539e-14 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 5.5 dsm 6.97849e-12 dsm_est 1.08618e-13 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 6 dsm 5.9817e-11 dsm_est 2.24477e-13 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 6.5 dsm 1.43381e-11 dsm_est 1.46745e-12 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 7 dsm 2.94602e-12 dsm_est 3.70208e-11 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 7.5 dsm 1.82124e-11 dsm_est 5.47248e-13 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 8 dsm 1.77421e-10 dsm_est 4.99362e-13 nsteps 1921 + h 0.000390625 rk_type 0 order 4 acc 2 t 8.5 dsm 2.81466e-12 dsm_est 6.74349e-15 nsteps 1922 + h 0.000390625 rk_type 0 order 4 acc 2 t 9 dsm 2.496e-11 dsm_est 1.91764e-15 nsteps 1922 + h 0.000390625 rk_type 0 order 4 acc 2 t 9.5 dsm 1.2967e-11 dsm_est 1.53261e-15 nsteps 1922 + h 0.000390625 rk_type 0 order 4 acc 2 t 10 dsm 4.44606e-12 dsm_est 7.50123e-16 nsteps 1922 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_3_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_3_1.out new file mode 100644 index 0000000..8e2a11d --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_3_1.out @@ -0,0 +1,189 @@ + +Accumulated error estimation test (stiff Brusselator ODE problem): + time domain: (0,10] + partition size = 20 + initial conditions: u0 = 1.2, v0 = 3.1, w0 = 3 + problem parameters: a = 1, b = 3.5, ep = 0.0004 + ERK solver, order = 3 + +Adaptive-step runs: + rtol 0.01 rk_type 1 order 3 acc 1 t 0.5 dsm 0.00199866 dsm_est 0.00993779 nsteps 492 + rtol 0.01 rk_type 1 order 3 acc 1 t 1 dsm 0.00148824 dsm_est 0.00998004 nsteps 473 + rtol 0.01 rk_type 1 order 3 acc 1 t 1.5 dsm 0.00330184 dsm_est 0.00995476 nsteps 459 + rtol 0.01 rk_type 1 order 3 acc 1 t 2 dsm 0.000346469 dsm_est 0.00994631 nsteps 450 + rtol 0.01 rk_type 1 order 3 acc 1 t 2.5 dsm 0.0103541 dsm_est 0.00997759 nsteps 430 + rtol 0.01 rk_type 1 order 3 acc 1 t 3 dsm 0.0108871 dsm_est 0.00988341 nsteps 447 + rtol 0.01 rk_type 1 order 3 acc 1 t 3.5 dsm 0.00245302 dsm_est 0.00996656 nsteps 465 + rtol 0.01 rk_type 1 order 3 acc 1 t 4 dsm 0.00613073 dsm_est 0.00995474 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 1 t 4.5 dsm 0.00368671 dsm_est 0.00994184 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 1 t 5 dsm 0.000382639 dsm_est 0.0099621 nsteps 466 + rtol 0.01 rk_type 1 order 3 acc 1 t 5.5 dsm 0.00138001 dsm_est 0.00996202 nsteps 443 + rtol 0.01 rk_type 1 order 3 acc 1 t 6 dsm 0.00204504 dsm_est 0.00995126 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 1 t 6.5 dsm 0.00544154 dsm_est 0.00991159 nsteps 465 + rtol 0.01 rk_type 1 order 3 acc 1 t 7 dsm 0.00167909 dsm_est 0.00996267 nsteps 459 + rtol 0.01 rk_type 1 order 3 acc 1 t 7.5 dsm 0.00762228 dsm_est 0.0099702 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 1 t 8 dsm 0.00815849 dsm_est 0.00996685 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 1 t 8.5 dsm 0.00479833 dsm_est 0.00996162 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 1 t 9 dsm 0.00530688 dsm_est 0.00991151 nsteps 460 + rtol 0.01 rk_type 1 order 3 acc 1 t 9.5 dsm 0.00453492 dsm_est 0.00996905 nsteps 461 + rtol 0.01 rk_type 1 order 3 acc 1 t 10 dsm 0.000530102 dsm_est 0.00998737 nsteps 461 + rtol 0.01 rk_type 1 order 3 acc 2 t 0.5 dsm 0.00199866 dsm_est 2.09808 nsteps 492 + rtol 0.01 rk_type 1 order 3 acc 2 t 1 dsm 0.00148824 dsm_est 1.89996 nsteps 473 + rtol 0.01 rk_type 1 order 3 acc 2 t 1.5 dsm 0.00330184 dsm_est 1.97327 nsteps 459 + rtol 0.01 rk_type 1 order 3 acc 2 t 2 dsm 0.000346469 dsm_est 1.9 nsteps 450 + rtol 0.01 rk_type 1 order 3 acc 2 t 2.5 dsm 0.0103541 dsm_est 1.68792 nsteps 430 + rtol 0.01 rk_type 1 order 3 acc 2 t 3 dsm 0.0108871 dsm_est 1.87188 nsteps 447 + rtol 0.01 rk_type 1 order 3 acc 2 t 3.5 dsm 0.00245302 dsm_est 1.9467 nsteps 465 + rtol 0.01 rk_type 1 order 3 acc 2 t 4 dsm 0.00613073 dsm_est 1.9405 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 2 t 4.5 dsm 0.00368671 dsm_est 1.94315 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 2 t 5 dsm 0.000382639 dsm_est 1.83475 nsteps 466 + rtol 0.01 rk_type 1 order 3 acc 2 t 5.5 dsm 0.00138001 dsm_est 1.86654 nsteps 443 + rtol 0.01 rk_type 1 order 3 acc 2 t 6 dsm 0.00204504 dsm_est 1.9419 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 2 t 6.5 dsm 0.00544154 dsm_est 1.96228 nsteps 465 + rtol 0.01 rk_type 1 order 3 acc 2 t 7 dsm 0.00167909 dsm_est 1.90643 nsteps 459 + rtol 0.01 rk_type 1 order 3 acc 2 t 7.5 dsm 0.00762228 dsm_est 1.79247 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 2 t 8 dsm 0.00815849 dsm_est 1.84371 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 2 t 8.5 dsm 0.00479833 dsm_est 1.97902 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 2 t 9 dsm 0.00530688 dsm_est 1.94856 nsteps 460 + rtol 0.01 rk_type 1 order 3 acc 2 t 9.5 dsm 0.00453492 dsm_est 1.91705 nsteps 461 + rtol 0.01 rk_type 1 order 3 acc 2 t 10 dsm 0.000530102 dsm_est 1.91042 nsteps 461 + rtol 0.01 rk_type 1 order 3 acc 3 t 0.5 dsm 0.00199866 dsm_est 0.00443873 nsteps 492 + rtol 0.01 rk_type 1 order 3 acc 3 t 1 dsm 0.00148824 dsm_est 0.00401521 nsteps 473 + rtol 0.01 rk_type 1 order 3 acc 3 t 1.5 dsm 0.00330184 dsm_est 0.00441678 nsteps 459 + rtol 0.01 rk_type 1 order 3 acc 3 t 2 dsm 0.000346469 dsm_est 0.00425191 nsteps 450 + rtol 0.01 rk_type 1 order 3 acc 3 t 2.5 dsm 0.0103541 dsm_est 0.00381705 nsteps 430 + rtol 0.01 rk_type 1 order 3 acc 3 t 3 dsm 0.0108871 dsm_est 0.0041182 nsteps 447 + rtol 0.01 rk_type 1 order 3 acc 3 t 3.5 dsm 0.00245302 dsm_est 0.00412426 nsteps 465 + rtol 0.01 rk_type 1 order 3 acc 3 t 4 dsm 0.00613073 dsm_est 0.00411939 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 3 t 4.5 dsm 0.00368671 dsm_est 0.00412003 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 3 t 5 dsm 0.000382639 dsm_est 0.00388215 nsteps 466 + rtol 0.01 rk_type 1 order 3 acc 3 t 5.5 dsm 0.00138001 dsm_est 0.00418117 nsteps 443 + rtol 0.01 rk_type 1 order 3 acc 3 t 6 dsm 0.00204504 dsm_est 0.00411411 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 3 t 6.5 dsm 0.00544154 dsm_est 0.00415099 nsteps 465 + rtol 0.01 rk_type 1 order 3 acc 3 t 7 dsm 0.00167909 dsm_est 0.00420804 nsteps 459 + rtol 0.01 rk_type 1 order 3 acc 3 t 7.5 dsm 0.00762228 dsm_est 0.00381522 nsteps 464 + rtol 0.01 rk_type 1 order 3 acc 3 t 8 dsm 0.00815849 dsm_est 0.00390452 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 3 t 8.5 dsm 0.00479833 dsm_est 0.0042077 nsteps 463 + rtol 0.01 rk_type 1 order 3 acc 3 t 9 dsm 0.00530688 dsm_est 0.00413179 nsteps 460 + rtol 0.01 rk_type 1 order 3 acc 3 t 9.5 dsm 0.00453492 dsm_est 0.00406231 nsteps 461 + rtol 0.01 rk_type 1 order 3 acc 3 t 10 dsm 0.000530102 dsm_est 0.00404373 nsteps 461 + rtol 0.0001 rk_type 1 order 3 acc 1 t 0.5 dsm 4.52215e-05 dsm_est 9.69104e-05 nsteps 501 + rtol 0.0001 rk_type 1 order 3 acc 1 t 1 dsm 1.81631e-05 dsm_est 9.49781e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 1 t 1.5 dsm 2.77186e-05 dsm_est 9.49662e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 1 t 2 dsm 1.52803e-05 dsm_est 9.4909e-05 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 1 t 2.5 dsm 4.78098e-05 dsm_est 9.49489e-05 nsteps 464 + rtol 0.0001 rk_type 1 order 3 acc 1 t 3 dsm 2.25476e-05 dsm_est 9.47509e-05 nsteps 465 + rtol 0.0001 rk_type 1 order 3 acc 1 t 3.5 dsm 5.07755e-05 dsm_est 9.47129e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 1 t 4 dsm 2.29469e-05 dsm_est 9.49709e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 1 t 4.5 dsm 3.88359e-05 dsm_est 9.46293e-05 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 1 t 5 dsm 1.51443e-05 dsm_est 9.49444e-05 nsteps 469 + rtol 0.0001 rk_type 1 order 3 acc 1 t 5.5 dsm 1.12906e-05 dsm_est 9.45516e-05 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 1 t 6 dsm 2.05734e-05 dsm_est 9.49206e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 1 t 6.5 dsm 2.51686e-05 dsm_est 9.49703e-05 nsteps 481 + rtol 0.0001 rk_type 1 order 3 acc 1 t 7 dsm 6.45125e-05 dsm_est 9.93155e-05 nsteps 481 + rtol 0.0001 rk_type 1 order 3 acc 1 t 7.5 dsm 6.30239e-05 dsm_est 9.4983e-05 nsteps 475 + rtol 0.0001 rk_type 1 order 3 acc 1 t 8 dsm 2.85855e-05 dsm_est 9.44898e-05 nsteps 478 + rtol 0.0001 rk_type 1 order 3 acc 1 t 8.5 dsm 4.15619e-05 dsm_est 9.47874e-05 nsteps 480 + rtol 0.0001 rk_type 1 order 3 acc 1 t 9 dsm 9.3894e-06 dsm_est 9.91602e-05 nsteps 475 + rtol 0.0001 rk_type 1 order 3 acc 1 t 9.5 dsm 1.95141e-05 dsm_est 9.49246e-05 nsteps 482 + rtol 0.0001 rk_type 1 order 3 acc 1 t 10 dsm 2.83938e-05 dsm_est 9.5044e-05 nsteps 479 + rtol 0.0001 rk_type 1 order 3 acc 2 t 0.5 dsm 4.52215e-05 dsm_est 0.0204462 nsteps 501 + rtol 0.0001 rk_type 1 order 3 acc 2 t 1 dsm 1.81631e-05 dsm_est 0.0195291 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 2 t 1.5 dsm 2.77186e-05 dsm_est 0.018621 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 2 t 2 dsm 1.52803e-05 dsm_est 0.0193526 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 2 t 2.5 dsm 4.78098e-05 dsm_est 0.0188743 nsteps 464 + rtol 0.0001 rk_type 1 order 3 acc 2 t 3 dsm 2.25476e-05 dsm_est 0.0188411 nsteps 465 + rtol 0.0001 rk_type 1 order 3 acc 2 t 3.5 dsm 5.07755e-05 dsm_est 0.0186928 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 2 t 4 dsm 2.29469e-05 dsm_est 0.0192501 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 2 t 4.5 dsm 3.88359e-05 dsm_est 0.0190057 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 2 t 5 dsm 1.51443e-05 dsm_est 0.0192704 nsteps 469 + rtol 0.0001 rk_type 1 order 3 acc 2 t 5.5 dsm 1.12906e-05 dsm_est 0.0189727 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 2 t 6 dsm 2.05734e-05 dsm_est 0.0185915 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 2 t 6.5 dsm 2.51686e-05 dsm_est 0.0195025 nsteps 481 + rtol 0.0001 rk_type 1 order 3 acc 2 t 7 dsm 6.45125e-05 dsm_est 0.019722 nsteps 481 + rtol 0.0001 rk_type 1 order 3 acc 2 t 7.5 dsm 6.30239e-05 dsm_est 0.0180237 nsteps 475 + rtol 0.0001 rk_type 1 order 3 acc 2 t 8 dsm 2.85855e-05 dsm_est 0.019557 nsteps 478 + rtol 0.0001 rk_type 1 order 3 acc 2 t 8.5 dsm 4.15619e-05 dsm_est 0.0195763 nsteps 480 + rtol 0.0001 rk_type 1 order 3 acc 2 t 9 dsm 9.3894e-06 dsm_est 0.0195109 nsteps 475 + rtol 0.0001 rk_type 1 order 3 acc 2 t 9.5 dsm 1.95141e-05 dsm_est 0.0192328 nsteps 482 + rtol 0.0001 rk_type 1 order 3 acc 2 t 10 dsm 2.83938e-05 dsm_est 0.0195692 nsteps 479 + rtol 0.0001 rk_type 1 order 3 acc 3 t 0.5 dsm 4.52215e-05 dsm_est 4.27945e-05 nsteps 501 + rtol 0.0001 rk_type 1 order 3 acc 3 t 1 dsm 1.81631e-05 dsm_est 4.18953e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 3 t 1.5 dsm 2.77186e-05 dsm_est 4.01946e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 3 t 2 dsm 1.52803e-05 dsm_est 4.11232e-05 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 3 t 2.5 dsm 4.78098e-05 dsm_est 4.02797e-05 nsteps 464 + rtol 0.0001 rk_type 1 order 3 acc 3 t 3 dsm 2.25476e-05 dsm_est 4.21717e-05 nsteps 465 + rtol 0.0001 rk_type 1 order 3 acc 3 t 3.5 dsm 5.07755e-05 dsm_est 4.02733e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 3 t 4 dsm 2.29469e-05 dsm_est 4.06438e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 3 t 4.5 dsm 3.88359e-05 dsm_est 4.00905e-05 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 3 t 5 dsm 1.51443e-05 dsm_est 4.10729e-05 nsteps 469 + rtol 0.0001 rk_type 1 order 3 acc 3 t 5.5 dsm 1.12906e-05 dsm_est 4.00276e-05 nsteps 470 + rtol 0.0001 rk_type 1 order 3 acc 3 t 6 dsm 2.05734e-05 dsm_est 4.01607e-05 nsteps 474 + rtol 0.0001 rk_type 1 order 3 acc 3 t 6.5 dsm 2.51686e-05 dsm_est 4.12268e-05 nsteps 481 + rtol 0.0001 rk_type 1 order 3 acc 3 t 7 dsm 6.45125e-05 dsm_est 4.17595e-05 nsteps 481 + rtol 0.0001 rk_type 1 order 3 acc 3 t 7.5 dsm 6.30239e-05 dsm_est 3.85507e-05 nsteps 475 + rtol 0.0001 rk_type 1 order 3 acc 3 t 8 dsm 2.85855e-05 dsm_est 4.15334e-05 nsteps 478 + rtol 0.0001 rk_type 1 order 3 acc 3 t 8.5 dsm 4.15619e-05 dsm_est 4.13654e-05 nsteps 480 + rtol 0.0001 rk_type 1 order 3 acc 3 t 9 dsm 9.3894e-06 dsm_est 4.17504e-05 nsteps 475 + rtol 0.0001 rk_type 1 order 3 acc 3 t 9.5 dsm 1.95141e-05 dsm_est 4.05915e-05 nsteps 482 + rtol 0.0001 rk_type 1 order 3 acc 3 t 10 dsm 2.83938e-05 dsm_est 4.15708e-05 nsteps 479 + rtol 1e-06 rk_type 1 order 3 acc 1 t 0.5 dsm 6.49367e-08 dsm_est 9.89086e-07 nsteps 550 + rtol 1e-06 rk_type 1 order 3 acc 1 t 1 dsm 5.83524e-07 dsm_est 9.4678e-07 nsteps 488 + rtol 1e-06 rk_type 1 order 3 acc 1 t 1.5 dsm 2.01442e-08 dsm_est 9.47358e-07 nsteps 491 + rtol 1e-06 rk_type 1 order 3 acc 1 t 2 dsm 6.89174e-08 dsm_est 9.48104e-07 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 1 t 2.5 dsm 3.25214e-07 dsm_est 9.49113e-07 nsteps 463 + rtol 1e-06 rk_type 1 order 3 acc 1 t 3 dsm 3.48745e-07 dsm_est 9.48334e-07 nsteps 481 + rtol 1e-06 rk_type 1 order 3 acc 1 t 3.5 dsm 1.27971e-06 dsm_est 9.46641e-07 nsteps 484 + rtol 1e-06 rk_type 1 order 3 acc 1 t 4 dsm 5.22124e-07 dsm_est 9.49243e-07 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 1 t 4.5 dsm 6.25795e-07 dsm_est 9.48421e-07 nsteps 486 + rtol 1e-06 rk_type 1 order 3 acc 1 t 5 dsm 5.82624e-07 dsm_est 9.48091e-07 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 1 t 5.5 dsm 5.29296e-07 dsm_est 9.82269e-07 nsteps 483 + rtol 1e-06 rk_type 1 order 3 acc 1 t 6 dsm 3.47222e-07 dsm_est 9.87002e-07 nsteps 484 + rtol 1e-06 rk_type 1 order 3 acc 1 t 6.5 dsm 8.05504e-07 dsm_est 9.48638e-07 nsteps 477 + rtol 1e-06 rk_type 1 order 3 acc 1 t 7 dsm 4.05624e-08 dsm_est 9.61095e-07 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 1 t 7.5 dsm 7.28832e-08 dsm_est 9.4602e-07 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 1 t 8 dsm 9.01356e-07 dsm_est 9.48084e-07 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 1 t 8.5 dsm 9.82212e-07 dsm_est 9.4573e-07 nsteps 489 + rtol 1e-06 rk_type 1 order 3 acc 1 t 9 dsm 2.03978e-07 dsm_est 9.47478e-07 nsteps 468 + rtol 1e-06 rk_type 1 order 3 acc 1 t 9.5 dsm 2.77163e-07 dsm_est 9.49943e-07 nsteps 475 + rtol 1e-06 rk_type 1 order 3 acc 1 t 10 dsm 4.2482e-07 dsm_est 9.47165e-07 nsteps 476 + rtol 1e-06 rk_type 1 order 3 acc 2 t 0.5 dsm 6.49367e-08 dsm_est 0.000190015 nsteps 550 + rtol 1e-06 rk_type 1 order 3 acc 2 t 1 dsm 5.83524e-07 dsm_est 0.000191707 nsteps 488 + rtol 1e-06 rk_type 1 order 3 acc 2 t 1.5 dsm 2.01442e-08 dsm_est 0.000154747 nsteps 491 + rtol 1e-06 rk_type 1 order 3 acc 2 t 2 dsm 6.89174e-08 dsm_est 0.000191171 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 2 t 2.5 dsm 3.25214e-07 dsm_est 0.000189145 nsteps 463 + rtol 1e-06 rk_type 1 order 3 acc 2 t 3 dsm 3.48745e-07 dsm_est 0.000193684 nsteps 481 + rtol 1e-06 rk_type 1 order 3 acc 2 t 3.5 dsm 1.27971e-06 dsm_est 0.000198922 nsteps 484 + rtol 1e-06 rk_type 1 order 3 acc 2 t 4 dsm 5.22124e-07 dsm_est 0.000197072 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 2 t 4.5 dsm 6.25795e-07 dsm_est 0.000191436 nsteps 486 + rtol 1e-06 rk_type 1 order 3 acc 2 t 5 dsm 5.82624e-07 dsm_est 0.000196185 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 2 t 5.5 dsm 5.29296e-07 dsm_est 0.000199124 nsteps 483 + rtol 1e-06 rk_type 1 order 3 acc 2 t 6 dsm 3.47222e-07 dsm_est 0.000199936 nsteps 484 + rtol 1e-06 rk_type 1 order 3 acc 2 t 6.5 dsm 8.05504e-07 dsm_est 0.000193196 nsteps 477 + rtol 1e-06 rk_type 1 order 3 acc 2 t 7 dsm 4.05624e-08 dsm_est 0.000198041 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 2 t 7.5 dsm 7.28832e-08 dsm_est 0.000199497 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 2 t 8 dsm 9.01356e-07 dsm_est 0.000197732 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 2 t 8.5 dsm 9.82212e-07 dsm_est 0.000189126 nsteps 489 + rtol 1e-06 rk_type 1 order 3 acc 2 t 9 dsm 2.03978e-07 dsm_est 0.000189873 nsteps 468 + rtol 1e-06 rk_type 1 order 3 acc 2 t 9.5 dsm 2.77163e-07 dsm_est 0.000192779 nsteps 475 + rtol 1e-06 rk_type 1 order 3 acc 2 t 10 dsm 4.2482e-07 dsm_est 0.000186705 nsteps 476 + rtol 1e-06 rk_type 1 order 3 acc 3 t 0.5 dsm 6.49367e-08 dsm_est 3.76189e-07 nsteps 550 + rtol 1e-06 rk_type 1 order 3 acc 3 t 1 dsm 5.83524e-07 dsm_est 4.03986e-07 nsteps 488 + rtol 1e-06 rk_type 1 order 3 acc 3 t 1.5 dsm 2.01442e-08 dsm_est 3.17531e-07 nsteps 491 + rtol 1e-06 rk_type 1 order 3 acc 3 t 2 dsm 6.89174e-08 dsm_est 4.03334e-07 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 3 t 2.5 dsm 3.25214e-07 dsm_est 4.26069e-07 nsteps 463 + rtol 1e-06 rk_type 1 order 3 acc 3 t 3 dsm 3.48745e-07 dsm_est 4.13425e-07 nsteps 481 + rtol 1e-06 rk_type 1 order 3 acc 3 t 3.5 dsm 1.27971e-06 dsm_est 4.2656e-07 nsteps 484 + rtol 1e-06 rk_type 1 order 3 acc 3 t 4 dsm 5.22124e-07 dsm_est 4.19481e-07 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 3 t 4.5 dsm 6.25795e-07 dsm_est 4.03617e-07 nsteps 486 + rtol 1e-06 rk_type 1 order 3 acc 3 t 5 dsm 5.82624e-07 dsm_est 4.13815e-07 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 3 t 5.5 dsm 5.29296e-07 dsm_est 4.27331e-07 nsteps 483 + rtol 1e-06 rk_type 1 order 3 acc 3 t 6 dsm 3.47222e-07 dsm_est 4.28557e-07 nsteps 484 + rtol 1e-06 rk_type 1 order 3 acc 3 t 6.5 dsm 8.05504e-07 dsm_est 4.16753e-07 nsteps 477 + rtol 1e-06 rk_type 1 order 3 acc 3 t 7 dsm 4.05624e-08 dsm_est 4.18718e-07 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 3 t 7.5 dsm 7.28832e-08 dsm_est 4.22063e-07 nsteps 487 + rtol 1e-06 rk_type 1 order 3 acc 3 t 8 dsm 9.01356e-07 dsm_est 4.22563e-07 nsteps 485 + rtol 1e-06 rk_type 1 order 3 acc 3 t 8.5 dsm 9.82212e-07 dsm_est 3.97686e-07 nsteps 489 + rtol 1e-06 rk_type 1 order 3 acc 3 t 9 dsm 2.03978e-07 dsm_est 4.06169e-07 nsteps 468 + rtol 1e-06 rk_type 1 order 3 acc 3 t 9.5 dsm 2.77163e-07 dsm_est 4.12601e-07 nsteps 475 + rtol 1e-06 rk_type 1 order 3 acc 3 t 10 dsm 4.2482e-07 dsm_est 3.9924e-07 nsteps 476 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_5_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_5_0.out new file mode 100644 index 0000000..36b63bf --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_brusselator_20_5_0.out @@ -0,0 +1,189 @@ + +Accumulated error estimation test (stiff Brusselator ODE problem): + time domain: (0,10] + partition size = 20 + initial conditions: u0 = 1.2, v0 = 3.1, w0 = 3 + problem parameters: a = 1, b = 3.5, ep = 0.0004 + DIRK solver, order = 5 + +Adaptive-step runs: + rtol 0.01 rk_type 0 order 5 acc 1 t 0.5 dsm 7.48644e-05 dsm_est 3.4373e-05 nsteps 9 + rtol 0.01 rk_type 0 order 5 acc 1 t 1 dsm 0.000110257 dsm_est 2.23308e-06 nsteps 5 + rtol 0.01 rk_type 0 order 5 acc 1 t 1.5 dsm 0.00132404 dsm_est 2.08137e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 2 dsm 0.00110273 dsm_est 6.3665e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 2.5 dsm 6.10485e-05 dsm_est 1.85399e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 3 dsm 0.000275174 dsm_est 6.46876e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 3.5 dsm 0.00032811 dsm_est 1.68426e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 4 dsm 7.35974e-05 dsm_est 4.88814e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 4.5 dsm 0.000394423 dsm_est 1.74045e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 5 dsm 4.44693e-05 dsm_est 4.77027e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 5.5 dsm 0.000153383 dsm_est 6.89334e-07 nsteps 5 + rtol 0.01 rk_type 0 order 5 acc 1 t 6 dsm 0.00039377 dsm_est 3.77896e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 6.5 dsm 0.000506258 dsm_est 1.01998e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 7 dsm 0.00148699 dsm_est 4.63864e-05 nsteps 12 + rtol 0.01 rk_type 0 order 5 acc 1 t 7.5 dsm 0.000435975 dsm_est 0.000225656 nsteps 4 + rtol 0.01 rk_type 0 order 5 acc 1 t 8 dsm 0.000824606 dsm_est 1.36787e-05 nsteps 7 + rtol 0.01 rk_type 0 order 5 acc 1 t 8.5 dsm 0.00100819 dsm_est 1.09309e-05 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 9 dsm 0.00058073 dsm_est 4.52926e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 9.5 dsm 6.70214e-05 dsm_est 2.50118e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 1 t 10 dsm 0.000490488 dsm_est 4.64334e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 0.5 dsm 7.48644e-05 dsm_est 5.4592e-05 nsteps 9 + rtol 0.01 rk_type 0 order 5 acc 2 t 1 dsm 0.000110257 dsm_est 2.23312e-06 nsteps 5 + rtol 0.01 rk_type 0 order 5 acc 2 t 1.5 dsm 0.00132404 dsm_est 2.37777e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 2 dsm 0.00110273 dsm_est 8.17396e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 2.5 dsm 6.10485e-05 dsm_est 3.28054e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 3 dsm 0.000275174 dsm_est 6.76339e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 3.5 dsm 0.00032811 dsm_est 1.69526e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 4 dsm 7.35974e-05 dsm_est 4.93897e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 4.5 dsm 0.000394423 dsm_est 1.74465e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 5 dsm 4.44693e-05 dsm_est 4.91596e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 5.5 dsm 0.000153383 dsm_est 6.90221e-07 nsteps 5 + rtol 0.01 rk_type 0 order 5 acc 2 t 6 dsm 0.00039377 dsm_est 4.6301e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 6.5 dsm 0.000506258 dsm_est 1.7875e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 7 dsm 0.00148699 dsm_est 7.28369e-05 nsteps 12 + rtol 0.01 rk_type 0 order 5 acc 2 t 7.5 dsm 0.000435975 dsm_est 0.000234031 nsteps 4 + rtol 0.01 rk_type 0 order 5 acc 2 t 8 dsm 0.000824606 dsm_est 2.56036e-05 nsteps 7 + rtol 0.01 rk_type 0 order 5 acc 2 t 8.5 dsm 0.00100819 dsm_est 1.09812e-05 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 9 dsm 0.00058073 dsm_est 4.93642e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 9.5 dsm 6.70214e-05 dsm_est 2.55332e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 2 t 10 dsm 0.000490488 dsm_est 4.66143e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 0.5 dsm 7.48644e-05 dsm_est 8.43563e-06 nsteps 9 + rtol 0.01 rk_type 0 order 5 acc 3 t 1 dsm 0.000110257 dsm_est 1.92448e-06 nsteps 5 + rtol 0.01 rk_type 0 order 5 acc 3 t 1.5 dsm 0.00132404 dsm_est 1.36392e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 2 dsm 0.00110273 dsm_est 3.97765e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 2.5 dsm 6.10485e-05 dsm_est 1.42453e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 3 dsm 0.000275174 dsm_est 3.75126e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 3.5 dsm 0.00032811 dsm_est 1.23035e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 4 dsm 7.35974e-05 dsm_est 3.49622e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 4.5 dsm 0.000394423 dsm_est 1.33208e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 5 dsm 4.44693e-05 dsm_est 3.3167e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 5.5 dsm 0.000153383 dsm_est 5.43622e-07 nsteps 5 + rtol 0.01 rk_type 0 order 5 acc 3 t 6 dsm 0.00039377 dsm_est 1.51647e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 6.5 dsm 0.000506258 dsm_est 6.62913e-07 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 7 dsm 0.00148699 dsm_est 1.33552e-05 nsteps 12 + rtol 0.01 rk_type 0 order 5 acc 3 t 7.5 dsm 0.000435975 dsm_est 0.000128373 nsteps 4 + rtol 0.01 rk_type 0 order 5 acc 3 t 8 dsm 0.000824606 dsm_est 9.87403e-06 nsteps 7 + rtol 0.01 rk_type 0 order 5 acc 3 t 8.5 dsm 0.00100819 dsm_est 5.15624e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 9 dsm 0.00058073 dsm_est 2.61771e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 9.5 dsm 6.70214e-05 dsm_est 1.42911e-06 nsteps 6 + rtol 0.01 rk_type 0 order 5 acc 3 t 10 dsm 0.000490488 dsm_est 3.46267e-06 nsteps 6 + rtol 0.0001 rk_type 0 order 5 acc 1 t 0.5 dsm 1.9124e-05 dsm_est 4.10549e-06 nsteps 13 + rtol 0.0001 rk_type 0 order 5 acc 1 t 1 dsm 1.46639e-06 dsm_est 2.99051e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 1.5 dsm 1.49779e-06 dsm_est 2.8794e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 2 dsm 2.48711e-06 dsm_est 5.23997e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 2.5 dsm 8.68487e-07 dsm_est 8.11031e-09 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 3 dsm 4.6854e-06 dsm_est 3.54429e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 1 t 3.5 dsm 4.86491e-06 dsm_est 1.27286e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 1 t 4 dsm 9.38226e-06 dsm_est 6.18062e-10 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 4.5 dsm 3.64804e-06 dsm_est 5.92484e-10 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 5 dsm 1.20837e-06 dsm_est 1.11283e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 5.5 dsm 1.96373e-05 dsm_est 1.16786e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 1 t 6 dsm 6.78601e-06 dsm_est 5.56249e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 1 t 6.5 dsm 3.28653e-05 dsm_est 5.49255e-08 nsteps 8 + rtol 0.0001 rk_type 0 order 5 acc 1 t 7 dsm 1.0851e-05 dsm_est 2.95421e-06 nsteps 17 + rtol 0.0001 rk_type 0 order 5 acc 1 t 7.5 dsm 8.11463e-06 dsm_est 7.59043e-08 nsteps 13 + rtol 0.0001 rk_type 0 order 5 acc 1 t 8 dsm 1.12113e-05 dsm_est 6.59216e-08 nsteps 7 + rtol 0.0001 rk_type 0 order 5 acc 1 t 8.5 dsm 7.59151e-06 dsm_est 8.65901e-08 nsteps 5 + rtol 0.0001 rk_type 0 order 5 acc 1 t 9 dsm 1.10466e-05 dsm_est 2.02617e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 1 t 9.5 dsm 1.12334e-05 dsm_est 1.10517e-07 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 1 t 10 dsm 9.05222e-07 dsm_est 1.64841e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 2 t 0.5 dsm 1.9124e-05 dsm_est 5.71969e-06 nsteps 13 + rtol 0.0001 rk_type 0 order 5 acc 2 t 1 dsm 1.46639e-06 dsm_est 2.99989e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 1.5 dsm 1.49779e-06 dsm_est 2.89735e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 2 dsm 2.48711e-06 dsm_est 5.35748e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 2.5 dsm 8.68487e-07 dsm_est 1.05987e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 3 dsm 4.6854e-06 dsm_est 3.58967e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 2 t 3.5 dsm 4.86491e-06 dsm_est 1.53193e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 2 t 4 dsm 9.38226e-06 dsm_est 1.14771e-09 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 4.5 dsm 3.64804e-06 dsm_est 8.14332e-10 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 5 dsm 1.20837e-06 dsm_est 1.18132e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 5.5 dsm 1.96373e-05 dsm_est 1.51402e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 2 t 6 dsm 6.78601e-06 dsm_est 8.14402e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 2 t 6.5 dsm 3.28653e-05 dsm_est 1.13828e-07 nsteps 8 + rtol 0.0001 rk_type 0 order 5 acc 2 t 7 dsm 1.0851e-05 dsm_est 4.33597e-06 nsteps 17 + rtol 0.0001 rk_type 0 order 5 acc 2 t 7.5 dsm 8.11463e-06 dsm_est 2.04239e-07 nsteps 13 + rtol 0.0001 rk_type 0 order 5 acc 2 t 8 dsm 1.12113e-05 dsm_est 6.62221e-08 nsteps 7 + rtol 0.0001 rk_type 0 order 5 acc 2 t 8.5 dsm 7.59151e-06 dsm_est 8.67008e-08 nsteps 5 + rtol 0.0001 rk_type 0 order 5 acc 2 t 9 dsm 1.10466e-05 dsm_est 3.06823e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 2 t 9.5 dsm 1.12334e-05 dsm_est 1.36785e-07 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 2 t 10 dsm 9.05222e-07 dsm_est 3.2806e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 3 t 0.5 dsm 1.9124e-05 dsm_est 8.037e-08 nsteps 13 + rtol 0.0001 rk_type 0 order 5 acc 3 t 1 dsm 1.46639e-06 dsm_est 1.96624e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 1.5 dsm 1.49779e-06 dsm_est 1.97143e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 2 dsm 2.48711e-06 dsm_est 3.32323e-08 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 2.5 dsm 8.68487e-07 dsm_est 5.8804e-09 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 3 dsm 4.6854e-06 dsm_est 2.06494e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 3 t 3.5 dsm 4.86491e-06 dsm_est 7.91268e-09 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 3 t 4 dsm 9.38226e-06 dsm_est 5.58758e-10 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 4.5 dsm 3.64804e-06 dsm_est 4.12749e-10 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 5 dsm 1.20837e-06 dsm_est 6.31634e-09 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 5.5 dsm 1.96373e-05 dsm_est 7.63049e-09 nsteps 3 + rtol 0.0001 rk_type 0 order 5 acc 3 t 6 dsm 6.78601e-06 dsm_est 3.45501e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 3 t 6.5 dsm 3.28653e-05 dsm_est 2.5131e-08 nsteps 8 + rtol 0.0001 rk_type 0 order 5 acc 3 t 7 dsm 1.0851e-05 dsm_est 4.68539e-07 nsteps 17 + rtol 0.0001 rk_type 0 order 5 acc 3 t 7.5 dsm 8.11463e-06 dsm_est 1.75019e-08 nsteps 13 + rtol 0.0001 rk_type 0 order 5 acc 3 t 8 dsm 1.12113e-05 dsm_est 2.06416e-08 nsteps 7 + rtol 0.0001 rk_type 0 order 5 acc 3 t 8.5 dsm 7.59151e-06 dsm_est 4.50463e-08 nsteps 5 + rtol 0.0001 rk_type 0 order 5 acc 3 t 9 dsm 1.10466e-05 dsm_est 1.18403e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 3 t 9.5 dsm 1.12334e-05 dsm_est 6.19359e-08 nsteps 4 + rtol 0.0001 rk_type 0 order 5 acc 3 t 10 dsm 9.05222e-07 dsm_est 1.24356e-08 nsteps 4 + rtol 1e-06 rk_type 0 order 5 acc 1 t 0.5 dsm 1.88136e-07 dsm_est 1.26411e-07 nsteps 20 + rtol 1e-06 rk_type 0 order 5 acc 1 t 1 dsm 3.6815e-08 dsm_est 2.79712e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 1 t 1.5 dsm 3.46973e-08 dsm_est 3.51635e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 1 t 2 dsm 2.15722e-07 dsm_est 6.11647e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 1 t 2.5 dsm 9.55646e-08 dsm_est 1.88588e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 1 t 3 dsm 1.61192e-07 dsm_est 1.2608e-08 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 1 t 3.5 dsm 4.89781e-08 dsm_est 3.86937e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 1 t 4 dsm 2.89671e-09 dsm_est 1.89611e-10 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 1 t 4.5 dsm 1.33856e-07 dsm_est 1.34787e-10 nsteps 4 + rtol 1e-06 rk_type 0 order 5 acc 1 t 5 dsm 1.14768e-07 dsm_est 3.89832e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 1 t 5.5 dsm 3.35877e-07 dsm_est 5.30354e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 1 t 6 dsm 3.66079e-07 dsm_est 3.68188e-09 nsteps 9 + rtol 1e-06 rk_type 0 order 5 acc 1 t 6.5 dsm 1.18284e-06 dsm_est 5.36543e-09 nsteps 13 + rtol 1e-06 rk_type 0 order 5 acc 1 t 7 dsm 6.15151e-07 dsm_est 1.3137e-07 nsteps 32 + rtol 1e-06 rk_type 0 order 5 acc 1 t 7.5 dsm 7.6586e-08 dsm_est 5.37386e-09 nsteps 17 + rtol 1e-06 rk_type 0 order 5 acc 1 t 8 dsm 4.14322e-07 dsm_est 7.83969e-10 nsteps 13 + rtol 1e-06 rk_type 0 order 5 acc 1 t 8.5 dsm 2.50606e-07 dsm_est 1.87037e-08 nsteps 9 + rtol 1e-06 rk_type 0 order 5 acc 1 t 9 dsm 1.33343e-07 dsm_est 8.70204e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 1 t 9.5 dsm 1.44237e-07 dsm_est 1.59014e-08 nsteps 6 + rtol 1e-06 rk_type 0 order 5 acc 1 t 10 dsm 1.34853e-07 dsm_est 2.74315e-08 nsteps 6 + rtol 1e-06 rk_type 0 order 5 acc 2 t 0.5 dsm 1.88136e-07 dsm_est 3.10757e-07 nsteps 20 + rtol 1e-06 rk_type 0 order 5 acc 2 t 1 dsm 3.6815e-08 dsm_est 2.85172e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 2 t 1.5 dsm 3.46973e-08 dsm_est 3.53495e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 2 t 2 dsm 2.15722e-07 dsm_est 6.21173e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 2 t 2.5 dsm 9.55646e-08 dsm_est 1.95849e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 2 t 3 dsm 1.61192e-07 dsm_est 1.42375e-08 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 2 t 3.5 dsm 4.89781e-08 dsm_est 5.44995e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 2 t 4 dsm 2.89671e-09 dsm_est 2.05845e-10 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 2 t 4.5 dsm 1.33856e-07 dsm_est 1.4524e-10 nsteps 4 + rtol 1e-06 rk_type 0 order 5 acc 2 t 5 dsm 1.14768e-07 dsm_est 3.97399e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 2 t 5.5 dsm 3.35877e-07 dsm_est 5.39098e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 2 t 6 dsm 3.66079e-07 dsm_est 4.54425e-09 nsteps 9 + rtol 1e-06 rk_type 0 order 5 acc 2 t 6.5 dsm 1.18284e-06 dsm_est 1.43453e-08 nsteps 13 + rtol 1e-06 rk_type 0 order 5 acc 2 t 7 dsm 6.15151e-07 dsm_est 3.71172e-07 nsteps 32 + rtol 1e-06 rk_type 0 order 5 acc 2 t 7.5 dsm 7.6586e-08 dsm_est 1.05078e-08 nsteps 17 + rtol 1e-06 rk_type 0 order 5 acc 2 t 8 dsm 4.14322e-07 dsm_est 1.80819e-09 nsteps 13 + rtol 1e-06 rk_type 0 order 5 acc 2 t 8.5 dsm 2.50606e-07 dsm_est 1.87833e-08 nsteps 9 + rtol 1e-06 rk_type 0 order 5 acc 2 t 9 dsm 1.33343e-07 dsm_est 1.22048e-08 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 2 t 9.5 dsm 1.44237e-07 dsm_est 3.40516e-08 nsteps 6 + rtol 1e-06 rk_type 0 order 5 acc 2 t 10 dsm 1.34853e-07 dsm_est 3.35247e-08 nsteps 6 + rtol 1e-06 rk_type 0 order 5 acc 3 t 0.5 dsm 1.88136e-07 dsm_est 1.26851e-08 nsteps 20 + rtol 1e-06 rk_type 0 order 5 acc 3 t 1 dsm 3.6815e-08 dsm_est 1.6608e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 3 t 1.5 dsm 3.46973e-08 dsm_est 1.70095e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 3 t 2 dsm 2.15722e-07 dsm_est 2.55077e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 3 t 2.5 dsm 9.55646e-08 dsm_est 8.55183e-10 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 3 t 3 dsm 1.61192e-07 dsm_est 6.55528e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 3 t 3.5 dsm 4.89781e-08 dsm_est 2.24419e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 3 t 4 dsm 2.89671e-09 dsm_est 1.14512e-10 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 3 t 4.5 dsm 1.33856e-07 dsm_est 9.42445e-11 nsteps 4 + rtol 1e-06 rk_type 0 order 5 acc 3 t 5 dsm 1.14768e-07 dsm_est 2.14148e-09 nsteps 5 + rtol 1e-06 rk_type 0 order 5 acc 3 t 5.5 dsm 3.35877e-07 dsm_est 2.26456e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 3 t 6 dsm 3.66079e-07 dsm_est 1.25374e-09 nsteps 9 + rtol 1e-06 rk_type 0 order 5 acc 3 t 6.5 dsm 1.18284e-06 dsm_est 2.39129e-09 nsteps 13 + rtol 1e-06 rk_type 0 order 5 acc 3 t 7 dsm 6.15151e-07 dsm_est 2.56642e-08 nsteps 32 + rtol 1e-06 rk_type 0 order 5 acc 3 t 7.5 dsm 7.6586e-08 dsm_est 1.02588e-09 nsteps 17 + rtol 1e-06 rk_type 0 order 5 acc 3 t 8 dsm 4.14322e-07 dsm_est 2.56944e-10 nsteps 13 + rtol 1e-06 rk_type 0 order 5 acc 3 t 8.5 dsm 2.50606e-07 dsm_est 7.50375e-09 nsteps 9 + rtol 1e-06 rk_type 0 order 5 acc 3 t 9 dsm 1.33343e-07 dsm_est 3.79527e-09 nsteps 7 + rtol 1e-06 rk_type 0 order 5 acc 3 t 9.5 dsm 1.44237e-07 dsm_est 1.06042e-08 nsteps 6 + rtol 1e-06 rk_type 0 order 5 acc 3 t 10 dsm 1.34853e-07 dsm_est 1.51614e-08 nsteps 6 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_-4_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_-4_1.out new file mode 100644 index 0000000..f45276a --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_-4_1.out @@ -0,0 +1,330 @@ + +Accumulated error estimation test (Nonlinear Kvaerno-Prothero-Robinson problem): + time domain: (0,5] + partition size = 20 + G = -10 + e = 0.1 + omega = 5 + ERK solver, order = 4 + +Fixed-step runs: + h 0.005 rk_type 1 order 4 acc 1 t 0.25 dsm 5.99625e-11 dsm_est 2.97934e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 0.5 dsm 1.42974e-10 dsm_est 1.09464e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 0.75 dsm 2.42719e-10 dsm_est 4.48851e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 1 dsm 6.83162e-10 dsm_est 2.52438e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 1.25 dsm 3.14281e-09 dsm_est 6.51615e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 1.5 dsm 4.52762e-09 dsm_est 3.9027e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 1.75 dsm 4.7305e-10 dsm_est 1.03348e-06 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 2 dsm 1.22724e-09 dsm_est 2.15168e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 2.25 dsm 2.1725e-10 dsm_est 4.54458e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 2.5 dsm 1.44845e-10 dsm_est 1.64155e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 2.75 dsm 1.45894e-10 dsm_est 1.12159e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 3 dsm 2.11123e-10 dsm_est 1.10902e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 3.25 dsm 2.34671e-10 dsm_est 3.64366e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 3.5 dsm 1.99557e-10 dsm_est 7.94986e-10 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 3.75 dsm 1.51624e-10 dsm_est 7.64317e-10 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 4 dsm 9.7978e-11 dsm_est 1.84333e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 4.25 dsm 3.36113e-11 dsm_est 3.03774e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 4.5 dsm 7.15711e-11 dsm_est 1.1807e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 4.75 dsm 3.79788e-11 dsm_est 3.66885e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 1 t 5 dsm 4.13058e-11 dsm_est 1.68612e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 0.25 dsm 5.99625e-11 dsm_est 6.92498e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 0.5 dsm 1.42974e-10 dsm_est 3.44716e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 0.75 dsm 2.42719e-10 dsm_est 1.11167e-06 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 1 dsm 6.83162e-10 dsm_est 3.96873e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 1.25 dsm 3.14281e-09 dsm_est 9.51778e-06 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 1.5 dsm 4.52762e-09 dsm_est 4.8884e-06 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 1.75 dsm 4.7305e-10 dsm_est 1.58084e-05 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 2 dsm 1.22724e-09 dsm_est 3.22447e-06 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 2.25 dsm 2.1725e-10 dsm_est 1.37158e-06 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 2.5 dsm 1.44845e-10 dsm_est 5.71622e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 2.75 dsm 1.45894e-10 dsm_est 2.89412e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 3 dsm 2.11123e-10 dsm_est 2.24322e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 3.25 dsm 2.34671e-10 dsm_est 1.10202e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 3.5 dsm 1.99557e-10 dsm_est 2.70653e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 3.75 dsm 1.51624e-10 dsm_est 2.01726e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 4 dsm 9.7978e-11 dsm_est 4.76316e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 4.25 dsm 3.36113e-11 dsm_est 1.20904e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 4.5 dsm 7.15711e-11 dsm_est 3.7071e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 4.75 dsm 3.79788e-11 dsm_est 8.7779e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 5 dsm 4.13058e-11 dsm_est 6.13145e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 0.25 dsm 5.99625e-11 dsm_est 1.385e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 0.5 dsm 1.42974e-10 dsm_est 6.89431e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 0.75 dsm 2.42719e-10 dsm_est 2.22335e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 1 dsm 6.83162e-10 dsm_est 7.93747e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 1.25 dsm 3.14281e-09 dsm_est 1.90356e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 1.5 dsm 4.52762e-09 dsm_est 9.7768e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 1.75 dsm 4.7305e-10 dsm_est 3.16168e-07 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 2 dsm 1.22724e-09 dsm_est 6.44894e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 2.25 dsm 2.1725e-10 dsm_est 2.74317e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 2.5 dsm 1.44845e-10 dsm_est 1.14324e-08 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 2.75 dsm 1.45894e-10 dsm_est 5.78824e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 3 dsm 2.11123e-10 dsm_est 4.48643e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 3.25 dsm 2.34671e-10 dsm_est 2.20404e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 3.5 dsm 1.99557e-10 dsm_est 5.41306e-10 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 3.75 dsm 1.51624e-10 dsm_est 4.03452e-10 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 4 dsm 9.7978e-11 dsm_est 9.52633e-10 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 4.25 dsm 3.36113e-11 dsm_est 2.41808e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 4.5 dsm 7.15711e-11 dsm_est 7.4142e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 4.75 dsm 3.79788e-11 dsm_est 1.75558e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 3 t 5 dsm 4.13058e-11 dsm_est 1.22629e-09 nsteps 50 + h 0.005 rk_type 1 order 4 acc 2 t 0.25 dsm 5.99625e-11 dsm_est 9.19534e-10 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 0.5 dsm 1.42974e-10 dsm_est 2.10629e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 0.75 dsm 2.42719e-10 dsm_est 3.82746e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 1 dsm 6.83162e-10 dsm_est 1.03061e-08 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 1.25 dsm 3.14281e-09 dsm_est 4.33257e-08 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 1.5 dsm 4.52762e-09 dsm_est 6.98227e-08 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 1.75 dsm 4.7305e-10 dsm_est 3.66571e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 2 dsm 1.22724e-09 dsm_est 1.87356e-08 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 2.25 dsm 2.1725e-10 dsm_est 3.03702e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 2.5 dsm 1.44845e-10 dsm_est 2.22121e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 2.75 dsm 1.45894e-10 dsm_est 2.22678e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 3 dsm 2.11123e-10 dsm_est 3.23991e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 3.25 dsm 2.34671e-10 dsm_est 3.61593e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 3.5 dsm 1.99557e-10 dsm_est 3.07907e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 3.75 dsm 1.51624e-10 dsm_est 2.34121e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 4 dsm 9.7978e-11 dsm_est 1.51474e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 4.25 dsm 3.36113e-11 dsm_est 5.09945e-10 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 4.5 dsm 7.15711e-11 dsm_est 1.10419e-09 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 4.75 dsm 3.79788e-11 dsm_est 5.88316e-10 nsteps 75 + h 0.005 rk_type 1 order 4 acc 2 t 5 dsm 4.13058e-11 dsm_est 6.25891e-10 nsteps 75 + h 0.00125 rk_type 1 order 4 acc 1 t 0.25 dsm 2.30499e-13 dsm_est 1.18706e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 0.5 dsm 5.68219e-13 dsm_est 4.29143e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 0.75 dsm 9.09327e-13 dsm_est 1.75788e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 1 dsm 2.66412e-12 dsm_est 1.00941e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 1.25 dsm 1.30178e-11 dsm_est 2.55862e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 1.5 dsm 1.73534e-11 dsm_est 1.64905e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 1.75 dsm 3.44384e-12 dsm_est 4.05424e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 2 dsm 4.73982e-12 dsm_est 8.44242e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 2.25 dsm 8.24836e-13 dsm_est 1.78198e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 2.5 dsm 5.58183e-13 dsm_est 6.41367e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 2.75 dsm 5.66294e-13 dsm_est 4.38146e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 3 dsm 8.06614e-13 dsm_est 4.34752e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 3.25 dsm 8.98387e-13 dsm_est 1.416e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 3.5 dsm 7.63217e-13 dsm_est 3.10184e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 3.75 dsm 5.78309e-13 dsm_est 2.99367e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 4 dsm 3.75531e-13 dsm_est 7.27428e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 4.25 dsm 1.33194e-13 dsm_est 1.19044e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 4.5 dsm 2.44986e-13 dsm_est 4.62152e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 4.75 dsm 1.41286e-13 dsm_est 1.51237e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 1 t 5 dsm 1.73009e-13 dsm_est 6.57848e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 0.25 dsm 2.30499e-13 dsm_est 1.08204e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 0.5 dsm 5.68219e-13 dsm_est 5.40888e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 0.75 dsm 9.09327e-13 dsm_est 1.7413e-08 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 1 dsm 2.66412e-12 dsm_est 6.10198e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 1.25 dsm 1.30178e-11 dsm_est 1.49252e-07 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 1.5 dsm 1.73534e-11 dsm_est 7.5991e-08 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 1.75 dsm 3.44384e-12 dsm_est 2.47716e-07 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 2 dsm 4.73982e-12 dsm_est 4.99807e-08 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 2.25 dsm 8.24836e-13 dsm_est 2.14752e-08 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 2.5 dsm 5.58183e-13 dsm_est 8.93029e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 2.75 dsm 5.66294e-13 dsm_est 4.52416e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 3 dsm 8.06614e-13 dsm_est 3.502e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 3.25 dsm 8.98387e-13 dsm_est 1.71624e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 3.5 dsm 7.63217e-13 dsm_est 4.19654e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 3.75 dsm 5.78309e-13 dsm_est 3.14069e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 4 dsm 3.75531e-13 dsm_est 7.43405e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 4.25 dsm 1.33194e-13 dsm_est 1.89465e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 4.5 dsm 2.44986e-13 dsm_est 5.80293e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 4.75 dsm 1.41286e-13 dsm_est 1.36602e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 5 dsm 1.73009e-13 dsm_est 9.5065e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 0.25 dsm 2.30499e-13 dsm_est 5.41022e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 0.5 dsm 5.68219e-13 dsm_est 2.70444e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 0.75 dsm 9.09327e-13 dsm_est 8.70648e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 1 dsm 2.66412e-12 dsm_est 3.05099e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 1.25 dsm 1.30178e-11 dsm_est 7.46262e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 1.5 dsm 1.73534e-11 dsm_est 3.79955e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 1.75 dsm 3.44384e-12 dsm_est 1.23858e-09 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 2 dsm 4.73982e-12 dsm_est 2.49903e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 2.25 dsm 8.24836e-13 dsm_est 1.07376e-10 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 2.5 dsm 5.58183e-13 dsm_est 4.46515e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 2.75 dsm 5.66294e-13 dsm_est 2.26208e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 3 dsm 8.06614e-13 dsm_est 1.751e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 3.25 dsm 8.98387e-13 dsm_est 8.58119e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 3.5 dsm 7.63217e-13 dsm_est 2.09827e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 3.75 dsm 5.78309e-13 dsm_est 1.57035e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 4 dsm 3.75531e-13 dsm_est 3.71703e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 4.25 dsm 1.33194e-13 dsm_est 9.47327e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 4.5 dsm 2.44986e-13 dsm_est 2.90146e-11 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 4.75 dsm 1.41286e-13 dsm_est 6.83008e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 3 t 5 dsm 1.73009e-13 dsm_est 4.75325e-12 nsteps 200 + h 0.00125 rk_type 1 order 4 acc 2 t 0.25 dsm 2.30499e-13 dsm_est 3.47846e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 0.5 dsm 5.68219e-13 dsm_est 8.44621e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 0.75 dsm 9.09327e-13 dsm_est 1.38911e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 1 dsm 2.66412e-12 dsm_est 3.99292e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 1.25 dsm 1.30178e-11 dsm_est 1.91091e-10 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 1.5 dsm 1.73534e-11 dsm_est 2.61959e-10 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 1.75 dsm 3.44384e-12 dsm_est 4.28383e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 2 dsm 4.73982e-12 dsm_est 7.1306e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 2.25 dsm 8.24836e-13 dsm_est 1.31816e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 2.5 dsm 5.58183e-13 dsm_est 8.4007e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 2.75 dsm 5.66294e-13 dsm_est 8.47988e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 3 dsm 8.06614e-13 dsm_est 1.22473e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 3.25 dsm 8.98387e-13 dsm_est 1.35837e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 3.5 dsm 7.63217e-13 dsm_est 1.15437e-11 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 3.75 dsm 5.78309e-13 dsm_est 8.76917e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 4 dsm 3.75531e-13 dsm_est 5.66133e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 4.25 dsm 1.33194e-13 dsm_est 1.9304e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 4.5 dsm 2.44986e-13 dsm_est 4.1717e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 4.75 dsm 1.41286e-13 dsm_est 2.17896e-12 nsteps 300 + h 0.00125 rk_type 1 order 4 acc 2 t 5 dsm 1.73009e-13 dsm_est 2.38734e-12 nsteps 300 + h 0.0003125 rk_type 1 order 4 acc 1 t 0.25 dsm 9.97977e-16 dsm_est 4.66004e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 0.5 dsm 7.34738e-15 dsm_est 1.67783e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 0.75 dsm 1.89479e-14 dsm_est 6.87079e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 1 dsm 6.41345e-15 dsm_est 3.96662e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 1.25 dsm 1.49538e-13 dsm_est 1.00006e-11 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 1 t 1.5 dsm 1.0257e-13 dsm_est 6.56125e-12 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 1 t 1.75 dsm 4.74681e-14 dsm_est 1.58483e-11 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 1 t 2 dsm 3.28771e-14 dsm_est 3.30065e-12 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 1 t 2.25 dsm 2.08777e-13 dsm_est 6.96642e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 2.5 dsm 1.03256e-14 dsm_est 2.50524e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 2.75 dsm 1.44079e-14 dsm_est 1.71146e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 3 dsm 6.86653e-14 dsm_est 1.69952e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 3.25 dsm 4.56716e-14 dsm_est 5.52408e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 3.5 dsm 1.14798e-14 dsm_est 1.21147e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 3.75 dsm 1.10427e-14 dsm_est 1.17036e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 4 dsm 5.31806e-14 dsm_est 2.84886e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 1 t 4.25 dsm 2.08119e-13 dsm_est 4.65384e-14 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 1 t 4.5 dsm 1.57233e-14 dsm_est 1.80608e-13 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 1 t 4.75 dsm 1.39902e-13 dsm_est 5.98529e-14 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 1 t 5 dsm 7.63042e-14 dsm_est 2.56897e-14 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 0.25 dsm 9.97977e-16 dsm_est 1.6907e-11 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 0.5 dsm 7.34738e-15 dsm_est 8.45809e-11 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 0.75 dsm 1.89479e-14 dsm_est 2.72242e-10 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 1 dsm 6.41345e-15 dsm_est 9.49565e-11 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 1.25 dsm 1.49538e-13 dsm_est 2.33397e-09 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 1.5 dsm 1.0257e-13 dsm_est 1.18555e-09 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 1.75 dsm 4.74681e-14 dsm_est 3.87341e-09 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 2 dsm 3.28771e-14 dsm_est 7.79395e-10 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 2.25 dsm 2.08777e-13 dsm_est 3.3572e-10 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 2.5 dsm 1.03256e-14 dsm_est 1.39527e-10 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 2.75 dsm 1.44079e-14 dsm_est 7.06925e-11 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 3 dsm 6.86653e-14 dsm_est 5.47055e-11 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 3.25 dsm 4.56716e-14 dsm_est 2.67951e-11 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 3.5 dsm 1.14798e-14 dsm_est 6.54805e-12 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 3.75 dsm 1.10427e-14 dsm_est 4.9065e-12 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 4 dsm 5.31806e-14 dsm_est 1.16127e-11 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 2 t 4.25 dsm 2.08119e-13 dsm_est 2.96268e-11 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 4.5 dsm 1.57233e-14 dsm_est 9.07089e-11 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 4.75 dsm 1.39902e-13 dsm_est 2.13237e-11 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 5 dsm 7.63042e-14 dsm_est 1.48242e-11 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 0.25 dsm 9.97977e-16 dsm_est 2.11337e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 0.5 dsm 7.34738e-15 dsm_est 1.05726e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 0.75 dsm 1.89479e-14 dsm_est 3.40303e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 1 dsm 6.41345e-15 dsm_est 1.18696e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 1.25 dsm 1.49538e-13 dsm_est 2.91382e-12 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 1.5 dsm 1.0257e-13 dsm_est 1.48008e-12 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 1.75 dsm 4.74681e-14 dsm_est 4.83572e-12 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 2 dsm 3.28771e-14 dsm_est 9.73028e-13 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 2.25 dsm 2.08777e-13 dsm_est 4.1965e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 2.5 dsm 1.03256e-14 dsm_est 1.74409e-13 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 2.75 dsm 1.44079e-14 dsm_est 8.83656e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 3 dsm 6.86653e-14 dsm_est 6.83819e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 3.25 dsm 4.56716e-14 dsm_est 3.34939e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 3.5 dsm 1.14798e-14 dsm_est 8.18506e-15 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 3.75 dsm 1.10427e-14 dsm_est 6.13312e-15 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 4 dsm 5.31806e-14 dsm_est 1.45159e-14 nsteps 800 + h 0.0003125 rk_type 1 order 4 acc 3 t 4.25 dsm 2.08119e-13 dsm_est 3.69873e-14 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 4.5 dsm 1.57233e-14 dsm_est 1.13245e-13 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 4.75 dsm 1.39902e-13 dsm_est 2.66213e-14 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 3 t 5 dsm 7.63042e-14 dsm_est 1.85072e-14 nsteps 801 + h 0.0003125 rk_type 1 order 4 acc 2 t 0.25 dsm 9.97977e-16 dsm_est 1.35296e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 0.5 dsm 7.34738e-15 dsm_est 3.14131e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 0.75 dsm 1.89479e-14 dsm_est 6.96153e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 1 dsm 6.41345e-15 dsm_est 1.77682e-13 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 1.25 dsm 1.49538e-13 dsm_est 5.92376e-13 nsteps 1201 + h 0.0003125 rk_type 1 order 4 acc 2 t 1.5 dsm 1.0257e-13 dsm_est 9.50139e-13 nsteps 1201 + h 0.0003125 rk_type 1 order 4 acc 2 t 1.75 dsm 4.74681e-14 dsm_est 1.5963e-13 nsteps 1201 + h 0.0003125 rk_type 1 order 4 acc 2 t 2 dsm 3.28771e-14 dsm_est 2.52198e-13 nsteps 1201 + h 0.0003125 rk_type 1 order 4 acc 2 t 2.25 dsm 2.08777e-13 dsm_est 3.31346e-13 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 2.5 dsm 1.03256e-14 dsm_est 3.26259e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 2.75 dsm 1.44079e-14 dsm_est 3.69706e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 3 dsm 6.86653e-14 dsm_est 8.29842e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 3.25 dsm 4.56716e-14 dsm_est 7.57076e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 3.5 dsm 1.14798e-14 dsm_est 4.72639e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 3.75 dsm 1.10427e-14 dsm_est 3.43678e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 4 dsm 5.31806e-14 dsm_est 4.43107e-14 nsteps 1200 + h 0.0003125 rk_type 1 order 4 acc 2 t 4.25 dsm 2.08119e-13 dsm_est 3.19466e-13 nsteps 1201 + h 0.0003125 rk_type 1 order 4 acc 2 t 4.5 dsm 1.57233e-14 dsm_est 3.54399e-14 nsteps 1201 + h 0.0003125 rk_type 1 order 4 acc 2 t 4.75 dsm 1.39902e-13 dsm_est 2.1045e-13 nsteps 1201 + h 0.0003125 rk_type 1 order 4 acc 2 t 5 dsm 7.63042e-14 dsm_est 1.1047e-13 nsteps 1201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 0.25 dsm 1.20076e-14 dsm_est 1.82253e-16 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 0.5 dsm 6.92895e-14 dsm_est 6.55669e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 0.75 dsm 7.1887e-14 dsm_est 2.68471e-15 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 1 dsm 5.29714e-14 dsm_est 1.55185e-15 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 1.25 dsm 4.54758e-13 dsm_est 3.90711e-14 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 1.5 dsm 1.61784e-13 dsm_est 2.57413e-14 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 1.75 dsm 1.4649e-13 dsm_est 6.1914e-14 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 2 dsm 6.85301e-14 dsm_est 1.28969e-14 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 2.25 dsm 3.74507e-13 dsm_est 2.72291e-15 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 2.5 dsm 1.92671e-14 dsm_est 9.81217e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 2.75 dsm 1.93516e-14 dsm_est 6.71729e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 3 dsm 1.23711e-13 dsm_est 6.65622e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 3.25 dsm 8.16997e-14 dsm_est 2.16207e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 3.5 dsm 1.95956e-14 dsm_est 4.74185e-17 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 3.75 dsm 2.16401e-14 dsm_est 4.58122e-17 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 4 dsm 9.37664e-14 dsm_est 1.11469e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 4.25 dsm 2.10442e-13 dsm_est 1.82276e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 4.5 dsm 1.64627e-14 dsm_est 7.11037e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 4.75 dsm 1.39177e-13 dsm_est 2.35957e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 1 t 5 dsm 7.51104e-14 dsm_est 1.00425e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 0.25 dsm 1.20076e-14 dsm_est 2.64165e-13 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 0.5 dsm 6.92895e-14 dsm_est 1.32181e-12 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 0.75 dsm 7.1887e-14 dsm_est 4.25372e-12 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1 dsm 5.29714e-14 dsm_est 1.48185e-12 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1.25 dsm 4.54758e-13 dsm_est 3.64743e-11 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1.5 dsm 1.61784e-13 dsm_est 1.85159e-11 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1.75 dsm 1.4649e-13 dsm_est 6.05314e-11 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2 dsm 6.85301e-14 dsm_est 1.2171e-11 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2.25 dsm 3.74507e-13 dsm_est 5.24549e-12 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2.5 dsm 1.92671e-14 dsm_est 2.18076e-12 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2.75 dsm 1.93516e-14 dsm_est 1.10503e-12 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3 dsm 1.23711e-13 dsm_est 8.55102e-13 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3.25 dsm 8.16997e-14 dsm_est 4.18589e-13 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3.5 dsm 1.95956e-14 dsm_est 1.02298e-13 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3.75 dsm 2.16401e-14 dsm_est 7.6628e-14 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4 dsm 9.37664e-14 dsm_est 1.81659e-13 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4.25 dsm 2.10442e-13 dsm_est 4.62687e-13 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4.5 dsm 1.64627e-14 dsm_est 1.42144e-12 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4.75 dsm 1.39177e-13 dsm_est 3.32669e-13 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 5 dsm 7.51104e-14 dsm_est 2.32583e-13 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 0.25 dsm 1.20076e-14 dsm_est 8.25514e-17 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 0.5 dsm 6.92895e-14 dsm_est 4.12935e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 0.75 dsm 7.1887e-14 dsm_est 1.32929e-15 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 1 dsm 5.29714e-14 dsm_est 4.63079e-16 nsteps 3200 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 1.25 dsm 4.54758e-13 dsm_est 1.13947e-14 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 1.5 dsm 1.61784e-13 dsm_est 5.78442e-15 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 1.75 dsm 1.4649e-13 dsm_est 1.89102e-14 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 2 dsm 6.85301e-14 dsm_est 3.80224e-15 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 2.25 dsm 3.74507e-13 dsm_est 1.6387e-15 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 2.5 dsm 1.92671e-14 dsm_est 6.81275e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 2.75 dsm 1.93516e-14 dsm_est 3.45213e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 3 dsm 1.23711e-13 dsm_est 2.67136e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 3.25 dsm 8.16997e-14 dsm_est 1.30768e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 3.5 dsm 1.95956e-14 dsm_est 3.19583e-17 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 3.75 dsm 2.16401e-14 dsm_est 2.39388e-17 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 4 dsm 9.37664e-14 dsm_est 5.67508e-17 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 4.25 dsm 2.10442e-13 dsm_est 1.44544e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 4.5 dsm 1.64627e-14 dsm_est 4.4406e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 4.75 dsm 1.39177e-13 dsm_est 1.03927e-16 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 3 t 5 dsm 7.51104e-14 dsm_est 7.26595e-17 nsteps 3201 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 0.25 dsm 1.20076e-14 dsm_est 9.70841e-15 nsteps 4800 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 0.5 dsm 6.92895e-14 dsm_est 1.22494e-13 nsteps 4801 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 0.75 dsm 7.1887e-14 dsm_est 1.01008e-13 nsteps 4801 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1 dsm 5.29714e-14 dsm_est 7.31368e-14 nsteps 4801 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1.25 dsm 4.54758e-13 dsm_est 7.05734e-13 nsteps 4801 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1.5 dsm 1.61784e-13 dsm_est 2.49851e-13 nsteps 4801 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 1.75 dsm 1.4649e-13 dsm_est 2.2764e-13 nsteps 4801 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2 dsm 6.85301e-14 dsm_est 1.06912e-13 nsteps 4801 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2.25 dsm 3.74507e-13 dsm_est 1.85903e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2.5 dsm 1.92671e-14 dsm_est 4.28748e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 2.75 dsm 1.93516e-14 dsm_est 3.17803e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3 dsm 1.23711e-13 dsm_est 2.14064e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3.25 dsm 8.16997e-14 dsm_est 9.8125e-16 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3.5 dsm 1.95956e-14 dsm_est 1.42241e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 3.75 dsm 2.16401e-14 dsm_est 9.52702e-16 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4 dsm 9.37664e-14 dsm_est 1.67292e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4.25 dsm 2.10442e-13 dsm_est 5.74872e-16 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4.5 dsm 1.64627e-14 dsm_est 2.39534e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 4.75 dsm 1.39177e-13 dsm_est 1.10424e-15 nsteps 4802 + h 7.8125e-05 rk_type 1 order 4 acc 2 t 5 dsm 7.51104e-14 dsm_est 1.21712e-15 nsteps 4802 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_2_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_2_0.out new file mode 100644 index 0000000..8809b5e --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_2_0.out @@ -0,0 +1,190 @@ + +Accumulated error estimation test (Nonlinear Kvaerno-Prothero-Robinson problem): + time domain: (0,5] + partition size = 20 + G = -10 + e = 0.1 + omega = 5 + DIRK solver, order = 2 + +Adaptive-step runs: + rtol 0.01 rk_type 0 order 2 acc 1 t 0.25 dsm 5.77245e-05 dsm_est 0.00686971 nsteps 9 + rtol 0.01 rk_type 0 order 2 acc 1 t 0.5 dsm 0.00372257 dsm_est 0.00877859 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 1 t 0.75 dsm 0.000232425 dsm_est 0.0066976 nsteps 13 + rtol 0.01 rk_type 0 order 2 acc 1 t 1 dsm 0.00327055 dsm_est 0.00759421 nsteps 9 + rtol 0.01 rk_type 0 order 2 acc 1 t 1.25 dsm 0.00363058 dsm_est 0.00633487 nsteps 16 + rtol 0.01 rk_type 0 order 2 acc 1 t 1.5 dsm 0.00267076 dsm_est 0.00679482 nsteps 12 + rtol 0.01 rk_type 0 order 2 acc 1 t 1.75 dsm 0.00971976 dsm_est 0.00698823 nsteps 16 + rtol 0.01 rk_type 0 order 2 acc 1 t 2 dsm 0.000918207 dsm_est 0.00684032 nsteps 14 + rtol 0.01 rk_type 0 order 2 acc 1 t 2.25 dsm 0.0016944 dsm_est 0.00722321 nsteps 10 + rtol 0.01 rk_type 0 order 2 acc 1 t 2.5 dsm 0.0056199 dsm_est 0.00390805 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 1 t 2.75 dsm 0.00855479 dsm_est 0.00899318 nsteps 6 + rtol 0.01 rk_type 0 order 2 acc 1 t 3 dsm 0.0023308 dsm_est 0.00881185 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 1 t 3.25 dsm 0.000539467 dsm_est 0.00351937 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 1 t 3.5 dsm 0.000312605 dsm_est 0.00446438 nsteps 6 + rtol 0.01 rk_type 0 order 2 acc 1 t 3.75 dsm 0.00144605 dsm_est 0.00759178 nsteps 4 + rtol 0.01 rk_type 0 order 2 acc 1 t 4 dsm 0.00023147 dsm_est 0.0031488 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 1 t 4.25 dsm 0.00806953 dsm_est 0.00741572 nsteps 4 + rtol 0.01 rk_type 0 order 2 acc 1 t 4.5 dsm 0.000322019 dsm_est 0.00679423 nsteps 11 + rtol 0.01 rk_type 0 order 2 acc 1 t 4.75 dsm 0.00405487 dsm_est 0.00313156 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 1 t 5 dsm 0.000699178 dsm_est 0.0036148 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 2 t 0.25 dsm 5.77245e-05 dsm_est 0.0164981 nsteps 9 + rtol 0.01 rk_type 0 order 2 acc 2 t 0.5 dsm 0.00372257 dsm_est 0.0210208 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 2 t 0.75 dsm 0.000232425 dsm_est 0.0308702 nsteps 13 + rtol 0.01 rk_type 0 order 2 acc 2 t 1 dsm 0.00327055 dsm_est 0.0340018 nsteps 9 + rtol 0.01 rk_type 0 order 2 acc 2 t 1.25 dsm 0.00363058 dsm_est 0.045914 nsteps 16 + rtol 0.01 rk_type 0 order 2 acc 2 t 1.5 dsm 0.00267076 dsm_est 0.0507535 nsteps 12 + rtol 0.01 rk_type 0 order 2 acc 2 t 1.75 dsm 0.00971976 dsm_est 0.05629 nsteps 16 + rtol 0.01 rk_type 0 order 2 acc 2 t 2 dsm 0.000918207 dsm_est 0.0375381 nsteps 14 + rtol 0.01 rk_type 0 order 2 acc 2 t 2.25 dsm 0.0016944 dsm_est 0.031166 nsteps 10 + rtol 0.01 rk_type 0 order 2 acc 2 t 2.5 dsm 0.0056199 dsm_est 0.00967058 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 2 t 2.75 dsm 0.00855479 dsm_est 0.0140582 nsteps 6 + rtol 0.01 rk_type 0 order 2 acc 2 t 3 dsm 0.0023308 dsm_est 0.014547 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 2 t 3.25 dsm 0.000539467 dsm_est 0.0111796 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 2 t 3.5 dsm 0.000312605 dsm_est 0.00770553 nsteps 6 + rtol 0.01 rk_type 0 order 2 acc 2 t 3.75 dsm 0.00144605 dsm_est 0.00972643 nsteps 4 + rtol 0.01 rk_type 0 order 2 acc 2 t 4 dsm 0.00023147 dsm_est 0.00981914 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 2 t 4.25 dsm 0.00806953 dsm_est 0.0118304 nsteps 4 + rtol 0.01 rk_type 0 order 2 acc 2 t 4.5 dsm 0.000322019 dsm_est 0.0262973 nsteps 11 + rtol 0.01 rk_type 0 order 2 acc 2 t 4.75 dsm 0.00405487 dsm_est 0.00626689 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 2 t 5 dsm 0.000699178 dsm_est 0.0128716 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 3 t 0.25 dsm 5.77245e-05 dsm_est 0.00353036 nsteps 9 + rtol 0.01 rk_type 0 order 2 acc 3 t 0.5 dsm 0.00372257 dsm_est 0.00558255 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 3 t 0.75 dsm 0.000232425 dsm_est 0.00326237 nsteps 13 + rtol 0.01 rk_type 0 order 2 acc 3 t 1 dsm 0.00327055 dsm_est 0.00560468 nsteps 9 + rtol 0.01 rk_type 0 order 2 acc 3 t 1.25 dsm 0.00363058 dsm_est 0.00326167 nsteps 16 + rtol 0.01 rk_type 0 order 2 acc 3 t 1.5 dsm 0.00267076 dsm_est 0.00448671 nsteps 12 + rtol 0.01 rk_type 0 order 2 acc 3 t 1.75 dsm 0.00971976 dsm_est 0.00430156 nsteps 16 + rtol 0.01 rk_type 0 order 2 acc 3 t 2 dsm 0.000918207 dsm_est 0.00360429 nsteps 14 + rtol 0.01 rk_type 0 order 2 acc 3 t 2.25 dsm 0.0016944 dsm_est 0.00427241 nsteps 10 + rtol 0.01 rk_type 0 order 2 acc 3 t 2.5 dsm 0.0056199 dsm_est 0.0029018 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 3 t 2.75 dsm 0.00855479 dsm_est 0.00614645 nsteps 6 + rtol 0.01 rk_type 0 order 2 acc 3 t 3 dsm 0.0023308 dsm_est 0.00499894 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 3 t 3.25 dsm 0.000539467 dsm_est 0.00271774 nsteps 8 + rtol 0.01 rk_type 0 order 2 acc 3 t 3.5 dsm 0.000312605 dsm_est 0.0029728 nsteps 6 + rtol 0.01 rk_type 0 order 2 acc 3 t 3.75 dsm 0.00144605 dsm_est 0.00565195 nsteps 4 + rtol 0.01 rk_type 0 order 2 acc 3 t 4 dsm 0.00023147 dsm_est 0.00239782 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 3 t 4.25 dsm 0.00806953 dsm_est 0.00616552 nsteps 4 + rtol 0.01 rk_type 0 order 2 acc 3 t 4.5 dsm 0.000322019 dsm_est 0.00389097 nsteps 11 + rtol 0.01 rk_type 0 order 2 acc 3 t 4.75 dsm 0.00405487 dsm_est 0.00155112 nsteps 7 + rtol 0.01 rk_type 0 order 2 acc 3 t 5 dsm 0.000699178 dsm_est 0.00252209 nsteps 8 + rtol 0.0001 rk_type 0 order 2 acc 1 t 0.25 dsm 7.46709e-07 dsm_est 7.18663e-05 nsteps 49 + rtol 0.0001 rk_type 0 order 2 acc 1 t 0.5 dsm 6.50352e-05 dsm_est 7.49302e-05 nsteps 42 + rtol 0.0001 rk_type 0 order 2 acc 1 t 0.75 dsm 4.48379e-06 dsm_est 7.39118e-05 nsteps 84 + rtol 0.0001 rk_type 0 order 2 acc 1 t 1 dsm 3.76158e-05 dsm_est 7.93376e-05 nsteps 61 + rtol 0.0001 rk_type 0 order 2 acc 1 t 1.25 dsm 6.82164e-05 dsm_est 9.03489e-05 nsteps 110 + rtol 0.0001 rk_type 0 order 2 acc 1 t 1.5 dsm 3.68171e-05 dsm_est 8.51313e-05 nsteps 109 + rtol 0.0001 rk_type 0 order 2 acc 1 t 1.75 dsm 2.35133e-05 dsm_est 8.17961e-05 nsteps 136 + rtol 0.0001 rk_type 0 order 2 acc 1 t 2 dsm 1.61655e-05 dsm_est 6.74799e-05 nsteps 91 + rtol 0.0001 rk_type 0 order 2 acc 1 t 2.25 dsm 6.22229e-05 dsm_est 8.55795e-05 nsteps 65 + rtol 0.0001 rk_type 0 order 2 acc 1 t 2.5 dsm 4.95459e-05 dsm_est 9.95948e-05 nsteps 38 + rtol 0.0001 rk_type 0 order 2 acc 1 t 2.75 dsm 4.09894e-05 dsm_est 7.97659e-05 nsteps 35 + rtol 0.0001 rk_type 0 order 2 acc 1 t 3 dsm 3.51226e-05 dsm_est 9.83341e-05 nsteps 41 + rtol 0.0001 rk_type 0 order 2 acc 1 t 3.25 dsm 9.918e-06 dsm_est 7.80442e-05 nsteps 34 + rtol 0.0001 rk_type 0 order 2 acc 1 t 3.5 dsm 6.68205e-06 dsm_est 6.93297e-05 nsteps 29 + rtol 0.0001 rk_type 0 order 2 acc 1 t 3.75 dsm 1.12533e-05 dsm_est 7.07769e-05 nsteps 22 + rtol 0.0001 rk_type 0 order 2 acc 1 t 4 dsm 4.18856e-06 dsm_est 7.35665e-05 nsteps 31 + rtol 0.0001 rk_type 0 order 2 acc 1 t 4.25 dsm 5.65033e-05 dsm_est 9.50758e-05 nsteps 27 + rtol 0.0001 rk_type 0 order 2 acc 1 t 4.5 dsm 8.06381e-06 dsm_est 7.57142e-05 nsteps 60 + rtol 0.0001 rk_type 0 order 2 acc 1 t 4.75 dsm 3.08146e-05 dsm_est 7.53944e-05 nsteps 36 + rtol 0.0001 rk_type 0 order 2 acc 1 t 5 dsm 1.43844e-05 dsm_est 7.56604e-05 nsteps 37 + rtol 0.0001 rk_type 0 order 2 acc 2 t 0.25 dsm 7.46709e-07 dsm_est 0.00190862 nsteps 49 + rtol 0.0001 rk_type 0 order 2 acc 2 t 0.5 dsm 6.50352e-05 dsm_est 0.00204717 nsteps 42 + rtol 0.0001 rk_type 0 order 2 acc 2 t 0.75 dsm 4.48379e-06 dsm_est 0.00379996 nsteps 84 + rtol 0.0001 rk_type 0 order 2 acc 2 t 1 dsm 3.76158e-05 dsm_est 0.00364205 nsteps 61 + rtol 0.0001 rk_type 0 order 2 acc 2 t 1.25 dsm 6.82164e-05 dsm_est 0.00560546 nsteps 110 + rtol 0.0001 rk_type 0 order 2 acc 2 t 1.5 dsm 3.68171e-05 dsm_est 0.00560365 nsteps 109 + rtol 0.0001 rk_type 0 order 2 acc 2 t 1.75 dsm 2.35133e-05 dsm_est 0.00647595 nsteps 136 + rtol 0.0001 rk_type 0 order 2 acc 2 t 2 dsm 1.61655e-05 dsm_est 0.00463485 nsteps 91 + rtol 0.0001 rk_type 0 order 2 acc 2 t 2.25 dsm 6.22229e-05 dsm_est 0.00349003 nsteps 65 + rtol 0.0001 rk_type 0 order 2 acc 2 t 2.5 dsm 4.95459e-05 dsm_est 0.00168906 nsteps 38 + rtol 0.0001 rk_type 0 order 2 acc 2 t 2.75 dsm 4.09894e-05 dsm_est 0.00204891 nsteps 35 + rtol 0.0001 rk_type 0 order 2 acc 2 t 3 dsm 3.51226e-05 dsm_est 0.00157108 nsteps 41 + rtol 0.0001 rk_type 0 order 2 acc 2 t 3.25 dsm 9.918e-06 dsm_est 0.00168635 nsteps 34 + rtol 0.0001 rk_type 0 order 2 acc 2 t 3.5 dsm 6.68205e-06 dsm_est 0.00104605 nsteps 29 + rtol 0.0001 rk_type 0 order 2 acc 2 t 3.75 dsm 1.12533e-05 dsm_est 0.00113201 nsteps 22 + rtol 0.0001 rk_type 0 order 2 acc 2 t 4 dsm 4.18856e-06 dsm_est 0.00148082 nsteps 31 + rtol 0.0001 rk_type 0 order 2 acc 2 t 4.25 dsm 5.65033e-05 dsm_est 0.0013283 nsteps 27 + rtol 0.0001 rk_type 0 order 2 acc 2 t 4.5 dsm 8.06381e-06 dsm_est 0.00333997 nsteps 60 + rtol 0.0001 rk_type 0 order 2 acc 2 t 4.75 dsm 3.08146e-05 dsm_est 0.00136969 nsteps 36 + rtol 0.0001 rk_type 0 order 2 acc 2 t 5 dsm 1.43844e-05 dsm_est 0.00206727 nsteps 37 + rtol 0.0001 rk_type 0 order 2 acc 3 t 0.25 dsm 7.46709e-07 dsm_est 3.95038e-05 nsteps 49 + rtol 0.0001 rk_type 0 order 2 acc 3 t 0.5 dsm 6.50352e-05 dsm_est 4.6374e-05 nsteps 42 + rtol 0.0001 rk_type 0 order 2 acc 3 t 0.75 dsm 4.48379e-06 dsm_est 4.43011e-05 nsteps 84 + rtol 0.0001 rk_type 0 order 2 acc 3 t 1 dsm 3.76158e-05 dsm_est 5.97518e-05 nsteps 61 + rtol 0.0001 rk_type 0 order 2 acc 3 t 1.25 dsm 6.82164e-05 dsm_est 4.87769e-05 nsteps 110 + rtol 0.0001 rk_type 0 order 2 acc 3 t 1.5 dsm 3.68171e-05 dsm_est 5.35469e-05 nsteps 109 + rtol 0.0001 rk_type 0 order 2 acc 3 t 1.75 dsm 2.35133e-05 dsm_est 4.62728e-05 nsteps 136 + rtol 0.0001 rk_type 0 order 2 acc 3 t 2 dsm 1.61655e-05 dsm_est 5.09881e-05 nsteps 91 + rtol 0.0001 rk_type 0 order 2 acc 3 t 2.25 dsm 6.22229e-05 dsm_est 5.36889e-05 nsteps 65 + rtol 0.0001 rk_type 0 order 2 acc 3 t 2.5 dsm 4.95459e-05 dsm_est 5.23304e-05 nsteps 38 + rtol 0.0001 rk_type 0 order 2 acc 3 t 2.75 dsm 4.09894e-05 dsm_est 5.62503e-05 nsteps 35 + rtol 0.0001 rk_type 0 order 2 acc 3 t 3 dsm 3.51226e-05 dsm_est 4.33776e-05 nsteps 41 + rtol 0.0001 rk_type 0 order 2 acc 3 t 3.25 dsm 9.918e-06 dsm_est 5.1345e-05 nsteps 34 + rtol 0.0001 rk_type 0 order 2 acc 3 t 3.5 dsm 6.68205e-06 dsm_est 3.84131e-05 nsteps 29 + rtol 0.0001 rk_type 0 order 2 acc 3 t 3.75 dsm 1.12533e-05 dsm_est 5.1961e-05 nsteps 22 + rtol 0.0001 rk_type 0 order 2 acc 3 t 4 dsm 4.18856e-06 dsm_est 4.8569e-05 nsteps 31 + rtol 0.0001 rk_type 0 order 2 acc 3 t 4.25 dsm 5.65033e-05 dsm_est 4.99955e-05 nsteps 27 + rtol 0.0001 rk_type 0 order 2 acc 3 t 4.5 dsm 8.06381e-06 dsm_est 5.6039e-05 nsteps 60 + rtol 0.0001 rk_type 0 order 2 acc 3 t 4.75 dsm 3.08146e-05 dsm_est 3.95264e-05 nsteps 36 + rtol 0.0001 rk_type 0 order 2 acc 3 t 5 dsm 1.43844e-05 dsm_est 5.62992e-05 nsteps 37 + rtol 1e-06 rk_type 0 order 2 acc 1 t 0.25 dsm 5.66725e-09 dsm_est 7.18787e-07 nsteps 488 + rtol 1e-06 rk_type 0 order 2 acc 1 t 0.5 dsm 9.92276e-07 dsm_est 8.1602e-07 nsteps 403 + rtol 1e-06 rk_type 0 order 2 acc 1 t 0.75 dsm 8.0717e-08 dsm_est 7.2088e-07 nsteps 823 + rtol 1e-06 rk_type 0 order 2 acc 1 t 1 dsm 5.67858e-07 dsm_est 9.90249e-07 nsteps 596 + rtol 1e-06 rk_type 0 order 2 acc 1 t 1.25 dsm 1.03484e-06 dsm_est 7.69939e-07 nsteps 1091 + rtol 1e-06 rk_type 0 order 2 acc 1 t 1.5 dsm 5.45182e-07 dsm_est 9.21351e-07 nsteps 1080 + rtol 1e-06 rk_type 0 order 2 acc 1 t 1.75 dsm 3.61096e-07 dsm_est 8.11495e-07 nsteps 1337 + rtol 1e-06 rk_type 0 order 2 acc 1 t 2 dsm 2.2003e-07 dsm_est 6.89881e-07 nsteps 898 + rtol 1e-06 rk_type 0 order 2 acc 1 t 2.25 dsm 9.38782e-07 dsm_est 7.22168e-07 nsteps 635 + rtol 1e-06 rk_type 0 order 2 acc 1 t 2.5 dsm 5.20042e-07 dsm_est 7.8752e-07 nsteps 372 + rtol 1e-06 rk_type 0 order 2 acc 1 t 2.75 dsm 4.66825e-07 dsm_est 7.09276e-07 nsteps 354 + rtol 1e-06 rk_type 0 order 2 acc 1 t 3 dsm 3.30086e-07 dsm_est 7.18289e-07 nsteps 409 + rtol 1e-06 rk_type 0 order 2 acc 1 t 3.25 dsm 1.19548e-07 dsm_est 7.25689e-07 nsteps 320 + rtol 1e-06 rk_type 0 order 2 acc 1 t 3.5 dsm 4.13474e-08 dsm_est 7.16259e-07 nsteps 288 + rtol 1e-06 rk_type 0 order 2 acc 1 t 3.75 dsm 1.02293e-07 dsm_est 7.17021e-07 nsteps 225 + rtol 1e-06 rk_type 0 order 2 acc 1 t 4 dsm 3.98477e-08 dsm_est 7.20467e-07 nsteps 304 + rtol 1e-06 rk_type 0 order 2 acc 1 t 4.25 dsm 7.93335e-07 dsm_est 7.48243e-07 nsteps 268 + rtol 1e-06 rk_type 0 order 2 acc 1 t 4.5 dsm 7.4366e-08 dsm_est 7.22713e-07 nsteps 597 + rtol 1e-06 rk_type 0 order 2 acc 1 t 4.75 dsm 5.08713e-07 dsm_est 8.6505e-07 nsteps 347 + rtol 1e-06 rk_type 0 order 2 acc 1 t 5 dsm 1.42752e-07 dsm_est 7.22893e-07 nsteps 366 + rtol 1e-06 rk_type 0 order 2 acc 2 t 0.25 dsm 5.66725e-09 dsm_est 0.000191192 nsteps 488 + rtol 1e-06 rk_type 0 order 2 acc 2 t 0.5 dsm 9.92276e-07 dsm_est 0.000207431 nsteps 403 + rtol 1e-06 rk_type 0 order 2 acc 2 t 0.75 dsm 8.0717e-08 dsm_est 0.00038834 nsteps 823 + rtol 1e-06 rk_type 0 order 2 acc 2 t 1 dsm 5.67858e-07 dsm_est 0.000365552 nsteps 596 + rtol 1e-06 rk_type 0 order 2 acc 2 t 1.25 dsm 1.03484e-06 dsm_est 0.000558232 nsteps 1091 + rtol 1e-06 rk_type 0 order 2 acc 2 t 1.5 dsm 5.45182e-07 dsm_est 0.000561123 nsteps 1080 + rtol 1e-06 rk_type 0 order 2 acc 2 t 1.75 dsm 3.61096e-07 dsm_est 0.000646341 nsteps 1337 + rtol 1e-06 rk_type 0 order 2 acc 2 t 2 dsm 2.2003e-07 dsm_est 0.000468686 nsteps 898 + rtol 1e-06 rk_type 0 order 2 acc 2 t 2.25 dsm 9.38782e-07 dsm_est 0.00034842 nsteps 635 + rtol 1e-06 rk_type 0 order 2 acc 2 t 2.5 dsm 5.20042e-07 dsm_est 0.000167351 nsteps 372 + rtol 1e-06 rk_type 0 order 2 acc 2 t 2.75 dsm 4.66825e-07 dsm_est 0.000203788 nsteps 354 + rtol 1e-06 rk_type 0 order 2 acc 2 t 3 dsm 3.30086e-07 dsm_est 0.000158918 nsteps 409 + rtol 1e-06 rk_type 0 order 2 acc 2 t 3.25 dsm 1.19548e-07 dsm_est 0.000177948 nsteps 320 + rtol 1e-06 rk_type 0 order 2 acc 2 t 3.5 dsm 4.13474e-08 dsm_est 0.0001041 nsteps 288 + rtol 1e-06 rk_type 0 order 2 acc 2 t 3.75 dsm 1.02293e-07 dsm_est 0.000113361 nsteps 225 + rtol 1e-06 rk_type 0 order 2 acc 2 t 4 dsm 3.98477e-08 dsm_est 0.000151291 nsteps 304 + rtol 1e-06 rk_type 0 order 2 acc 2 t 4.25 dsm 7.93335e-07 dsm_est 0.000130015 nsteps 268 + rtol 1e-06 rk_type 0 order 2 acc 2 t 4.5 dsm 7.4366e-08 dsm_est 0.000335997 nsteps 597 + rtol 1e-06 rk_type 0 order 2 acc 2 t 4.75 dsm 5.08713e-07 dsm_est 0.000143029 nsteps 347 + rtol 1e-06 rk_type 0 order 2 acc 2 t 5 dsm 1.42752e-07 dsm_est 0.000210843 nsteps 366 + rtol 1e-06 rk_type 0 order 2 acc 3 t 0.25 dsm 5.66725e-09 dsm_est 3.9261e-07 nsteps 488 + rtol 1e-06 rk_type 0 order 2 acc 3 t 0.5 dsm 9.92276e-07 dsm_est 5.09315e-07 nsteps 403 + rtol 1e-06 rk_type 0 order 2 acc 3 t 0.75 dsm 8.0717e-08 dsm_est 4.63477e-07 nsteps 823 + rtol 1e-06 rk_type 0 order 2 acc 3 t 1 dsm 5.67858e-07 dsm_est 6.16216e-07 nsteps 596 + rtol 1e-06 rk_type 0 order 2 acc 3 t 1.25 dsm 1.03484e-06 dsm_est 4.92364e-07 nsteps 1091 + rtol 1e-06 rk_type 0 order 2 acc 3 t 1.5 dsm 5.45182e-07 dsm_est 5.41053e-07 nsteps 1080 + rtol 1e-06 rk_type 0 order 2 acc 3 t 1.75 dsm 3.61096e-07 dsm_est 4.72477e-07 nsteps 1337 + rtol 1e-06 rk_type 0 order 2 acc 3 t 2 dsm 2.2003e-07 dsm_est 5.24929e-07 nsteps 898 + rtol 1e-06 rk_type 0 order 2 acc 3 t 2.25 dsm 9.38782e-07 dsm_est 5.42556e-07 nsteps 635 + rtol 1e-06 rk_type 0 order 2 acc 3 t 2.5 dsm 5.20042e-07 dsm_est 4.96892e-07 nsteps 372 + rtol 1e-06 rk_type 0 order 2 acc 3 t 2.75 dsm 4.66825e-07 dsm_est 5.60217e-07 nsteps 354 + rtol 1e-06 rk_type 0 order 2 acc 3 t 3 dsm 3.30086e-07 dsm_est 4.24795e-07 nsteps 409 + rtol 1e-06 rk_type 0 order 2 acc 3 t 3.25 dsm 1.19548e-07 dsm_est 5.56477e-07 nsteps 320 + rtol 1e-06 rk_type 0 order 2 acc 3 t 3.5 dsm 4.13474e-08 dsm_est 3.67781e-07 nsteps 288 + rtol 1e-06 rk_type 0 order 2 acc 3 t 3.75 dsm 1.02293e-07 dsm_est 5.03214e-07 nsteps 225 + rtol 1e-06 rk_type 0 order 2 acc 3 t 4 dsm 3.98477e-08 dsm_est 4.99206e-07 nsteps 304 + rtol 1e-06 rk_type 0 order 2 acc 3 t 4.25 dsm 7.93335e-07 dsm_est 4.93361e-07 nsteps 268 + rtol 1e-06 rk_type 0 order 2 acc 3 t 4.5 dsm 7.4366e-08 dsm_est 5.62432e-07 nsteps 597 + rtol 1e-06 rk_type 0 order 2 acc 3 t 4.75 dsm 5.08713e-07 dsm_est 4.57462e-07 nsteps 347 + rtol 1e-06 rk_type 0 order 2 acc 3 t 5 dsm 1.42752e-07 dsm_est 5.75749e-07 nsteps 366 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_3_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_3_1.out new file mode 100644 index 0000000..9c8d250 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_accumerror_kpr_20_3_1.out @@ -0,0 +1,190 @@ + +Accumulated error estimation test (Nonlinear Kvaerno-Prothero-Robinson problem): + time domain: (0,5] + partition size = 20 + G = -10 + e = 0.1 + omega = 5 + ERK solver, order = 3 + +Adaptive-step runs: + rtol 0.01 rk_type 1 order 3 acc 1 t 0.25 dsm 6.04149e-05 dsm_est 0.000128901 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 0.5 dsm 0.000268262 dsm_est 0.00122853 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 0.75 dsm 0.000162426 dsm_est 0.00195582 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 1 dsm 0.00010345 dsm_est 0.0018572 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 1.25 dsm 0.00145293 dsm_est 0.00223784 nsteps 7 + rtol 0.01 rk_type 1 order 3 acc 1 t 1.5 dsm 0.000475504 dsm_est 0.00220612 nsteps 6 + rtol 0.01 rk_type 1 order 3 acc 1 t 1.75 dsm 0.000953909 dsm_est 0.00848961 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 2 dsm 0.00190469 dsm_est 0.00438086 nsteps 6 + rtol 0.01 rk_type 1 order 3 acc 1 t 2.25 dsm 0.00091692 dsm_est 0.00242184 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 2.5 dsm 0.000303064 dsm_est 0.00155453 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 2.75 dsm 8.75302e-05 dsm_est 0.000628795 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 3 dsm 0.000106108 dsm_est 0.000628042 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 3.25 dsm 0.000146676 dsm_est 0.000206402 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 3.5 dsm 0.000132279 dsm_est 0.000121892 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 3.75 dsm 0.000106549 dsm_est 7.66243e-05 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 4 dsm 7.68783e-05 dsm_est 6.29323e-05 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 4.25 dsm 9.2941e-05 dsm_est 0.000487848 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 4.5 dsm 1.84821e-05 dsm_est 0.000635863 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 4.75 dsm 6.25225e-05 dsm_est 0.000713957 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 1 t 5 dsm 1.27772e-05 dsm_est 0.000232819 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 0.25 dsm 6.04149e-05 dsm_est 0.000142481 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 0.5 dsm 0.000268262 dsm_est 0.0017944 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 0.75 dsm 0.000162426 dsm_est 0.00306316 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 1 dsm 0.00010345 dsm_est 0.00295527 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 1.25 dsm 0.00145293 dsm_est 0.00455884 nsteps 7 + rtol 0.01 rk_type 1 order 3 acc 2 t 1.5 dsm 0.000475504 dsm_est 0.00371453 nsteps 6 + rtol 0.01 rk_type 1 order 3 acc 2 t 1.75 dsm 0.000953909 dsm_est 0.0112601 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 2 dsm 0.00190469 dsm_est 0.00636832 nsteps 6 + rtol 0.01 rk_type 1 order 3 acc 2 t 2.25 dsm 0.00091692 dsm_est 0.00259729 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 2.5 dsm 0.000303064 dsm_est 0.00186612 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 2.75 dsm 8.75302e-05 dsm_est 0.00125767 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 3 dsm 0.000106108 dsm_est 0.00108028 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 3.25 dsm 0.000146676 dsm_est 0.000287211 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 3.5 dsm 0.000132279 dsm_est 0.000198803 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 3.75 dsm 0.000106549 dsm_est 0.000127557 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 4 dsm 7.68783e-05 dsm_est 9.87869e-05 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 4.25 dsm 9.2941e-05 dsm_est 0.000739077 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 4.5 dsm 1.84821e-05 dsm_est 0.000782096 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 4.75 dsm 6.25225e-05 dsm_est 0.00123861 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 2 t 5 dsm 1.27772e-05 dsm_est 0.000335449 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 0.25 dsm 6.04149e-05 dsm_est 5.47626e-05 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 0.5 dsm 0.000268262 dsm_est 0.000688366 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 0.75 dsm 0.000162426 dsm_est 0.00119286 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 1 dsm 0.00010345 dsm_est 0.00117728 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 1.25 dsm 0.00145293 dsm_est 0.00131716 nsteps 7 + rtol 0.01 rk_type 1 order 3 acc 3 t 1.5 dsm 0.000475504 dsm_est 0.00085833 nsteps 6 + rtol 0.01 rk_type 1 order 3 acc 3 t 1.75 dsm 0.000953909 dsm_est 0.0042376 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 2 dsm 0.00190469 dsm_est 0.00253135 nsteps 6 + rtol 0.01 rk_type 1 order 3 acc 3 t 2.25 dsm 0.00091692 dsm_est 0.00101199 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 2.5 dsm 0.000303064 dsm_est 0.000742258 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 2.75 dsm 8.75302e-05 dsm_est 0.000500525 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 3 dsm 0.000106108 dsm_est 0.000425438 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 3.25 dsm 0.000146676 dsm_est 0.000113454 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 3.5 dsm 0.000132279 dsm_est 7.91918e-05 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 3.75 dsm 0.000106549 dsm_est 5.03981e-05 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 4 dsm 7.68783e-05 dsm_est 3.86745e-05 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 4.25 dsm 9.2941e-05 dsm_est 0.00028618 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 4.5 dsm 1.84821e-05 dsm_est 0.000303327 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 4.75 dsm 6.25225e-05 dsm_est 0.000490051 nsteps 5 + rtol 0.01 rk_type 1 order 3 acc 3 t 5 dsm 1.27772e-05 dsm_est 0.000133564 nsteps 5 + rtol 0.0001 rk_type 1 order 3 acc 1 t 0.25 dsm 2.72131e-05 dsm_est 1.82775e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 1 t 0.5 dsm 1.24325e-05 dsm_est 7.57337e-05 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 1 t 0.75 dsm 3.04294e-06 dsm_est 5.32249e-05 nsteps 11 + rtol 0.0001 rk_type 1 order 3 acc 1 t 1 dsm 5.56473e-06 dsm_est 4.83864e-05 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 1 t 1.25 dsm 2.64925e-05 dsm_est 9.09824e-05 nsteps 14 + rtol 0.0001 rk_type 1 order 3 acc 1 t 1.5 dsm 3.99013e-05 dsm_est 6.618e-05 nsteps 17 + rtol 0.0001 rk_type 1 order 3 acc 1 t 1.75 dsm 6.46566e-06 dsm_est 9.0814e-05 nsteps 20 + rtol 0.0001 rk_type 1 order 3 acc 1 t 2 dsm 2.27591e-05 dsm_est 4.33739e-05 nsteps 14 + rtol 0.0001 rk_type 1 order 3 acc 1 t 2.25 dsm 2.35987e-05 dsm_est 6.01739e-05 nsteps 12 + rtol 0.0001 rk_type 1 order 3 acc 1 t 2.5 dsm 1.9839e-05 dsm_est 5.21299e-05 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 1 t 2.75 dsm 4.82543e-06 dsm_est 7.16519e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 1 t 3 dsm 1.42111e-05 dsm_est 8.44199e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 1 t 3.25 dsm 8.99237e-05 dsm_est 5.93926e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 1 t 3.5 dsm 7.05943e-05 dsm_est 2.57508e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 1 t 3.75 dsm 0.00011745 dsm_est 7.78236e-05 nsteps 5 + rtol 0.0001 rk_type 1 order 3 acc 1 t 4 dsm 8.6392e-05 dsm_est 6.06003e-05 nsteps 5 + rtol 0.0001 rk_type 1 order 3 acc 1 t 4.25 dsm 1.06282e-05 dsm_est 9.64146e-05 nsteps 8 + rtol 0.0001 rk_type 1 order 3 acc 1 t 4.5 dsm 3.00465e-06 dsm_est 6.91731e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 1 t 4.75 dsm 2.24177e-06 dsm_est 6.08731e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 1 t 5 dsm 4.61559e-06 dsm_est 3.8972e-05 nsteps 7 + rtol 0.0001 rk_type 1 order 3 acc 2 t 0.25 dsm 2.72131e-05 dsm_est 4.924e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 2 t 0.5 dsm 1.24325e-05 dsm_est 0.000277893 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 2 t 0.75 dsm 3.04294e-06 dsm_est 0.000266101 nsteps 11 + rtol 0.0001 rk_type 1 order 3 acc 2 t 1 dsm 5.56473e-06 dsm_est 0.00021078 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 2 t 1.25 dsm 2.64925e-05 dsm_est 0.000612671 nsteps 14 + rtol 0.0001 rk_type 1 order 3 acc 2 t 1.5 dsm 3.99013e-05 dsm_est 0.000376163 nsteps 17 + rtol 0.0001 rk_type 1 order 3 acc 2 t 1.75 dsm 6.46566e-06 dsm_est 0.000664655 nsteps 20 + rtol 0.0001 rk_type 1 order 3 acc 2 t 2 dsm 2.27591e-05 dsm_est 0.000263341 nsteps 14 + rtol 0.0001 rk_type 1 order 3 acc 2 t 2.25 dsm 2.35987e-05 dsm_est 0.000218874 nsteps 12 + rtol 0.0001 rk_type 1 order 3 acc 2 t 2.5 dsm 1.9839e-05 dsm_est 0.000144657 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 2 t 2.75 dsm 4.82543e-06 dsm_est 0.000184366 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 2 t 3 dsm 1.42111e-05 dsm_est 0.000233128 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 2 t 3.25 dsm 8.99237e-05 dsm_est 9.1606e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 2 t 3.5 dsm 7.05943e-05 dsm_est 6.46269e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 2 t 3.75 dsm 0.00011745 dsm_est 0.000129769 nsteps 5 + rtol 0.0001 rk_type 1 order 3 acc 2 t 4 dsm 8.6392e-05 dsm_est 0.000108688 nsteps 5 + rtol 0.0001 rk_type 1 order 3 acc 2 t 4.25 dsm 1.06282e-05 dsm_est 0.000207268 nsteps 8 + rtol 0.0001 rk_type 1 order 3 acc 2 t 4.5 dsm 3.00465e-06 dsm_est 0.00017063 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 2 t 4.75 dsm 2.24177e-06 dsm_est 0.000176806 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 2 t 5 dsm 4.61559e-06 dsm_est 8.40566e-05 nsteps 7 + rtol 0.0001 rk_type 1 order 3 acc 3 t 0.25 dsm 2.72131e-05 dsm_est 1.26444e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 3 t 0.5 dsm 1.24325e-05 dsm_est 3.83049e-05 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 3 t 0.75 dsm 3.04294e-06 dsm_est 3.06274e-05 nsteps 11 + rtol 0.0001 rk_type 1 order 3 acc 3 t 1 dsm 5.56473e-06 dsm_est 2.34303e-05 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 3 t 1.25 dsm 2.64925e-05 dsm_est 4.97711e-05 nsteps 14 + rtol 0.0001 rk_type 1 order 3 acc 3 t 1.5 dsm 3.99013e-05 dsm_est 2.68233e-05 nsteps 17 + rtol 0.0001 rk_type 1 order 3 acc 3 t 1.75 dsm 6.46566e-06 dsm_est 4.0356e-05 nsteps 20 + rtol 0.0001 rk_type 1 order 3 acc 3 t 2 dsm 2.27591e-05 dsm_est 2.34866e-05 nsteps 14 + rtol 0.0001 rk_type 1 order 3 acc 3 t 2.25 dsm 2.35987e-05 dsm_est 2.21042e-05 nsteps 12 + rtol 0.0001 rk_type 1 order 3 acc 3 t 2.5 dsm 1.9839e-05 dsm_est 1.76794e-05 nsteps 10 + rtol 0.0001 rk_type 1 order 3 acc 3 t 2.75 dsm 4.82543e-06 dsm_est 2.9381e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 3 t 3 dsm 1.42111e-05 dsm_est 4.44933e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 3 t 3.25 dsm 8.99237e-05 dsm_est 2.62142e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 3 t 3.5 dsm 7.05943e-05 dsm_est 1.71657e-05 nsteps 6 + rtol 0.0001 rk_type 1 order 3 acc 3 t 3.75 dsm 0.00011745 dsm_est 5.1548e-05 nsteps 5 + rtol 0.0001 rk_type 1 order 3 acc 3 t 4 dsm 8.6392e-05 dsm_est 4.3218e-05 nsteps 5 + rtol 0.0001 rk_type 1 order 3 acc 3 t 4.25 dsm 1.06282e-05 dsm_est 4.16064e-05 nsteps 8 + rtol 0.0001 rk_type 1 order 3 acc 3 t 4.5 dsm 3.00465e-06 dsm_est 3.06597e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 3 t 4.75 dsm 2.24177e-06 dsm_est 2.78662e-05 nsteps 9 + rtol 0.0001 rk_type 1 order 3 acc 3 t 5 dsm 4.61559e-06 dsm_est 2.06734e-05 nsteps 7 + rtol 1e-06 rk_type 1 order 3 acc 1 t 0.25 dsm 4.12033e-07 dsm_est 8.83529e-07 nsteps 17 + rtol 1e-06 rk_type 1 order 3 acc 1 t 0.5 dsm 2.46326e-07 dsm_est 8.87311e-07 nsteps 31 + rtol 1e-06 rk_type 1 order 3 acc 1 t 0.75 dsm 3.64026e-08 dsm_est 8.31388e-07 nsteps 39 + rtol 1e-06 rk_type 1 order 3 acc 1 t 1 dsm 2.25687e-07 dsm_est 5.06051e-07 nsteps 45 + rtol 1e-06 rk_type 1 order 3 acc 1 t 1.25 dsm 5.93423e-07 dsm_est 9.4211e-07 nsteps 53 + rtol 1e-06 rk_type 1 order 3 acc 1 t 1.5 dsm 6.11123e-07 dsm_est 7.4438e-07 nsteps 68 + rtol 1e-06 rk_type 1 order 3 acc 1 t 1.75 dsm 1.11041e-07 dsm_est 8.66272e-07 nsteps 76 + rtol 1e-06 rk_type 1 order 3 acc 1 t 2 dsm 4.68945e-07 dsm_est 8.0627e-07 nsteps 49 + rtol 1e-06 rk_type 1 order 3 acc 1 t 2.25 dsm 2.82077e-07 dsm_est 7.6683e-07 nsteps 46 + rtol 1e-06 rk_type 1 order 3 acc 1 t 2.5 dsm 3.42754e-07 dsm_est 6.52319e-07 nsteps 37 + rtol 1e-06 rk_type 1 order 3 acc 1 t 2.75 dsm 8.76441e-08 dsm_est 7.34826e-07 nsteps 30 + rtol 1e-06 rk_type 1 order 3 acc 1 t 3 dsm 9.61476e-08 dsm_est 8.15376e-07 nsteps 29 + rtol 1e-06 rk_type 1 order 3 acc 1 t 3.25 dsm 1.10578e-06 dsm_est 8.36809e-07 nsteps 19 + rtol 1e-06 rk_type 1 order 3 acc 1 t 3.5 dsm 8.13041e-07 dsm_est 6.57651e-07 nsteps 19 + rtol 1e-06 rk_type 1 order 3 acc 1 t 3.75 dsm 8.63105e-07 dsm_est 6.37719e-07 nsteps 15 + rtol 1e-06 rk_type 1 order 3 acc 1 t 4 dsm 6.24598e-07 dsm_est 6.02239e-07 nsteps 17 + rtol 1e-06 rk_type 1 order 3 acc 1 t 4.25 dsm 1.79535e-07 dsm_est 8.62348e-07 nsteps 24 + rtol 1e-06 rk_type 1 order 3 acc 1 t 4.5 dsm 4.23449e-08 dsm_est 8.85746e-07 nsteps 29 + rtol 1e-06 rk_type 1 order 3 acc 1 t 4.75 dsm 1.70945e-08 dsm_est 6.68877e-07 nsteps 35 + rtol 1e-06 rk_type 1 order 3 acc 1 t 5 dsm 4.21376e-08 dsm_est 6.1895e-07 nsteps 23 + rtol 1e-06 rk_type 1 order 3 acc 2 t 0.25 dsm 4.12033e-07 dsm_est 5.39389e-06 nsteps 17 + rtol 1e-06 rk_type 1 order 3 acc 2 t 0.5 dsm 2.46326e-07 dsm_est 1.9237e-05 nsteps 31 + rtol 1e-06 rk_type 1 order 3 acc 2 t 0.75 dsm 3.64026e-08 dsm_est 1.83009e-05 nsteps 39 + rtol 1e-06 rk_type 1 order 3 acc 2 t 1 dsm 2.25687e-07 dsm_est 9.58735e-06 nsteps 45 + rtol 1e-06 rk_type 1 order 3 acc 2 t 1.25 dsm 5.93423e-07 dsm_est 3.20094e-05 nsteps 53 + rtol 1e-06 rk_type 1 order 3 acc 2 t 1.5 dsm 6.11123e-07 dsm_est 1.91705e-05 nsteps 68 + rtol 1e-06 rk_type 1 order 3 acc 2 t 1.75 dsm 1.11041e-07 dsm_est 3.76134e-05 nsteps 76 + rtol 1e-06 rk_type 1 order 3 acc 2 t 2 dsm 4.68945e-07 dsm_est 1.77029e-05 nsteps 49 + rtol 1e-06 rk_type 1 order 3 acc 2 t 2.25 dsm 2.82077e-07 dsm_est 1.41512e-05 nsteps 46 + rtol 1e-06 rk_type 1 order 3 acc 2 t 2.5 dsm 3.42754e-07 dsm_est 8.81414e-06 nsteps 37 + rtol 1e-06 rk_type 1 order 3 acc 2 t 2.75 dsm 8.76441e-08 dsm_est 1.05628e-05 nsteps 30 + rtol 1e-06 rk_type 1 order 3 acc 2 t 3 dsm 9.61476e-08 dsm_est 1.02396e-05 nsteps 29 + rtol 1e-06 rk_type 1 order 3 acc 2 t 3.25 dsm 1.10578e-06 dsm_est 5.86128e-06 nsteps 19 + rtol 1e-06 rk_type 1 order 3 acc 2 t 3.5 dsm 8.13041e-07 dsm_est 4.13828e-06 nsteps 19 + rtol 1e-06 rk_type 1 order 3 acc 2 t 3.75 dsm 8.63105e-07 dsm_est 4.96105e-06 nsteps 15 + rtol 1e-06 rk_type 1 order 3 acc 2 t 4 dsm 6.24598e-07 dsm_est 3.42283e-06 nsteps 17 + rtol 1e-06 rk_type 1 order 3 acc 2 t 4.25 dsm 1.79535e-07 dsm_est 1.35763e-05 nsteps 24 + rtol 1e-06 rk_type 1 order 3 acc 2 t 4.5 dsm 4.23449e-08 dsm_est 9.97609e-06 nsteps 29 + rtol 1e-06 rk_type 1 order 3 acc 2 t 4.75 dsm 1.70945e-08 dsm_est 8.39064e-06 nsteps 35 + rtol 1e-06 rk_type 1 order 3 acc 2 t 5 dsm 4.21376e-08 dsm_est 4.92976e-06 nsteps 23 + rtol 1e-06 rk_type 1 order 3 acc 3 t 0.25 dsm 4.12033e-07 dsm_est 3.51639e-07 nsteps 17 + rtol 1e-06 rk_type 1 order 3 acc 3 t 0.5 dsm 2.46326e-07 dsm_est 6.81523e-07 nsteps 31 + rtol 1e-06 rk_type 1 order 3 acc 3 t 0.75 dsm 3.64026e-08 dsm_est 5.27456e-07 nsteps 39 + rtol 1e-06 rk_type 1 order 3 acc 3 t 1 dsm 2.25687e-07 dsm_est 2.33885e-07 nsteps 45 + rtol 1e-06 rk_type 1 order 3 acc 3 t 1.25 dsm 5.93423e-07 dsm_est 6.2587e-07 nsteps 53 + rtol 1e-06 rk_type 1 order 3 acc 3 t 1.5 dsm 6.11123e-07 dsm_est 3.04709e-07 nsteps 68 + rtol 1e-06 rk_type 1 order 3 acc 3 t 1.75 dsm 1.11041e-07 dsm_est 5.31606e-07 nsteps 76 + rtol 1e-06 rk_type 1 order 3 acc 3 t 2 dsm 4.68945e-07 dsm_est 4.08204e-07 nsteps 49 + rtol 1e-06 rk_type 1 order 3 acc 3 t 2.25 dsm 2.82077e-07 dsm_est 3.48802e-07 nsteps 46 + rtol 1e-06 rk_type 1 order 3 acc 3 t 2.5 dsm 3.42754e-07 dsm_est 2.65247e-07 nsteps 37 + rtol 1e-06 rk_type 1 order 3 acc 3 t 2.75 dsm 8.76441e-08 dsm_est 3.82534e-07 nsteps 30 + rtol 1e-06 rk_type 1 order 3 acc 3 t 3 dsm 9.61476e-08 dsm_est 3.90658e-07 nsteps 29 + rtol 1e-06 rk_type 1 order 3 acc 3 t 3.25 dsm 1.10578e-06 dsm_est 3.96373e-07 nsteps 19 + rtol 1e-06 rk_type 1 order 3 acc 3 t 3.5 dsm 8.13041e-07 dsm_est 2.65458e-07 nsteps 19 + rtol 1e-06 rk_type 1 order 3 acc 3 t 3.75 dsm 8.63105e-07 dsm_est 4.14868e-07 nsteps 15 + rtol 1e-06 rk_type 1 order 3 acc 3 t 4 dsm 6.24598e-07 dsm_est 2.48565e-07 nsteps 17 + rtol 1e-06 rk_type 1 order 3 acc 3 t 4.25 dsm 1.79535e-07 dsm_est 6.40873e-07 nsteps 24 + rtol 1e-06 rk_type 1 order 3 acc 3 t 4.5 dsm 4.23449e-08 dsm_est 4.08016e-07 nsteps 29 + rtol 1e-06 rk_type 1 order 3 acc 3 t 4.75 dsm 1.70945e-08 dsm_est 2.72362e-07 nsteps 35 + rtol 1e-06 rk_type 1 order 3 acc 3 t 5 dsm 4.21376e-08 dsm_est 2.53485e-07 nsteps 23 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_brusselator_mriadapt_--rtol_0.000004_--scontrol_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_brusselator_mriadapt_--rtol_0.000004_--scontrol_0.out new file mode 100644 index 0000000..18ebb4b --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_brusselator_mriadapt_--rtol_0.000004_--scontrol_0.out @@ -0,0 +1,43 @@ + +Adaptive multirate stiff Brusselator test problem: + time domain: (0,10] + ep = 0.0004 + + Slow integrator: ARKODE_MRI_GARK_ERK45a (explicit) + fixed steps, hs = 0.01 + rtol = 4e-06, atol = 1e-11 + + Fast order 4 + I controller for fast time scale, based on order of RK embedding + fast_rtol = 0.0001, atol = 1e-11 + t u v w uerr verr werr + ------------------------------------------------------------------------- + 0.000000 1.200000 3.100000 3.000000 0.0e+00 0.0e+00 0.0e+00 + 0.500000 1.200613 2.996066 3.498311 1.2e-07 1.2e-07 8.6e-06 + 1.000000 1.107158 3.008131 3.498438 1.2e-07 1.2e-07 1.3e-05 + 1.500000 0.917798 3.188082 3.498698 1.0e-07 1.0e-07 1.7e-05 + 2.000000 0.691486 3.512327 3.499015 7.6e-08 7.6e-08 1.7e-05 + 2.500000 0.510160 3.896431 3.499274 5.5e-08 5.5e-08 1.2e-05 + 3.000000 0.410222 4.269502 3.499416 4.6e-08 4.6e-08 9.6e-06 + 3.500000 0.372044 4.614020 3.499469 3.0e-08 3.0e-08 9.8e-06 + 4.000000 0.367587 4.934562 3.499478 5.3e-08 5.3e-08 7.9e-06 + 4.500000 0.382205 5.233154 3.499474 3.2e-08 3.2e-08 9.1e-06 + 5.000000 0.412956 5.504352 3.499431 4.1e-08 4.1e-08 8.5e-06 + 5.500000 0.467990 5.730486 3.499356 5.5e-08 5.5e-08 1.1e-05 + 6.000000 0.585318 5.854262 3.499196 6.5e-08 6.6e-08 1.5e-05 + 6.500000 1.060808 5.503433 3.498555 5.4e-07 5.5e-07 3.8e-05 + 7.000000 4.794999 0.734608 3.493240 3.6e-06 3.6e-06 5.8e-05 + 7.500000 3.037708 1.057903 3.495704 2.0e-06 2.0e-06 4.7e-05 + 8.000000 1.833974 1.562357 3.497406 7.7e-07 7.8e-07 2.7e-05 + 8.500000 1.008519 2.191334 3.498570 2.5e-07 2.5e-07 1.8e-05 + 9.000000 0.534097 2.794912 3.499237 6.6e-08 6.7e-08 1.5e-05 + 9.500000 0.352784 3.263320 3.499486 4.3e-08 4.3e-08 2.0e-05 + 10.000000 0.305955 3.648439 3.499562 2.5e-08 2.5e-08 9.8e-06 + ------------------------------------------------------------------------- + +Final Solver Statistics: + Slow steps = 1000 (attempts = 1000, fails = 0) + Fast steps = 11777 (attempts = 16708, fails = 4931) + u error = 1.83324e-06, v error = 1.63119e-06, w error = 5.54867e-05, total error = 3.20666e-05 + Relative accuracy = 83.5081 + Total RHS evals: Fse = 5000, Fsi = 0, Ff = 78611 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_-1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_-1.out index 9f09d86..dedbba4 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_-1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_-1.out @@ -14,6 +14,7 @@ Test explicit MRI methods ========================= Testing method ARKODE_MIS_KW3 + type = explicit MRI nmat = 1 stages = 4 method order (q) = 3 @@ -24,6 +25,7 @@ Testing method ARKODE_MIS_KW3 0.3333333333333333 0 0 0 -0.5208333333333333 0.9375 0 0 0.3541666666666666 -0.6375 0.5333333333333333 0 + 0 0 0 0 Stored stages = 3 @@ -40,15 +42,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22a + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.5 1 W[0] = 0 0 0 0.5 0 0 -0.5 1 0 + 0.5 0 0 Stored stages = 2 @@ -65,15 +69,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22b + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 1 1 W[0] = 0 0 0 1 0 0 -0.5 0.5 0 + 0 0 0 Stored stages = 2 @@ -90,22 +96,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK33a + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.3333333333333333 0.6666666666666666 1 W[0] = 0 0 0 0 0.3333333333333333 0 0 0 -0.3333333333333333 0.6666666666666666 0 0 0 -0.6666666666666666 1 0 + 0.08333333333333333 -0.3333333333333333 0.5833333333333334 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 -0.5 0 + 0 0 0 0 Stored stages = 3 @@ -122,10 +131,11 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK45a + type = explicit MRI nmat = 2 stages = 6 method order (q) = 4 - embedding order (p) = 0 + embedding order (p) = 3 c = 0 0.2 0.4 0.6 0.8 1 W[0] = 0 0 0 0 0 0 @@ -134,6 +144,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.5121234603937985 1.955496920787597 -1.243373460393798 0 0 0 -0.1068927211587161 -4.656693056981116 3.994968532757531 0.9686172453823019 0 0 0.911960843690752 -0.1837327083772207 -1.193926866090864 -2.611983006811319 3.277681737588653 0 + -1.858584369075205 2.224667606006969 -0.5244469581796045 -0.09396291472257937 0.45232663597042 0 W[1] = 0 0 0 0 0 0 @@ -142,6 +153,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.0382530792124029 0.6952561584248058 -0.6570030792124029 0 0 0 1.87616694642529 3.003768197383342 -3 -1.879935143808632 0 0 -2.423803191489362 2 1 5 -5.576196808510638 0 + 3.304787234042553 -3.304787234042553 0 0 0 0 Stored stages = 5 @@ -158,6 +170,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_FORWARD_EULER + type = explicit MRI nmat = 1 stages = 2 method order (q) = 1 @@ -166,6 +179,7 @@ Testing method ARKODE_MRI_GARK_FORWARD_EULER W[0] = 0 0 1 0 + 0 0 Stored stages = 1 @@ -182,15 +196,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON2 + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.6666666666666666 1 W[0] = 0 0 0 0.6666666666666666 0 0 -0.4166666666666666 0.75 0 + 0.3333333333333334 0 0 Stored stages = 2 @@ -207,22 +223,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON3 + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.5 0.75 1 W[0] = 0 0 0 0 0.5 0 0 0 -2.75 3 0 0 1.305555555555556 -0.1666666666666667 -0.8888888888888888 0 + 0.025 0.175 0.05 0 W[1] = 0 0 0 0 0 0 0 0 4.5 -4.5 0 0 -2.166666666666667 -0.5 2.666666666666667 0 + 0 0 0 0 Stored stages = 3 @@ -243,6 +262,7 @@ Test implicit MRI methods ========================= Testing method ARKODE_MRI_GARK_BACKWARD_EULER + type = implicit MRI nmat = 1 stages = 3 method order (q) = 1 @@ -252,6 +272,7 @@ Testing method ARKODE_MRI_GARK_BACKWARD_EULER 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -273,19 +294,22 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK34a + type = implicit MRI nmat = 1 - stages = 7 + stages = 8 method order (q) = 3 - embedding order (p) = 0 - c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 + embedding order (p) = 2 + c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 1 G[0] = - 0 0 0 0 0 0 0 - 0.3333333333333333 0 0 0 0 0 0 - -0.435866521508459 0 0.435866521508459 0 0 0 0 - -0.3045790611944505 0 0.6379123945277838 0 0 0 0 - 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 - 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 - -0.435866521508459 0 0 0 0 0 0.435866521508459 + 0 0 0 0 0 0 0 0 + 0.3333333333333333 0 0 0 0 0 0 0 + -0.435866521508459 0 0.435866521508459 0 0 0 0 0 + -0.3045790611944505 0 0.6379123945277838 0 0 0 0 0 + 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 0 + 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 0 + -0.435866521508459 0 0 0 0 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 + 0.2453831999117524 0 0.4204215033044045 0 -1.576992606344066 0 0.9111879031279093 0 Stored stages = 4 @@ -307,36 +331,41 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK46a + type = implicit MRI nmat = 2 - stages = 11 + stages = 12 method order (q) = 4 - embedding order (p) = 0 - c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 + embedding order (p) = 3 + c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 1 G[0] = - 0 0 0 0 0 0 0 0 0 0 0 - 0.2 0 0 0 0 0 0 0 0 0 0 - -0.25 0 0.25 0 0 0 0 0 0 0 0 - 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 - 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 - 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 - 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 - -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 - 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 - -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 - 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0.2 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.25 0 0 0 0 0 0 0 0 0 + 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 0 + 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 0 + 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 0 + 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 0 + -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 0 + 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 0 + -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 0 + 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.6355065879145843 0 -0.2777146751476601 0 -0.4798955020445252 0 0.5009086778736938 0 -0.1288050885960927 0 G[1] = - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 - -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 - -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 - -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 - 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 - -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 - 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 - 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 0 + -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 0 + -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 0 + -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 0 + 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 0 + -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 0 + 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 0 + 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -358,6 +387,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT + type = implicit MRI nmat = 1 stages = 4 method order (q) = 2 @@ -368,6 +398,7 @@ Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -389,15 +420,18 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IRK21a + type = implicit MRI nmat = 1 - stages = 3 + stages = 4 method order (q) = 2 - embedding order (p) = 0 - c = 0 1 1 + embedding order (p) = 1 + c = 0 1 1 1 G[0] = - 0 0 0 - 1 0 0 - -0.5 0 0.5 + 0 0 0 0 + 1 0 0 0 + -0.5 0 0.5 0 + 0 0 0 0 + -0.5 0 0.5 0 Stored stages = 2 @@ -423,6 +457,7 @@ Test IMEX MRI methods ===================== Testing method ARKODE_IMEX_MRI_GARK3a + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -437,6 +472,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a -0.4271371821005074 0 0.1562747733103381 0 0.5529291480359398 0 0 0 0 0 0 0 0 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -447,6 +483,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a 0.435866521508459 0 0.9264299099302395 0 -1.080229692192928 0 0 0 -0.435866521508459 0 0 0 0 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -468,6 +505,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK3b + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -482,6 +520,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1195213959425454 0 -1.843725226689662 0 2.006270569992887 0 0 0 -0.5466585780430528 0 2 0 -1.453341421956947 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -492,6 +531,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1123373143006048 0 1.051807513648115 0 -0.8820780887029493 0 0 0 -0.1123373143006048 0 -0.1253776037178755 0 -0.1981516034899788 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -513,6 +553,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK4 + type = ImEx MRI nmat = 2 stages = 12 method order (q) = 4 @@ -531,6 +572,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.424429547752048 0 2.430325019757162 0 1.905479301151525 0 -1.231139266635725 0 -0.5552355065209142 0 0 0 -0.01044135044479749 0 0.07260303614655074 0 -0.1288275951677261 0 0.1129355350093824 0 -0.04626962554340952 0 0 0 -0.8108522787762101 0 0.2560073199220492 0 0.8068294072697528 0 -0.4557148228721824 0 -0.04626962554340952 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -545,6 +587,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -1.110471013041828 0 0 0 0 0 0 0 1.110471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -559,6 +602,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 3.337028151688726 0 1.547057811385124 0 -4.12988801314935 0 0.9260375565964145 0 -1.555235506520914 0 0 0 -0.8212936292210076 0 0.3286103560686 0 0.6780018121020267 0 -0.3427792878628 0 -0.09253925108681904 0 0.25 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -573,6 +617,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.610471013041828 0 0 0 0 0 0 0 2.610471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -594,6 +639,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_EULER + type = ImEx MRI nmat = 1 stages = 3 method order (q) = 1 @@ -603,11 +649,13 @@ Testing method ARKODE_IMEX_MRI_GARK_EULER 0 0 0 1 0 0 0 0 0 + 0 0 0 G[0] = 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -629,6 +677,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -639,12 +688,14 @@ Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT 0.5 0 0 0 0 0 0 0 -0.5 0 1 0 + 0 0 0 0 G[0] = 0 0 0 0 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -666,6 +717,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -676,12 +728,14 @@ Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL 1 0 0 0 0 0 0 0 -0.5 0 0.5 0 + 0 0 0 0 G[0] = 0 0 0 0 1 0 0 0 -0.5 0 0.5 0 0 0 0 0 + 0 0 0 0 Stored stages = 2 @@ -702,5 +756,391 @@ MRIStep Statistics: Comparing Solver Statistics: All checks passed +================= +Test MERK methods +================= + +Testing method ARKODE_MERK21 + type = MERK + nmat = 2 + stages = 3 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.5 1 + W[0] = + 0 0 0 + 1 0 0 + 1 0 0 + 1 0 0 + + W[1] = + 0 0 0 + 0 0 0 + -2 2 0 + 0 0 0 + + ngroup = 2 + group[0] = 1 3 + group[1] = 2 + Stored stages = 3 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.12939e-07 + Steps = 1 + Fe evals = 2 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK32 + type = MERK + nmat = 2 + stages = 4 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + + W[1] = + 0 0 0 0 + 0 0 0 0 + -2 2 0 0 + -1.5 0 1.5 0 + -2 2 0 0 + + ngroup = 3 + group[0] = 1 + group[1] = 2 4 + group[2] = 3 + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = 4.5532e-10 + Steps = 1 + Fe evals = 3 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK43 + type = MERK + nmat = 3 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.5 0.5 0.3333333333333333 0.8333333333333334 0.3333333333333333 1 + W[0] = + 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 + -2 2 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.200000000000001 0 0 0 -0.7999999999999999 5.000000000000001 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 3.6 0 0 0 2.4 -6 0 + 5.999999999999998 0 12 -18 0 0 0 + + ngroup = 4 + group[0] = 1 + group[1] = 3 2 + group[2] = 5 4 7 + group[3] = 6 + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.19176e-12 + Steps = 1 + Fe evals = 6 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK54 + type = MERK + nmat = 4 + stages = 11 + method order (q) = 5 + embedding order (p) = 4 + c = 0 0.5 0.5 0.3333333333333333 0.5 0.3333333333333333 0.25 0.7 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -4.928571428571431 0 0 0 0 0 0 71.42857142857147 28.00000000000001 -94.50000000000004 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 7.999999999999943 0 0 0 0 0 0 -250.0000000000001 -82.00000000000004 324.0000000000002 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + + W[3] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -4.285714285714278 0 0 0 0 0 0 214.2857142857144 60.00000000000002 -270.0000000000001 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + + ngroup = 5 + group[0] = 1 + group[1] = 3 2 + group[2] = 6 5 4 + group[3] = 8 9 7 11 + group[4] = 10 + Stored stages = 11 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -3.58946e-12 + Steps = 1 + Fe evals = 10 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +======================== +Test IMEX MRI SR methods +======================== + +Testing method ARKODE_IMEX_MRI_SR21 + type = MRISR + nmat = 1 + stages = 4 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.6 0.2666666666666667 1 + W[0] = + 0 0 0 0 + 0.6 0 0 0 + 0.08484848484848485 0.1818181818181818 0 0 + -0.2407407407407407 0.5074074074074074 0.7333333333333333 0 + -0.25 0.5 0.75 0 + + G[0] = + 0 0 0 0 + -0.4782608695652174 0.4782608695652174 0 0 + -0.1277806419583357 -0.3504802276068817 0.4782608695652174 0 + 0.1281737365715925 -0.9496349237862043 0.3432003176493945 0.4782608695652174 + -2.583333333333333 -0.1666666666666667 2.75 0 + + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970445 + Error = 6.56922e-07 + Steps = 1 + Fe evals = 3 + Fi evals = 6 + NLS iters = 3 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR32 + type = MRISR + nmat = 2 + stages = 5 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.6764705882352942 0.8 1.133333333333333 1 + W[0] = + 0 0 0 0 0 + 0.6764705882352942 0 0 0 0 + 1.014285714285714 -0.2142857142857143 0 0 0 + 0.1073593073593074 0.5714285714285714 0.4545454545454545 0 0 + 0.8641357630008525 0.08623188405797101 0.34375 -0.2941176470588235 0 + 1.020324985968944 -1.483870967741935 1.970588235294118 -0.5070422535211268 0 + + W[1] = + 0 0 0 0 0 + 0 0 0 0 0 + -0.2264473168820995 0.2264473168820995 0 0 0 + -1.741503979463316 8.210746794478919 -6.469242815015602 0 0 + -1.295451217034184 2.560595940177763 -2.104988533033297 0.8398438098897179 0 + -1.638681583030989 6.083126027475434 -5.777777777777778 1.333333333333333 0 + + G[0] = + 0 0 0 0 0 + -0.5714285714285714 0.5714285714285714 0 0 0 + -0.8655695979919582 0.2941410265633868 0.5714285714285714 0 0 + 1.211752194844657 -2.237726220818683 0.4545454545454545 0.5714285714285714 0 + 0.02135581474837214 -0.07308298152405064 -0.2010145240388127 -0.3186868806140802 0.5714285714285714 + -0.04323671497584541 0.05514147688060732 0.07142857142857142 -0.08333333333333333 0 + + G[1] = + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + + Stored stages = 5 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -3.76499e-09 + Steps = 1 + Fe evals = 4 + Fi evals = 8 + NLS iters = 4 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR43 + type = MRISR + nmat = 2 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.25 0.75 0.55 0.5 1 1 + W[0] = + 0 0 0 0 0 0 0 + 0.25 0 0 0 0 0 0 + 1.125 -0.375 0 0 0 0 0 + 0.07991452991452991 0.7777777777777778 -0.3076923076923077 0 0 0 0 + 0.3878787878787879 0.1666666666666667 -0.6 0.5454545454545454 0 0 0 + 3.307624927156177 -0.2222222222222222 -0.3636363636363636 -0.1666666666666667 -1.555099674630925 0 0 + 0 0.6363636363636364 -8.344696969696969 13.66792929292929 -7.083333333333333 2.123737373737374 0 + 0.0025 4.083333333333333 7.166666666666667 -0.7 -7.083333333333333 -2.469166666666667 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2.75 2.75 0 0 0 0 0 + -0.4198290598290598 -0.4088888888888889 0.8287179487179487 0 0 0 0 + -0.9169340463458111 0.6549019607843137 1.463235294117647 -1.20120320855615 0 0 0 + -6.615249854312355 7.027777777777778 -0.5227272727272727 25.33333333333333 -25.22313398407148 0 0 + 0 0.8106060606060606 14.64772727272727 -11.71085858585859 0 -3.747474747474747 0 + -0.005 -5.708333333333333 -14.6875 15.4625 0 4.938333333333333 0 + + G[0] = + 0 0 0 0 0 0 0 + -0.25 0.25 0 0 0 0 0 + 0.25 -0.5 0.25 0 0 0 0 + 0.13 -0.2333333333333333 -0.1466666666666667 0.25 0 0 0 + 0.07058823529411765 -0.2213235294117647 -0.1819852941176471 0.08272058823529412 0.25 0 0 + 0 -2.25 -0.3958333333333333 -4.6875 7.083333333333333 0.25 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + G[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -6.94172e-11 + Steps = 1 + Fe evals = 6 + Fi evals = 11 + NLS iters = 5 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + All tests passed! diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_0.out index 4591cb3..b4d2dc4 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_0.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_0.out @@ -14,6 +14,7 @@ Test explicit MRI methods ========================= Testing method ARKODE_MIS_KW3 + type = explicit MRI nmat = 1 stages = 4 method order (q) = 3 @@ -24,6 +25,7 @@ Testing method ARKODE_MIS_KW3 0.3333333333333333 0 0 0 -0.5208333333333333 0.9375 0 0 0.3541666666666666 -0.6375 0.5333333333333333 0 + 0 0 0 0 Stored stages = 3 @@ -40,15 +42,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22a + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.5 1 W[0] = 0 0 0 0.5 0 0 -0.5 1 0 + 0.5 0 0 Stored stages = 2 @@ -65,15 +69,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22b + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 1 1 W[0] = 0 0 0 1 0 0 -0.5 0.5 0 + 0 0 0 Stored stages = 2 @@ -90,22 +96,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK33a + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.3333333333333333 0.6666666666666666 1 W[0] = 0 0 0 0 0.3333333333333333 0 0 0 -0.3333333333333333 0.6666666666666666 0 0 0 -0.6666666666666666 1 0 + 0.08333333333333333 -0.3333333333333333 0.5833333333333334 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 -0.5 0 + 0 0 0 0 Stored stages = 3 @@ -122,10 +131,11 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK45a + type = explicit MRI nmat = 2 stages = 6 method order (q) = 4 - embedding order (p) = 0 + embedding order (p) = 3 c = 0 0.2 0.4 0.6 0.8 1 W[0] = 0 0 0 0 0 0 @@ -134,6 +144,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.5121234603937985 1.955496920787597 -1.243373460393798 0 0 0 -0.1068927211587161 -4.656693056981116 3.994968532757531 0.9686172453823019 0 0 0.911960843690752 -0.1837327083772207 -1.193926866090864 -2.611983006811319 3.277681737588653 0 + -1.858584369075205 2.224667606006969 -0.5244469581796045 -0.09396291472257937 0.45232663597042 0 W[1] = 0 0 0 0 0 0 @@ -142,6 +153,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.0382530792124029 0.6952561584248058 -0.6570030792124029 0 0 0 1.87616694642529 3.003768197383342 -3 -1.879935143808632 0 0 -2.423803191489362 2 1 5 -5.576196808510638 0 + 3.304787234042553 -3.304787234042553 0 0 0 0 Stored stages = 5 @@ -158,6 +170,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_FORWARD_EULER + type = explicit MRI nmat = 1 stages = 2 method order (q) = 1 @@ -166,6 +179,7 @@ Testing method ARKODE_MRI_GARK_FORWARD_EULER W[0] = 0 0 1 0 + 0 0 Stored stages = 1 @@ -182,15 +196,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON2 + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.6666666666666666 1 W[0] = 0 0 0 0.6666666666666666 0 0 -0.4166666666666666 0.75 0 + 0.3333333333333334 0 0 Stored stages = 2 @@ -207,22 +223,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON3 + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.5 0.75 1 W[0] = 0 0 0 0 0.5 0 0 0 -2.75 3 0 0 1.305555555555556 -0.1666666666666667 -0.8888888888888888 0 + 0.025 0.175 0.05 0 W[1] = 0 0 0 0 0 0 0 0 4.5 -4.5 0 0 -2.166666666666667 -0.5 2.666666666666667 0 + 0 0 0 0 Stored stages = 3 @@ -243,6 +262,7 @@ Test implicit MRI methods ========================= Testing method ARKODE_MRI_GARK_BACKWARD_EULER + type = implicit MRI nmat = 1 stages = 3 method order (q) = 1 @@ -252,6 +272,7 @@ Testing method ARKODE_MRI_GARK_BACKWARD_EULER 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -273,19 +294,22 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK34a + type = implicit MRI nmat = 1 - stages = 7 + stages = 8 method order (q) = 3 - embedding order (p) = 0 - c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 + embedding order (p) = 2 + c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 1 G[0] = - 0 0 0 0 0 0 0 - 0.3333333333333333 0 0 0 0 0 0 - -0.435866521508459 0 0.435866521508459 0 0 0 0 - -0.3045790611944505 0 0.6379123945277838 0 0 0 0 - 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 - 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 - -0.435866521508459 0 0 0 0 0 0.435866521508459 + 0 0 0 0 0 0 0 0 + 0.3333333333333333 0 0 0 0 0 0 0 + -0.435866521508459 0 0.435866521508459 0 0 0 0 0 + -0.3045790611944505 0 0.6379123945277838 0 0 0 0 0 + 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 0 + 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 0 + -0.435866521508459 0 0 0 0 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 + 0.2453831999117524 0 0.4204215033044045 0 -1.576992606344066 0 0.9111879031279093 0 Stored stages = 4 @@ -307,36 +331,41 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK46a + type = implicit MRI nmat = 2 - stages = 11 + stages = 12 method order (q) = 4 - embedding order (p) = 0 - c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 + embedding order (p) = 3 + c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 1 G[0] = - 0 0 0 0 0 0 0 0 0 0 0 - 0.2 0 0 0 0 0 0 0 0 0 0 - -0.25 0 0.25 0 0 0 0 0 0 0 0 - 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 - 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 - 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 - 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 - -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 - 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 - -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 - 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0.2 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.25 0 0 0 0 0 0 0 0 0 + 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 0 + 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 0 + 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 0 + 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 0 + -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 0 + 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 0 + -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 0 + 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.6355065879145843 0 -0.2777146751476601 0 -0.4798955020445252 0 0.5009086778736938 0 -0.1288050885960927 0 G[1] = - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 - -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 - -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 - -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 - 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 - -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 - 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 - 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 0 + -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 0 + -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 0 + -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 0 + 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 0 + -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 0 + 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 0 + 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -358,6 +387,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT + type = implicit MRI nmat = 1 stages = 4 method order (q) = 2 @@ -368,6 +398,7 @@ Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -389,15 +420,18 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IRK21a + type = implicit MRI nmat = 1 - stages = 3 + stages = 4 method order (q) = 2 - embedding order (p) = 0 - c = 0 1 1 + embedding order (p) = 1 + c = 0 1 1 1 G[0] = - 0 0 0 - 1 0 0 - -0.5 0 0.5 + 0 0 0 0 + 1 0 0 0 + -0.5 0 0.5 0 + 0 0 0 0 + -0.5 0 0.5 0 Stored stages = 2 @@ -423,6 +457,7 @@ Test IMEX MRI methods ===================== Testing method ARKODE_IMEX_MRI_GARK3a + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -437,6 +472,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a -0.4271371821005074 0 0.1562747733103381 0 0.5529291480359398 0 0 0 0 0 0 0 0 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -447,6 +483,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a 0.435866521508459 0 0.9264299099302395 0 -1.080229692192928 0 0 0 -0.435866521508459 0 0 0 0 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -468,6 +505,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK3b + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -482,6 +520,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1195213959425454 0 -1.843725226689662 0 2.006270569992887 0 0 0 -0.5466585780430528 0 2 0 -1.453341421956947 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -492,6 +531,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1123373143006048 0 1.051807513648115 0 -0.8820780887029493 0 0 0 -0.1123373143006048 0 -0.1253776037178755 0 -0.1981516034899788 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -513,6 +553,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK4 + type = ImEx MRI nmat = 2 stages = 12 method order (q) = 4 @@ -531,6 +572,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.424429547752048 0 2.430325019757162 0 1.905479301151525 0 -1.231139266635725 0 -0.5552355065209142 0 0 0 -0.01044135044479749 0 0.07260303614655074 0 -0.1288275951677261 0 0.1129355350093824 0 -0.04626962554340952 0 0 0 -0.8108522787762101 0 0.2560073199220492 0 0.8068294072697528 0 -0.4557148228721824 0 -0.04626962554340952 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -545,6 +587,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -1.110471013041828 0 0 0 0 0 0 0 1.110471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -559,6 +602,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 3.337028151688726 0 1.547057811385124 0 -4.12988801314935 0 0.9260375565964145 0 -1.555235506520914 0 0 0 -0.8212936292210076 0 0.3286103560686 0 0.6780018121020267 0 -0.3427792878628 0 -0.09253925108681904 0 0.25 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -573,6 +617,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.610471013041828 0 0 0 0 0 0 0 2.610471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -594,6 +639,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_EULER + type = ImEx MRI nmat = 1 stages = 3 method order (q) = 1 @@ -603,11 +649,13 @@ Testing method ARKODE_IMEX_MRI_GARK_EULER 0 0 0 1 0 0 0 0 0 + 0 0 0 G[0] = 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -629,6 +677,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -639,12 +688,14 @@ Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT 0.5 0 0 0 0 0 0 0 -0.5 0 1 0 + 0 0 0 0 G[0] = 0 0 0 0 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -666,6 +717,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -676,12 +728,14 @@ Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL 1 0 0 0 0 0 0 0 -0.5 0 0.5 0 + 0 0 0 0 G[0] = 0 0 0 0 1 0 0 0 -0.5 0 0.5 0 0 0 0 0 + 0 0 0 0 Stored stages = 2 @@ -702,5 +756,391 @@ MRIStep Statistics: Comparing Solver Statistics: All checks passed +================= +Test MERK methods +================= + +Testing method ARKODE_MERK21 + type = MERK + nmat = 2 + stages = 3 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.5 1 + W[0] = + 0 0 0 + 1 0 0 + 1 0 0 + 1 0 0 + + W[1] = + 0 0 0 + 0 0 0 + -2 2 0 + 0 0 0 + + ngroup = 2 + group[0] = 1 3 + group[1] = 2 + Stored stages = 3 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.12939e-07 + Steps = 1 + Fe evals = 2 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK32 + type = MERK + nmat = 2 + stages = 4 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + + W[1] = + 0 0 0 0 + 0 0 0 0 + -2 2 0 0 + -1.5 0 1.5 0 + -2 2 0 0 + + ngroup = 3 + group[0] = 1 + group[1] = 2 4 + group[2] = 3 + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = 4.5532e-10 + Steps = 1 + Fe evals = 3 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK43 + type = MERK + nmat = 3 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.5 0.5 0.3333333333333333 0.8333333333333334 0.3333333333333333 1 + W[0] = + 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 + -2 2 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.200000000000001 0 0 0 -0.7999999999999999 5.000000000000001 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 3.6 0 0 0 2.4 -6 0 + 5.999999999999998 0 12 -18 0 0 0 + + ngroup = 4 + group[0] = 1 + group[1] = 3 2 + group[2] = 5 4 7 + group[3] = 6 + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.19176e-12 + Steps = 1 + Fe evals = 6 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK54 + type = MERK + nmat = 4 + stages = 11 + method order (q) = 5 + embedding order (p) = 4 + c = 0 0.5 0.5 0.3333333333333333 0.5 0.3333333333333333 0.25 0.7 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -4.928571428571431 0 0 0 0 0 0 71.42857142857147 28.00000000000001 -94.50000000000004 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 7.999999999999943 0 0 0 0 0 0 -250.0000000000001 -82.00000000000004 324.0000000000002 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + + W[3] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -4.285714285714278 0 0 0 0 0 0 214.2857142857144 60.00000000000002 -270.0000000000001 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + + ngroup = 5 + group[0] = 1 + group[1] = 3 2 + group[2] = 6 5 4 + group[3] = 8 9 7 11 + group[4] = 10 + Stored stages = 11 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -3.58946e-12 + Steps = 1 + Fe evals = 10 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +======================== +Test IMEX MRI SR methods +======================== + +Testing method ARKODE_IMEX_MRI_SR21 + type = MRISR + nmat = 1 + stages = 4 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.6 0.2666666666666667 1 + W[0] = + 0 0 0 0 + 0.6 0 0 0 + 0.08484848484848485 0.1818181818181818 0 0 + -0.2407407407407407 0.5074074074074074 0.7333333333333333 0 + -0.25 0.5 0.75 0 + + G[0] = + 0 0 0 0 + -0.4782608695652174 0.4782608695652174 0 0 + -0.1277806419583357 -0.3504802276068817 0.4782608695652174 0 + 0.1281737365715925 -0.9496349237862043 0.3432003176493945 0.4782608695652174 + -2.583333333333333 -0.1666666666666667 2.75 0 + + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970445 + Error = 6.56922e-07 + Steps = 1 + Fe evals = 3 + Fi evals = 6 + NLS iters = 3 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR32 + type = MRISR + nmat = 2 + stages = 5 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.6764705882352942 0.8 1.133333333333333 1 + W[0] = + 0 0 0 0 0 + 0.6764705882352942 0 0 0 0 + 1.014285714285714 -0.2142857142857143 0 0 0 + 0.1073593073593074 0.5714285714285714 0.4545454545454545 0 0 + 0.8641357630008525 0.08623188405797101 0.34375 -0.2941176470588235 0 + 1.020324985968944 -1.483870967741935 1.970588235294118 -0.5070422535211268 0 + + W[1] = + 0 0 0 0 0 + 0 0 0 0 0 + -0.2264473168820995 0.2264473168820995 0 0 0 + -1.741503979463316 8.210746794478919 -6.469242815015602 0 0 + -1.295451217034184 2.560595940177763 -2.104988533033297 0.8398438098897179 0 + -1.638681583030989 6.083126027475434 -5.777777777777778 1.333333333333333 0 + + G[0] = + 0 0 0 0 0 + -0.5714285714285714 0.5714285714285714 0 0 0 + -0.8655695979919582 0.2941410265633868 0.5714285714285714 0 0 + 1.211752194844657 -2.237726220818683 0.4545454545454545 0.5714285714285714 0 + 0.02135581474837214 -0.07308298152405064 -0.2010145240388127 -0.3186868806140802 0.5714285714285714 + -0.04323671497584541 0.05514147688060732 0.07142857142857142 -0.08333333333333333 0 + + G[1] = + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + + Stored stages = 5 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -3.76499e-09 + Steps = 1 + Fe evals = 4 + Fi evals = 8 + NLS iters = 4 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR43 + type = MRISR + nmat = 2 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.25 0.75 0.55 0.5 1 1 + W[0] = + 0 0 0 0 0 0 0 + 0.25 0 0 0 0 0 0 + 1.125 -0.375 0 0 0 0 0 + 0.07991452991452991 0.7777777777777778 -0.3076923076923077 0 0 0 0 + 0.3878787878787879 0.1666666666666667 -0.6 0.5454545454545454 0 0 0 + 3.307624927156177 -0.2222222222222222 -0.3636363636363636 -0.1666666666666667 -1.555099674630925 0 0 + 0 0.6363636363636364 -8.344696969696969 13.66792929292929 -7.083333333333333 2.123737373737374 0 + 0.0025 4.083333333333333 7.166666666666667 -0.7 -7.083333333333333 -2.469166666666667 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2.75 2.75 0 0 0 0 0 + -0.4198290598290598 -0.4088888888888889 0.8287179487179487 0 0 0 0 + -0.9169340463458111 0.6549019607843137 1.463235294117647 -1.20120320855615 0 0 0 + -6.615249854312355 7.027777777777778 -0.5227272727272727 25.33333333333333 -25.22313398407148 0 0 + 0 0.8106060606060606 14.64772727272727 -11.71085858585859 0 -3.747474747474747 0 + -0.005 -5.708333333333333 -14.6875 15.4625 0 4.938333333333333 0 + + G[0] = + 0 0 0 0 0 0 0 + -0.25 0.25 0 0 0 0 0 + 0.25 -0.5 0.25 0 0 0 0 + 0.13 -0.2333333333333333 -0.1466666666666667 0.25 0 0 0 + 0.07058823529411765 -0.2213235294117647 -0.1819852941176471 0.08272058823529412 0.25 0 0 + 0 -2.25 -0.3958333333333333 -4.6875 7.083333333333333 0.25 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + G[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -6.94172e-11 + Steps = 1 + Fe evals = 6 + Fi evals = 11 + NLS iters = 5 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + All tests passed! diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_1.out index 5311a51..9f48d82 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_dahlquist_mri_1.out @@ -14,6 +14,7 @@ Test explicit MRI methods ========================= Testing method ARKODE_MIS_KW3 + type = explicit MRI nmat = 1 stages = 4 method order (q) = 3 @@ -24,6 +25,7 @@ Testing method ARKODE_MIS_KW3 0.3333333333333333 0 0 0 -0.5208333333333333 0.9375 0 0 0.3541666666666666 -0.6375 0.5333333333333333 0 + 0 0 0 0 Stored stages = 3 @@ -40,15 +42,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22a + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.5 1 W[0] = 0 0 0 0.5 0 0 -0.5 1 0 + 0.5 0 0 Stored stages = 2 @@ -65,15 +69,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22b + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 1 1 W[0] = 0 0 0 1 0 0 -0.5 0.5 0 + 0 0 0 Stored stages = 2 @@ -90,22 +96,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK33a + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.3333333333333333 0.6666666666666666 1 W[0] = 0 0 0 0 0.3333333333333333 0 0 0 -0.3333333333333333 0.6666666666666666 0 0 0 -0.6666666666666666 1 0 + 0.08333333333333333 -0.3333333333333333 0.5833333333333334 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 -0.5 0 + 0 0 0 0 Stored stages = 3 @@ -122,10 +131,11 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK45a + type = explicit MRI nmat = 2 stages = 6 method order (q) = 4 - embedding order (p) = 0 + embedding order (p) = 3 c = 0 0.2 0.4 0.6 0.8 1 W[0] = 0 0 0 0 0 0 @@ -134,6 +144,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.5121234603937985 1.955496920787597 -1.243373460393798 0 0 0 -0.1068927211587161 -4.656693056981116 3.994968532757531 0.9686172453823019 0 0 0.911960843690752 -0.1837327083772207 -1.193926866090864 -2.611983006811319 3.277681737588653 0 + -1.858584369075205 2.224667606006969 -0.5244469581796045 -0.09396291472257937 0.45232663597042 0 W[1] = 0 0 0 0 0 0 @@ -142,6 +153,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.0382530792124029 0.6952561584248058 -0.6570030792124029 0 0 0 1.87616694642529 3.003768197383342 -3 -1.879935143808632 0 0 -2.423803191489362 2 1 5 -5.576196808510638 0 + 3.304787234042553 -3.304787234042553 0 0 0 0 Stored stages = 5 @@ -158,6 +170,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_FORWARD_EULER + type = explicit MRI nmat = 1 stages = 2 method order (q) = 1 @@ -166,6 +179,7 @@ Testing method ARKODE_MRI_GARK_FORWARD_EULER W[0] = 0 0 1 0 + 0 0 Stored stages = 1 @@ -182,15 +196,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON2 + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.6666666666666666 1 W[0] = 0 0 0 0.6666666666666666 0 0 -0.4166666666666666 0.75 0 + 0.3333333333333334 0 0 Stored stages = 2 @@ -207,22 +223,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON3 + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.5 0.75 1 W[0] = 0 0 0 0 0.5 0 0 0 -2.75 3 0 0 1.305555555555556 -0.1666666666666667 -0.8888888888888888 0 + 0.025 0.175 0.05 0 W[1] = 0 0 0 0 0 0 0 0 4.5 -4.5 0 0 -2.166666666666667 -0.5 2.666666666666667 0 + 0 0 0 0 Stored stages = 3 @@ -243,6 +262,7 @@ Test implicit MRI methods ========================= Testing method ARKODE_MRI_GARK_BACKWARD_EULER + type = implicit MRI nmat = 1 stages = 3 method order (q) = 1 @@ -252,6 +272,7 @@ Testing method ARKODE_MRI_GARK_BACKWARD_EULER 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -273,19 +294,22 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK34a + type = implicit MRI nmat = 1 - stages = 7 + stages = 8 method order (q) = 3 - embedding order (p) = 0 - c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 + embedding order (p) = 2 + c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 1 G[0] = - 0 0 0 0 0 0 0 - 0.3333333333333333 0 0 0 0 0 0 - -0.435866521508459 0 0.435866521508459 0 0 0 0 - -0.3045790611944505 0 0.6379123945277838 0 0 0 0 - 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 - 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 - -0.435866521508459 0 0 0 0 0 0.435866521508459 + 0 0 0 0 0 0 0 0 + 0.3333333333333333 0 0 0 0 0 0 0 + -0.435866521508459 0 0.435866521508459 0 0 0 0 0 + -0.3045790611944505 0 0.6379123945277838 0 0 0 0 0 + 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 0 + 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 0 + -0.435866521508459 0 0 0 0 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 + 0.2453831999117524 0 0.4204215033044045 0 -1.576992606344066 0 0.9111879031279093 0 Stored stages = 4 @@ -307,36 +331,41 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK46a + type = implicit MRI nmat = 2 - stages = 11 + stages = 12 method order (q) = 4 - embedding order (p) = 0 - c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 + embedding order (p) = 3 + c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 1 G[0] = - 0 0 0 0 0 0 0 0 0 0 0 - 0.2 0 0 0 0 0 0 0 0 0 0 - -0.25 0 0.25 0 0 0 0 0 0 0 0 - 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 - 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 - 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 - 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 - -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 - 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 - -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 - 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0.2 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.25 0 0 0 0 0 0 0 0 0 + 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 0 + 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 0 + 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 0 + 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 0 + -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 0 + 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 0 + -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 0 + 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.6355065879145843 0 -0.2777146751476601 0 -0.4798955020445252 0 0.5009086778736938 0 -0.1288050885960927 0 G[1] = - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 - -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 - -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 - -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 - 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 - -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 - 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 - 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 0 + -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 0 + -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 0 + -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 0 + 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 0 + -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 0 + 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 0 + 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -358,6 +387,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT + type = implicit MRI nmat = 1 stages = 4 method order (q) = 2 @@ -368,6 +398,7 @@ Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -389,15 +420,18 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IRK21a + type = implicit MRI nmat = 1 - stages = 3 + stages = 4 method order (q) = 2 - embedding order (p) = 0 - c = 0 1 1 + embedding order (p) = 1 + c = 0 1 1 1 G[0] = - 0 0 0 - 1 0 0 - -0.5 0 0.5 + 0 0 0 0 + 1 0 0 0 + -0.5 0 0.5 0 + 0 0 0 0 + -0.5 0 0.5 0 Stored stages = 2 @@ -423,6 +457,7 @@ Test IMEX MRI methods ===================== Testing method ARKODE_IMEX_MRI_GARK3a + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -437,6 +472,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a -0.4271371821005074 0 0.1562747733103381 0 0.5529291480359398 0 0 0 0 0 0 0 0 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -447,6 +483,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a 0.435866521508459 0 0.9264299099302395 0 -1.080229692192928 0 0 0 -0.435866521508459 0 0 0 0 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -468,6 +505,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK3b + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -482,6 +520,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1195213959425454 0 -1.843725226689662 0 2.006270569992887 0 0 0 -0.5466585780430528 0 2 0 -1.453341421956947 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -492,6 +531,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1123373143006048 0 1.051807513648115 0 -0.8820780887029493 0 0 0 -0.1123373143006048 0 -0.1253776037178755 0 -0.1981516034899788 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -513,6 +553,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK4 + type = ImEx MRI nmat = 2 stages = 12 method order (q) = 4 @@ -531,6 +572,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.424429547752048 0 2.430325019757162 0 1.905479301151525 0 -1.231139266635725 0 -0.5552355065209142 0 0 0 -0.01044135044479749 0 0.07260303614655074 0 -0.1288275951677261 0 0.1129355350093824 0 -0.04626962554340952 0 0 0 -0.8108522787762101 0 0.2560073199220492 0 0.8068294072697528 0 -0.4557148228721824 0 -0.04626962554340952 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -545,6 +587,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -1.110471013041828 0 0 0 0 0 0 0 1.110471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -559,6 +602,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 3.337028151688726 0 1.547057811385124 0 -4.12988801314935 0 0.9260375565964145 0 -1.555235506520914 0 0 0 -0.8212936292210076 0 0.3286103560686 0 0.6780018121020267 0 -0.3427792878628 0 -0.09253925108681904 0 0.25 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -573,6 +617,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.610471013041828 0 0 0 0 0 0 0 2.610471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -594,6 +639,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_EULER + type = ImEx MRI nmat = 1 stages = 3 method order (q) = 1 @@ -603,11 +649,13 @@ Testing method ARKODE_IMEX_MRI_GARK_EULER 0 0 0 1 0 0 0 0 0 + 0 0 0 G[0] = 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -629,6 +677,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -639,12 +688,14 @@ Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT 0.5 0 0 0 0 0 0 0 -0.5 0 1 0 + 0 0 0 0 G[0] = 0 0 0 0 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -666,6 +717,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -676,12 +728,14 @@ Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL 1 0 0 0 0 0 0 0 -0.5 0 0.5 0 + 0 0 0 0 G[0] = 0 0 0 0 1 0 0 0 -0.5 0 0.5 0 0 0 0 0 + 0 0 0 0 Stored stages = 2 @@ -702,5 +756,391 @@ MRIStep Statistics: Comparing Solver Statistics: All checks passed +================= +Test MERK methods +================= + +Testing method ARKODE_MERK21 + type = MERK + nmat = 2 + stages = 3 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.5 1 + W[0] = + 0 0 0 + 1 0 0 + 1 0 0 + 1 0 0 + + W[1] = + 0 0 0 + 0 0 0 + -2 2 0 + 0 0 0 + + ngroup = 2 + group[0] = 1 3 + group[1] = 2 + Stored stages = 3 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.12939e-07 + Steps = 1 + Fe evals = 2 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK32 + type = MERK + nmat = 2 + stages = 4 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + + W[1] = + 0 0 0 0 + 0 0 0 0 + -2 2 0 0 + -1.5 0 1.5 0 + -2 2 0 0 + + ngroup = 3 + group[0] = 1 + group[1] = 2 4 + group[2] = 3 + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = 4.5532e-10 + Steps = 1 + Fe evals = 3 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK43 + type = MERK + nmat = 3 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.5 0.5 0.3333333333333333 0.8333333333333334 0.3333333333333333 1 + W[0] = + 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 + -2 2 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.200000000000001 0 0 0 -0.7999999999999999 5.000000000000001 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 3.6 0 0 0 2.4 -6 0 + 5.999999999999998 0 12 -18 0 0 0 + + ngroup = 4 + group[0] = 1 + group[1] = 3 2 + group[2] = 5 4 7 + group[3] = 6 + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.19176e-12 + Steps = 1 + Fe evals = 6 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK54 + type = MERK + nmat = 4 + stages = 11 + method order (q) = 5 + embedding order (p) = 4 + c = 0 0.5 0.5 0.3333333333333333 0.5 0.3333333333333333 0.25 0.7 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -4.928571428571431 0 0 0 0 0 0 71.42857142857147 28.00000000000001 -94.50000000000004 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 7.999999999999943 0 0 0 0 0 0 -250.0000000000001 -82.00000000000004 324.0000000000002 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + + W[3] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -4.285714285714278 0 0 0 0 0 0 214.2857142857144 60.00000000000002 -270.0000000000001 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + + ngroup = 5 + group[0] = 1 + group[1] = 3 2 + group[2] = 6 5 4 + group[3] = 8 9 7 11 + group[4] = 10 + Stored stages = 11 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -3.58946e-12 + Steps = 1 + Fe evals = 10 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +======================== +Test IMEX MRI SR methods +======================== + +Testing method ARKODE_IMEX_MRI_SR21 + type = MRISR + nmat = 1 + stages = 4 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.6 0.2666666666666667 1 + W[0] = + 0 0 0 0 + 0.6 0 0 0 + 0.08484848484848485 0.1818181818181818 0 0 + -0.2407407407407407 0.5074074074074074 0.7333333333333333 0 + -0.25 0.5 0.75 0 + + G[0] = + 0 0 0 0 + -0.4782608695652174 0.4782608695652174 0 0 + -0.1277806419583357 -0.3504802276068817 0.4782608695652174 0 + 0.1281737365715925 -0.9496349237862043 0.3432003176493945 0.4782608695652174 + -2.583333333333333 -0.1666666666666667 2.75 0 + + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970445 + Error = 6.56922e-07 + Steps = 1 + Fe evals = 3 + Fi evals = 6 + NLS iters = 3 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR32 + type = MRISR + nmat = 2 + stages = 5 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.6764705882352942 0.8 1.133333333333333 1 + W[0] = + 0 0 0 0 0 + 0.6764705882352942 0 0 0 0 + 1.014285714285714 -0.2142857142857143 0 0 0 + 0.1073593073593074 0.5714285714285714 0.4545454545454545 0 0 + 0.8641357630008525 0.08623188405797101 0.34375 -0.2941176470588235 0 + 1.020324985968944 -1.483870967741935 1.970588235294118 -0.5070422535211268 0 + + W[1] = + 0 0 0 0 0 + 0 0 0 0 0 + -0.2264473168820995 0.2264473168820995 0 0 0 + -1.741503979463316 8.210746794478919 -6.469242815015602 0 0 + -1.295451217034184 2.560595940177763 -2.104988533033297 0.8398438098897179 0 + -1.638681583030989 6.083126027475434 -5.777777777777778 1.333333333333333 0 + + G[0] = + 0 0 0 0 0 + -0.5714285714285714 0.5714285714285714 0 0 0 + -0.8655695979919582 0.2941410265633868 0.5714285714285714 0 0 + 1.211752194844657 -2.237726220818683 0.4545454545454545 0.5714285714285714 0 + 0.02135581474837214 -0.07308298152405064 -0.2010145240388127 -0.3186868806140802 0.5714285714285714 + -0.04323671497584541 0.05514147688060732 0.07142857142857142 -0.08333333333333333 0 + + G[1] = + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + + Stored stages = 5 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -3.76499e-09 + Steps = 1 + Fe evals = 4 + Fi evals = 8 + NLS iters = 4 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR43 + type = MRISR + nmat = 2 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.25 0.75 0.55 0.5 1 1 + W[0] = + 0 0 0 0 0 0 0 + 0.25 0 0 0 0 0 0 + 1.125 -0.375 0 0 0 0 0 + 0.07991452991452991 0.7777777777777778 -0.3076923076923077 0 0 0 0 + 0.3878787878787879 0.1666666666666667 -0.6 0.5454545454545454 0 0 0 + 3.307624927156177 -0.2222222222222222 -0.3636363636363636 -0.1666666666666667 -1.555099674630925 0 0 + 0 0.6363636363636364 -8.344696969696969 13.66792929292929 -7.083333333333333 2.123737373737374 0 + 0.0025 4.083333333333333 7.166666666666667 -0.7 -7.083333333333333 -2.469166666666667 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2.75 2.75 0 0 0 0 0 + -0.4198290598290598 -0.4088888888888889 0.8287179487179487 0 0 0 0 + -0.9169340463458111 0.6549019607843137 1.463235294117647 -1.20120320855615 0 0 0 + -6.615249854312355 7.027777777777778 -0.5227272727272727 25.33333333333333 -25.22313398407148 0 0 + 0 0.8106060606060606 14.64772727272727 -11.71085858585859 0 -3.747474747474747 0 + -0.005 -5.708333333333333 -14.6875 15.4625 0 4.938333333333333 0 + + G[0] = + 0 0 0 0 0 0 0 + -0.25 0.25 0 0 0 0 0 + 0.25 -0.5 0.25 0 0 0 0 + 0.13 -0.2333333333333333 -0.1466666666666667 0.25 0 0 0 + 0.07058823529411765 -0.2213235294117647 -0.1819852941176471 0.08272058823529412 0.25 0 0 + 0 -2.25 -0.3958333333333333 -4.6875 7.083333333333333 0.25 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + G[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -6.94172e-11 + Steps = 1 + Fe evals = 6 + Fi evals = 11 + NLS iters = 5 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + All tests passed! diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_0.out index a78e16c..9ca728e 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_0.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_0.out @@ -28,10 +28,10 @@ MRIStep Solver Statistics: Internal solver steps = 1000 Total RHS evals: Fe = 2769 Total linear solver setups = 50 - Total linear iterations = 6250 - Total number of Jacobian-vector products = 6250 + Total linear iterations = 6234 + Total number of Jacobian-vector products = 6234 Total number of Preconditioner setups = 50 - Total number of Preconditioner solves = 6250 + Total number of Preconditioner solves = 6234 Total number of linear solver convergence failures = 0 Total number of Newton iterations = 1768 Total number of nonlinear solver convergence failures = 0 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_1.out index bbf3267..d0a8f73 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_heat2D_mri_1.out @@ -28,10 +28,10 @@ MRIStep Solver Statistics: Internal solver steps = 1000 Total RHS evals: Fe = 2001 Total linear solver setups = 1 - Total linear iterations = 4731 - Total number of Jacobian-vector products = 4731 + Total linear iterations = 4722 + Total number of Jacobian-vector products = 4722 Total number of Preconditioner setups = 1 - Total number of Preconditioner solves = 4731 + Total number of Preconditioner solves = 4722 Total number of linear solver convergence failures = 0 Total number of Newton iterations = 1000 Total number of nonlinear solver convergence failures = 0 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_kpr_mriadapt_--hs_0.002_--rtol_0.000004_--scontrol_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_kpr_mriadapt_--hs_0.002_--rtol_0.000004_--scontrol_0.out new file mode 100644 index 0000000..919af7d --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_kpr_mriadapt_--hs_0.002_--rtol_0.000004_--scontrol_0.out @@ -0,0 +1,45 @@ + +Adaptive multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + G = -100 + w = 100 + e = 0.5 + + Slow integrator: ARKODE_MRI_GARK_ERK45a (explicit) + fixed steps, hs = 0.002 + rtol = 4e-06, atol = 1e-11 + + Fast order 4 + I controller for fast time scale, based on order of RK embedding + fast_rtol = 0.0001, atol = 1e-11 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.732051 1.732051 0.00e+00 0.00e+00 + 0.250000 1.723053 1.584050 5.10e-11 1.74e-10 + 0.500000 1.696344 1.512598 4.30e-11 2.73e-10 + 0.750000 1.652782 1.036015 4.02e-11 3.15e-09 + 1.000000 1.593833 1.458873 3.25e-11 2.89e-09 + 1.250000 1.521618 1.458201 3.35e-11 1.27e-08 + 1.500000 1.439006 1.011474 4.36e-11 6.25e-08 + 1.750000 1.349724 1.730452 3.65e-12 3.67e-09 + 2.000000 1.258512 1.214374 1.24e-11 5.83e-09 + 2.250000 1.171250 1.024071 2.70e-11 1.63e-10 + 2.500000 1.094923 1.471085 4.59e-11 3.37e-13 + 2.750000 1.037158 1.313348 6.43e-11 2.13e-11 + 3.000000 1.004991 1.274175 7.65e-11 2.92e-11 + 3.250000 1.002931 1.043458 7.96e-11 6.41e-12 + 3.500000 1.031282 1.053648 6.81e-11 1.65e-13 + 3.750000 1.086021 1.006374 5.10e-11 3.61e-12 + 4.000000 1.160326 1.571824 3.06e-11 1.90e-11 + 4.250000 1.246560 1.705136 7.61e-12 4.47e-11 + 4.500000 1.337611 1.431830 3.19e-12 5.54e-11 + 4.750000 1.427446 1.162908 1.55e-11 1.82e-10 + 5.000000 1.511179 1.070831 2.51e-11 3.35e-10 + ------------------------------------------------------ + +Final Solver Statistics: + Slow steps = 2500 (attempts = 2500, fails = 0) + Fast steps = 12502 (attempts = 12502, fails = 0) + u error = 4.31846e-11, v error = 9.52053e-09, total error = 6.7321e-09 + Relative accuracy = 0.0160086 + Total RHS evals: Fse = 12500, Fsi = 0, Ff = 62512 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_brusselator.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_brusselator.out new file mode 100644 index 0000000..cfe4438 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_brusselator.out @@ -0,0 +1,114 @@ + +Slow error estimation test (stiff Brusselator ODE problem): + time domain: (0,10] + partition size = 20 + initial conditions: u0 = 1.2, v0 = 3.1, w0 = 3 + problem parameters: a = 1, b = 3.5, ep = 0.0004 + MRI method: ARKODE_MRI_GARK_ERK33a (explicit) + H 0.025 method ARKODE_MRI_GARK_ERK33a t 0.025 dsm 3.18615e+13 dsm_est 2.87651e+09 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 0.525 dsm 837.406 dsm_est 1222.98 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 1.025 dsm 2348.79 dsm_est 726.699 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 1.525 dsm 7973.51 dsm_est 2607.8 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 2.025 dsm 9623.78 dsm_est 2984.3 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 2.525 dsm 8578.19 dsm_est 2152.09 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 3.025 dsm 1758.42 dsm_est 2231.61 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 3.525 dsm 6231.49 dsm_est 2031.06 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 4.025 dsm 581.953 dsm_est 611.637 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 4.525 dsm 18745.1 dsm_est 4370.47 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 5.025 dsm 1260.35 dsm_est 475.824 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 5.525 dsm 883.239 dsm_est 2069.94 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 6.025 dsm 1948.31 dsm_est 14304.8 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 6.525 dsm 61433.5 dsm_est 330405 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 7.025 dsm 742189 dsm_est 1.51629e+06 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 7.525 dsm 9668.21 dsm_est 19961.4 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 8.025 dsm 893.005 dsm_est 6498.9 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 8.525 dsm 844.884 dsm_est 2277.18 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 9.025 dsm 810.509 dsm_est 10912.2 + H 0.025 method ARKODE_MRI_GARK_ERK33a t 9.525 dsm 1454.42 dsm_est 10680.6 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 0.00625 dsm 4.33933e+11 dsm_est 1.53179e+09 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 0.50625 dsm 12.1853 dsm_est 19.2231 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 1.00625 dsm 32.4451 dsm_est 11.3701 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 1.50625 dsm 109.586 dsm_est 40.659 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 2.00625 dsm 131.993 dsm_est 46.7335 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 2.50625 dsm 117.719 dsm_est 33.46 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 3.00625 dsm 24.1579 dsm_est 34.5477 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 3.50625 dsm 85.0006 dsm_est 31.747 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 4.00625 dsm 7.95919 dsm_est 9.62849 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 4.50625 dsm 255.567 dsm_est 68.3015 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 5.00625 dsm 17.322 dsm_est 7.33608 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 5.50625 dsm 12.3537 dsm_est 31.9016 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 6.00625 dsm 25.1474 dsm_est 221.476 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 6.50625 dsm 230.645 dsm_est 5222.75 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 7.00625 dsm 3236.88 dsm_est 24290.4 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 7.50625 dsm 116.715 dsm_est 305.487 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 8.00625 dsm 11.908 dsm_est 101.68 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 8.50625 dsm 13.9795 dsm_est 36.3543 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 9.00625 dsm 10.4298 dsm_est 164.536 + H 0.00625 method ARKODE_MRI_GARK_ERK33a t 9.50625 dsm 18.0339 dsm_est 165.001 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 0.0015625 dsm 4.30937e+09 dsm_est 1.04109e+09 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 0.501563 dsm 0.124019 dsm_est 0.300808 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 1.00156 dsm 0.4016 dsm_est 0.177725 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 1.50156 dsm 1.08417 dsm_est 0.634969 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 2.00156 dsm 1.63593 dsm_est 0.730608 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 2.50156 dsm 1.21684 dsm_est 0.522198 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 3.00156 dsm 0.297567 dsm_est 0.53854 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 3.50156 dsm 0.843901 dsm_est 0.496086 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 4.00156 dsm 0.0984512 dsm_est 0.150722 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 4.50156 dsm 3.172 dsm_est 1.06726 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 5.00156 dsm 0.177228 dsm_est 0.114247 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 5.50156 dsm 0.153004 dsm_est 0.496739 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 6.00156 dsm 0.2503 dsm_est 3.45242 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 6.50156 dsm 0.94962 dsm_est 81.8018 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 7.00156 dsm 12.9921 dsm_est 381.512 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 7.50156 dsm 1.43794 dsm_est 4.74552 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 8.00156 dsm 0.120488 dsm_est 1.58917 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 8.50156 dsm 0.179682 dsm_est 0.571046 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 9.00156 dsm 0.118533 dsm_est 2.54788 + H 0.0015625 method ARKODE_MRI_GARK_ERK33a t 9.50156 dsm 0.220342 dsm_est 2.57065 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 0.000390625 dsm 2.73843e+07 dsm_est 2.97866e+07 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 0.500391 dsm 0.00068624 dsm_est 0.0047023 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 1.00039 dsm 0.00193295 dsm_est 0.00277776 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 1.50039 dsm 0.00652841 dsm_est 0.00992033 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 2.00039 dsm 0.007873 dsm_est 0.0114175 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 2.50039 dsm 0.00699861 dsm_est 0.00815712 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 3.00039 dsm 0.00143196 dsm_est 0.00840977 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 3.50039 dsm 0.00507095 dsm_est 0.00775126 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 4.00039 dsm 0.000473416 dsm_est 0.00235627 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 4.50039 dsm 0.0152611 dsm_est 0.016676 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 5.00039 dsm 0.00103306 dsm_est 0.00178339 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 5.50039 dsm 0.000737183 dsm_est 0.00775511 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 6.00039 dsm 0.00150366 dsm_est 0.0539128 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 6.50039 dsm 0.00386116 dsm_est 1.27888 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 7.00039 dsm 0.0511054 dsm_est 5.9684 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 7.50039 dsm 0.00692145 dsm_est 0.074037 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 8.00039 dsm 0.00073325 dsm_est 0.0248322 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 8.50039 dsm 0.000872562 dsm_est 0.00893466 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 9.00039 dsm 0.000621579 dsm_est 0.0397209 + H 0.000390625 method ARKODE_MRI_GARK_ERK33a t 9.50039 dsm 0.00106005 dsm_est 0.0401378 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 9.76563e-05 dsm 130431 dsm_est 498019 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 0.500098 dsm 3.22403e-06 dsm_est 7.35991e-05 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 1.0001 dsm 8.81057e-06 dsm_est 4.30975e-05 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 1.5001 dsm 2.85071e-05 dsm_est 0.000154738 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 2.0001 dsm 3.50798e-05 dsm_est 0.000177855 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 2.5001 dsm 3.14166e-05 dsm_est 0.000127273 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 3.0001 dsm 6.57531e-06 dsm_est 0.000131139 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 3.5001 dsm 2.19174e-05 dsm_est 0.000120883 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 4.0001 dsm 1.46115e-06 dsm_est 3.65453e-05 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 4.5001 dsm 6.79441e-05 dsm_est 0.000260953 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 5.0001 dsm 4.44856e-06 dsm_est 2.79151e-05 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 5.5001 dsm 3.89141e-06 dsm_est 0.000121321 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 6.0001 dsm 7.43691e-06 dsm_est 0.000842843 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 6.5001 dsm 1.887e-05 dsm_est 0.0199854 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 7.0001 dsm 0.00020015 dsm_est 0.0932838 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 7.5001 dsm 3.10301e-05 dsm_est 0.00115562 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 8.0001 dsm 4.87344e-06 dsm_est 0.00038836 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 8.5001 dsm 3.86449e-06 dsm_est 0.000139579 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 9.0001 dsm 4.17539e-06 dsm_est 0.000619455 + H 9.76563e-05 method ARKODE_MRI_GARK_ERK33a t 9.5001 dsm 4.45287e-06 dsm_est 0.000626933 + +ARKODE_MRI_GARK_ERK33a summary: + Stepsize 0.025 maxdsm 3.18615e+13 maxdsmest 2.87651e+09 + Stepsize 0.00625 maxdsm 4.33933e+11 maxdsmest 1.53179e+09 + Stepsize 0.0015625 maxdsm 4.30937e+09 maxdsmest 1.04109e+09 + Stepsize 0.000390625 maxdsm 2.73843e+07 maxdsmest 2.97866e+07 + Stepsize 9.76563e-05 maxdsm 130431 maxdsmest 498019 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_kpr.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_kpr.out new file mode 100644 index 0000000..87e6b5c --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_kpr.out @@ -0,0 +1,113 @@ + +Slow error estimation test (Nonlinear Kvaerno-Prothero-Robinson problem): + time domain: (0,5] + partition size = 20 + problem parameters: G = -10, e = 0.1, omega = 5 + MRI method: ARKODE_MRI_GARK_ERK33a (explicit) + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 0.0125 dsm 59.7276 dsm_est 727.532 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 0.2625 dsm 159.194 dsm_est 4712.03 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 0.5125 dsm 496.974 dsm_est 33493.8 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 0.7625 dsm 712.688 dsm_est 32624.2 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 1.0125 dsm 1224.36 dsm_est 1716.11 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 1.2625 dsm 5167.32 dsm_est 267128 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 1.5125 dsm 4827.92 dsm_est 54878.4 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 1.7625 dsm 13680.4 dsm_est 176534 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 2.0125 dsm 130.837 dsm_est 49597.7 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 2.2625 dsm 162.492 dsm_est 34976.3 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 2.5125 dsm 287.688 dsm_est 7113.08 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 2.7625 dsm 382.02 dsm_est 4317.48 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 3.0125 dsm 301.235 dsm_est 4949.38 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 3.2625 dsm 258.571 dsm_est 2977.9 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 3.5125 dsm 218.068 dsm_est 1269.3 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 3.7625 dsm 162.764 dsm_est 1320.67 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 4.0125 dsm 130.736 dsm_est 2369.28 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 4.2625 dsm 20.6137 dsm_est 12728.2 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 4.5125 dsm 176.78 dsm_est 15676.7 + H 0.0125 method ARKODE_MRI_GARK_ERK33a t 4.7625 dsm 90.7369 dsm_est 3719.41 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 0.003125 dsm 0.232651 dsm_est 10.9877 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 0.253125 dsm 0.594785 dsm_est 70.8981 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 0.503125 dsm 1.46693 dsm_est 527.764 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 0.753125 dsm 2.86452 dsm_est 520.741 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 1.00313 dsm 4.48531 dsm_est 12.8296 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 1.25313 dsm 37.2232 dsm_est 3954.15 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 1.50313 dsm 17.7805 dsm_est 786.062 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 1.75313 dsm 58.1561 dsm_est 2999.34 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 2.00312 dsm 0.615846 dsm_est 764.348 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 2.25312 dsm 0.208735 dsm_est 542.352 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 2.50312 dsm 1.15342 dsm_est 106.225 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 2.75312 dsm 1.54621 dsm_est 59.6688 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 3.00312 dsm 1.18391 dsm_est 80.2941 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 3.25312 dsm 1.00984 dsm_est 46.1362 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 3.50312 dsm 0.853892 dsm_est 19.4476 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 3.75312 dsm 0.637603 dsm_est 20.4096 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 4.00312 dsm 0.50676 dsm_est 35.5067 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 4.25312 dsm 0.0997811 dsm_est 197.159 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 4.50312 dsm 0.602658 dsm_est 244.1 + H 0.003125 method ARKODE_MRI_GARK_ERK33a t 4.75312 dsm 0.3657 dsm_est 59.8484 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 0.00078125 dsm 0.000906789 dsm_est 0.1702 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 0.250781 dsm 0.00229725 dsm_est 1.09748 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 0.500781 dsm 0.00528907 dsm_est 8.25834 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 0.750781 dsm 0.0112664 dsm_est 8.18019 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 1.00078 dsm 0.0172485 dsm_est 0.149038 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 1.25078 dsm 0.162364 dsm_est 60.7616 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 1.50078 dsm 0.0684956 dsm_est 12.019 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 1.75078 dsm 0.231817 dsm_est 47.8533 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 2.00078 dsm 0.00251159 dsm_est 11.9018 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 2.25078 dsm 0.000388484 dsm_est 8.4539 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 2.50078 dsm 0.00453393 dsm_est 1.64038 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 2.75078 dsm 0.00608412 dsm_est 0.901588 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 3.00078 dsm 0.00463348 dsm_est 1.26635 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 3.25078 dsm 0.00394414 dsm_est 0.719303 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 3.50078 dsm 0.00333765 dsm_est 0.302408 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 3.75078 dsm 0.00249229 dsm_est 0.318005 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 4.00078 dsm 0.00197527 dsm_est 0.548996 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 4.25078 dsm 0.000423031 dsm_est 3.07331 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 4.50078 dsm 0.00226465 dsm_est 3.80981 + H 0.00078125 method ARKODE_MRI_GARK_ERK33a t 4.75078 dsm 0.00143499 dsm_est 0.942031 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 0.000195313 dsm 2.85013e-06 dsm_est 0.00265424 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 0.250195 dsm 9.05953e-06 dsm_est 0.0171084 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 0.500195 dsm 2.05759e-05 dsm_est 0.129079 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 0.750195 dsm 4.6605e-05 dsm_est 0.127987 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 1.0002 dsm 6.66547e-05 dsm_est 0.00213263 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 1.2502 dsm 0.000653038 dsm_est 0.945246 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 1.5002 dsm 0.000267427 dsm_est 0.186783 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 1.7502 dsm 0.000909834 dsm_est 0.751614 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 2.0002 dsm 1.02331e-05 dsm_est 0.185807 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 2.2502 dsm 1.54333e-06 dsm_est 0.132009 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 2.5002 dsm 1.7004e-05 dsm_est 0.0255566 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 2.7502 dsm 2.75731e-05 dsm_est 0.0139673 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 3.0002 dsm 1.60122e-05 dsm_est 0.0198318 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 3.2502 dsm 1.59604e-05 dsm_est 0.0112328 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 3.5002 dsm 1.2611e-05 dsm_est 0.00471821 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 3.7502 dsm 1.0072e-05 dsm_est 0.00496521 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 4.0002 dsm 7.64165e-06 dsm_est 0.00855534 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 4.2502 dsm 3.12732e-06 dsm_est 0.0479914 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 4.5002 dsm 6.25467e-06 dsm_est 0.0595107 + H 0.000195313 method ARKODE_MRI_GARK_ERK33a t 4.7502 dsm 1.05712e-05 dsm_est 0.0147462 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 4.88281e-05 dsm 2.01535e-06 dsm_est 4.1115e-05 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 0.250049 dsm 0 dsm_est 0.000267507 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 0.500049 dsm 1.50297e-06 dsm_est 0.00201586 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 0.750049 dsm 1.49086e-06 dsm_est 0.00200068 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 1.00005 dsm 9.78971e-07 dsm_est 3.2652e-05 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 1.25005 dsm 3.17142e-06 dsm_est 0.0147541 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 1.50005 dsm 2.18254e-06 dsm_est 0.0029151 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 1.75005 dsm 2.39243e-06 dsm_est 0.0117588 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 2.00005 dsm 1.0054e-06 dsm_est 0.00290265 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 2.25005 dsm 2.03676e-06 dsm_est 0.00206178 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 2.50005 dsm 3.37798e-06 dsm_est 0.000398446 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 2.75005 dsm 4.72989e-06 dsm_est 0.000217912 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 3.00005 dsm 6.95491e-06 dsm_est 0.000310377 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 3.25005 dsm 1.55004e-06 dsm_est 0.000175458 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 3.50005 dsm 9.19766e-07 dsm_est 7.37004e-05 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 3.75005 dsm 0 dsm_est 7.66833e-05 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 4.00005 dsm 1.08798e-06 dsm_est 0.000134086 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 4.25005 dsm 3.12694e-06 dsm_est 0.000748179 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 4.50005 dsm 1.16508e-06 dsm_est 0.000930348 + H 4.88281e-05 method ARKODE_MRI_GARK_ERK33a t 4.75005 dsm 6.40365e-06 dsm_est 0.000231401 + +ARKODE_MRI_GARK_ERK33a summary: + Stepsize 0.0125 maxdsm 13680.4 maxdsmest 267128 + Stepsize 0.003125 maxdsm 58.1561 maxdsmest 3954.15 + Stepsize 0.00078125 maxdsm 0.231817 maxdsmest 60.7616 + Stepsize 0.000195313 maxdsm 0.000909834 maxdsmest 0.945246 + Stepsize 4.88281e-05 maxdsm 6.95491e-06 maxdsmest 0.0147541 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_polynomial.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_polynomial.out new file mode 100644 index 0000000..25faa25 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/ark_test_slowerror_polynomial.out @@ -0,0 +1,9 @@ + +Slow error estimation test (polynomial ODE problem): + problem parameters: a = 1, b = 1, c = 1 + MRI method: ARKODE_MRI_GARK_ERK22a (explicit) + H 0.01000 dsm 8.17e+02 dsm_est 4.93e+05 dsm_anal 8.17e+02 dsm_est_anal 4.93e+05 + H 0.00500 dsm 1.03e+02 dsm_est 1.23e+05 dsm_anal 1.03e+02 dsm_est_anal 1.23e+05 + H 0.00250 dsm 1.29e+01 dsm_est 3.09e+04 dsm_anal 1.29e+01 dsm_est_anal 3.09e+04 + H 0.00125 dsm 1.61e+00 dsm_est 7.73e+03 dsm_anal 1.61e+00 dsm_est_anal 7.73e+03 + H 0.00063 dsm 2.01e-01 dsm_est 1.93e+03 dsm_anal 2.01e-01 dsm_est_anal 1.93e+03 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/test_fsunnonlinsol_fixedpoint_mod.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/test_fsunnonlinsol_fixedpoint_mod.out index 5894353..309899a 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/test_fsunnonlinsol_fixedpoint_mod.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/double/test_fsunnonlinsol_fixedpoint_mod.out @@ -1,11 +1,11 @@ - fixedpoint SUNNonlinearSolver Fortran 2003 interface test + SUNNonlinearSolver_FixedPoint Fortran 2003 interface test +Number of nonlinear iterations: 4 Solution: -y1 = 0.5000000E+00 -y2 = -0.7799540E-09 -y3 = -0.5235983E+00 + x = 0.4996970E+00 + y = 0.9998057E+00 + z = -0.5256414E+00 Solution Error: -e1 = -0.1578304E-10 -e2 = -0.7799540E-09 -e3 = 0.4646327E-06 -Number of nonlinear iterations:4 + ex = -0.3029504E-03 + ey = -0.1943083E-03 + ez = -0.2042574E-02 SUCCESS: all unit tests passed diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_brusselator_1D_mri.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_brusselator_1D_mri.out index 337fca6..143bbb3 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_brusselator_1D_mri.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_brusselator_1D_mri.out @@ -11,111 +11,111 @@ 0.200000 1.107274 3.488033 3.499999 0.300000 1.141297 3.443324 3.499999 0.400000 1.181917 3.389485 3.499999 - 0.500000 1.230104 3.325426 3.499999 - 0.600000 1.286703 3.250199 3.499999 - 0.700000 1.351625 3.163815 3.499999 - 0.800000 1.423319 3.067485 3.499999 - 0.900000 1.497829 2.964256 3.499999 - 1.000000 1.568835 2.858686 3.499999 - 1.100000 1.628710 2.756266 3.499999 - 1.200000 1.671213 2.661638 3.499998 - 1.300000 1.693172 2.578004 3.499998 - 1.400000 1.694703 2.507048 3.499998 - 1.500000 1.678111 2.449521 3.499998 - 1.600000 1.646600 2.405572 3.499998 - 1.700000 1.603395 2.375165 3.499998 - 1.800000 1.551370 2.358187 3.499997 - 1.900000 1.493003 2.354432 3.499997 - 2.000000 1.430101 2.363568 3.499997 - 2.100000 1.364376 2.385090 3.499997 - 2.200000 1.297160 2.418241 3.499998 - 2.300000 1.229467 2.462062 3.499998 - 2.400000 1.162236 2.515290 3.499999 - 2.500000 1.096019 2.576657 3.499999 - 2.600000 1.031411 2.644639 3.500000 - 2.700000 0.968836 2.717729 3.500000 - 2.799999 0.908405 2.794762 3.500000 - 2.899999 0.850201 2.874732 3.500000 - 2.999999 0.794643 2.956299 3.500000 - 3.099999 0.741665 3.038978 3.500000 - 3.199999 0.691515 3.122018 3.500000 - 3.299999 0.644327 3.205017 3.500000 - 3.399999 0.600299 3.287604 3.500000 - 3.499999 0.559537 3.369693 3.500000 - 3.599999 0.522298 3.450946 3.500000 - 3.699999 0.488686 3.531327 3.500000 - 3.799999 0.458803 3.610729 3.500000 - 3.899998 0.432730 3.688920 3.500000 - 3.999998 0.410337 3.766021 3.500000 - 4.099998 0.391496 3.841908 3.500000 - 4.199998 0.375920 3.916790 3.500000 - 4.299998 0.363378 3.990309 3.500000 - 4.399998 0.353484 4.062668 3.500000 - 4.499998 0.345866 4.134063 3.500000 - 4.599998 0.340198 4.204475 3.499999 - 4.699998 0.336178 4.273860 3.499999 - 4.799998 0.333524 4.342361 3.499995 - 4.899998 0.332008 4.410094 3.499999 - 4.999998 0.331441 4.477240 3.500000 - 5.099998 0.331677 4.543763 3.500001 - 5.199997 0.332591 4.609483 3.499996 - 5.299997 0.334086 4.674470 3.499999 - 5.399997 0.336087 4.738718 3.500000 - 5.499997 0.338550 4.802478 3.500000 - 5.599997 0.341428 4.865523 3.500000 - 5.699997 0.344695 4.927849 3.500000 - 5.799997 0.348341 4.989510 3.499998 - 5.899997 0.352345 5.050213 3.499996 - 5.999997 0.356721 5.110117 3.499998 - 6.099997 0.361483 5.169188 3.500000 - 6.199996 0.366656 5.227383 3.499998 - 6.299996 0.372293 5.284857 3.499997 - 6.399996 0.378379 5.340961 3.499995 - 6.499996 0.385006 5.395988 3.500002 - 6.599996 0.392241 5.449784 3.499999 - 6.699996 0.400155 5.502118 3.500001 - 6.799996 0.408829 5.552683 3.499998 - 6.899996 0.418432 5.601485 3.500003 - 6.999996 0.429185 5.648437 3.499999 - 7.099996 0.441175 5.692626 3.500003 - 7.199996 0.454839 5.734168 3.499998 - 7.299995 0.470530 5.772281 3.499999 - 7.399995 0.488786 5.806169 3.499998 - 7.499995 0.510476 5.834893 3.499997 - 7.599995 0.536751 5.856871 3.499998 - 7.699995 0.569453 5.869881 3.499997 - 7.799995 0.611626 5.870475 3.499997 - 7.899995 0.668723 5.852884 3.499993 - 7.999995 0.751871 5.806301 3.499996 - 8.099995 0.884944 5.709272 3.499998 - 8.199995 1.134221 5.510810 3.499998 - 8.299995 1.703119 5.089229 3.499998 - 8.399996 2.800576 4.394811 3.499995 - 8.499996 3.567254 3.762491 3.499990 - 8.599997 3.873904 3.193485 3.499985 - 8.699997 4.010218 2.599792 3.499988 - 8.799997 4.098458 1.893756 3.499988 - 8.899998 4.177044 1.126243 3.499987 - 8.999998 4.043281 0.886252 3.499982 - 9.099998 3.722134 0.932025 3.499987 - 9.199999 3.396536 1.007215 3.499989 - 9.299999 3.091249 1.090921 3.499987 - 9.400000 2.809290 1.180713 3.499988 - 9.500000 2.548316 1.276546 3.499990 - 9.600000 2.306378 1.378397 3.499990 - 9.700001 2.082776 1.485622 3.499993 - 9.800001 1.875927 1.597816 3.499995 - 9.900002 1.683073 1.715330 3.499993 - 10.000000 1.504987 1.836414 3.499990 + 0.500000 1.230113 3.325414 3.499999 + 0.600000 1.286700 3.250204 3.499999 + 0.700000 1.351588 3.163866 3.499999 + 0.800000 1.423253 3.067575 3.499999 + 0.900000 1.497770 2.964339 3.499999 + 1.000000 1.568759 2.858805 3.499999 + 1.100000 1.628650 2.756379 3.499999 + 1.200000 1.671192 2.661693 3.499998 + 1.300000 1.693168 2.578026 3.499998 + 1.400000 1.694700 2.507032 3.499998 + 1.500000 1.678089 2.449479 3.499998 + 1.600000 1.646573 2.405546 3.499998 + 1.700000 1.603366 2.375151 3.499997 + 1.800000 1.551320 2.358178 3.499997 + 1.900000 1.492808 2.354442 3.499997 + 2.000000 1.429935 2.363608 3.499997 + 2.100000 1.364255 2.385140 3.499998 + 2.200000 1.297015 2.418324 3.499998 + 2.300000 1.229290 2.462189 3.499998 + 2.400000 1.161966 2.515522 3.499999 + 2.500000 1.095830 2.576844 3.499999 + 2.600000 1.031236 2.644835 3.500000 + 2.700000 0.968613 2.718002 3.500000 + 2.799999 0.908185 2.795055 3.500000 + 2.899999 0.850131 2.874833 3.500000 + 2.999999 0.794633 2.956315 3.500000 + 3.099999 0.741741 3.038856 3.500000 + 3.199999 0.691599 3.121875 3.500000 + 3.299999 0.644375 3.204930 3.500000 + 3.399999 0.600279 3.287643 3.500000 + 3.499999 0.559481 3.369809 3.500000 + 3.599999 0.522250 3.451057 3.500000 + 3.699999 0.488615 3.531505 3.500000 + 3.799999 0.458779 3.610799 3.500000 + 3.899998 0.432685 3.689060 3.500000 + 3.999998 0.410307 3.766128 3.500000 + 4.099998 0.391466 3.842040 3.500000 + 4.199998 0.375943 3.916671 3.500000 + 4.299998 0.363402 3.990150 3.500000 + 4.399998 0.353484 4.062665 3.499999 + 4.499998 0.345868 4.134034 3.500000 + 4.599998 0.340191 4.204589 3.499999 + 4.699998 0.336170 4.274006 3.499998 + 4.799998 0.333517 4.342606 3.500000 + 4.899998 0.332004 4.410324 3.500000 + 4.999998 0.331441 4.477282 3.499999 + 5.099998 0.331675 4.543597 3.500000 + 5.199997 0.332585 4.609205 3.499999 + 5.299997 0.334080 4.674260 3.500005 + 5.399997 0.336083 4.738599 3.500000 + 5.499997 0.338542 4.802298 3.500000 + 5.599997 0.341419 4.865345 3.500000 + 5.699997 0.344688 4.927726 3.499999 + 5.799997 0.348335 4.989410 3.499998 + 5.899997 0.352352 5.050319 3.499997 + 5.999997 0.356733 5.110278 3.499991 + 6.099997 0.361502 5.169412 3.499997 + 6.199996 0.366681 5.227658 3.500001 + 6.299996 0.372231 5.284258 3.499996 + 6.399996 0.378342 5.340631 3.500000 + 6.499996 0.384943 5.395480 3.499998 + 6.599996 0.392160 5.449212 3.500001 + 6.699996 0.400054 5.501487 3.499999 + 6.799996 0.408724 5.552106 3.500000 + 6.899996 0.418324 5.600973 3.500003 + 6.999996 0.428965 5.647545 3.499999 + 7.099996 0.440953 5.691876 3.500004 + 7.199996 0.454553 5.733382 3.499998 + 7.299995 0.470181 5.771528 3.500001 + 7.399995 0.488427 5.805596 3.499997 + 7.499995 0.509992 5.834369 3.499996 + 7.599995 0.536047 5.856432 3.499994 + 7.699995 0.568606 5.869703 3.499999 + 7.799995 0.610495 5.870638 3.499997 + 7.899995 0.667336 5.853487 3.499993 + 7.999995 0.749346 5.807943 3.499999 + 8.099995 0.881369 5.712045 3.499995 + 8.199995 1.126820 5.516679 3.499996 + 8.299995 1.682850 5.103176 3.499994 + 8.399996 2.767308 4.415902 3.499994 + 8.499996 3.550179 3.783419 3.499990 + 8.599997 3.866164 3.216016 3.499987 + 8.699997 4.006948 2.620536 3.499987 + 8.799997 4.095633 1.918759 3.499986 + 8.899998 4.175776 1.150239 3.499984 + 8.999998 4.055773 0.886682 3.499978 + 9.099998 3.739108 0.928560 3.499991 + 9.199999 3.410867 1.003599 3.499984 + 9.299999 3.104039 1.087149 3.499989 + 9.400000 2.821226 1.176641 3.499989 + 9.500000 2.561347 1.271436 3.499992 + 9.600000 2.320220 1.372194 3.499991 + 9.700001 2.095754 1.479019 3.499990 + 9.800001 1.886552 1.591721 3.499995 + 9.900002 1.692944 1.708987 3.499993 + 10.000000 1.514347 1.829725 3.499993 ---------------------------------------------- Final Solver Statistics: Slow Steps: nsts = 1000 - Fast Steps: nstf = 37271 (attempted = 37283) - Total RHS evals: Fs = 3001, Ff = 322551 - Total number of fast error test failures = 12 - Total linear solver setups = 5866 + Fast Steps: nstf = 37028 (attempted = 37046) + Total RHS evals: Fs = 3001, Ff = 317918 + Total number of fast error test failures = 18 + Total linear solver setups = 5673 Total RHS evals for setting up the linear system = 0 - Total number of Jacobian evaluations = 700 - Total number of Newton iterations = 210599 - Total number of nonlinear solver convergence failures = 63 + Total number of Jacobian evaluations = 696 + Total number of Newton iterations = 206677 + Total number of nonlinear solver convergence failures = 73 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_0_1_0.005.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_0_1_0.005.out new file mode 100644 index 0000000..6705ad6 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_0_1_0.005.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.005 + hf = 5e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: none + fast solver: esdirk-3-3 + reltol = 1.25e-07, abstol = 1.00e-11 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223736 1.077469 1.08e-05 4.89e-06 + 0.200000 1.220649 1.551773 1.98e-05 2.65e-05 + 0.300000 1.215595 1.467773 1.31e-06 3.54e-05 + 0.400000 1.208511 1.154666 1.29e-05 8.34e-05 + 0.500000 1.199484 1.721889 1.22e-05 1.92e-05 + 0.600000 1.188565 1.023613 7.99e-06 9.51e-05 + 0.700000 1.175754 1.622735 9.89e-06 1.35e-05 + 0.800000 1.161167 1.374659 1.96e-05 2.41e-05 + 0.900000 1.144892 1.245805 1.18e-05 4.46e-05 + 1.000000 1.127000 1.691804 1.03e-05 3.73e-05 + 1.100000 1.107594 0.999800 1.48e-05 6.90e-04 + 1.200000 1.086806 1.677551 1.45e-05 2.03e-06 + 1.300000 1.064749 1.277413 2.79e-05 3.68e-04 + 1.400000 1.041619 1.342164 6.20e-06 2.86e-04 + 1.500000 1.017530 1.642983 7.15e-07 3.68e-05 + 1.600000 0.992678 1.011664 5.25e-06 4.44e-04 + 1.700000 0.967249 1.711913 4.05e-06 2.14e-03 + 1.800000 0.941503 1.182845 1.50e-05 1.03e-03 + 1.900000 0.915630 1.436521 1.22e-05 9.34e-04 + 2.000000 0.889906 1.575304 3.70e-06 1.79e-03 + 2.100000 0.864642 1.057330 1.65e-05 8.67e-04 + 2.200000 0.840095 1.728855 6.32e-06 2.07e-03 + 2.300000 0.816636 1.101527 1.96e-05 4.80e-04 + 2.400000 0.794552 1.524182 5.72e-06 8.74e-04 + 2.500000 0.774243 1.492940 1.50e-05 4.04e-03 + 2.600000 0.756023 1.127660 1.04e-05 7.94e-04 + 2.700000 0.740244 1.721926 2.26e-06 5.61e-03 + 2.799999 0.727269 1.039987 2.16e-05 1.61e-03 + 2.899999 0.717292 1.597201 9.48e-06 3.57e-03 + 2.999999 0.710649 1.404190 1.24e-05 2.17e-03 + 3.099999 0.707406 1.215237 6.56e-06 8.53e-04 + 3.199999 0.707699 1.699281 1.03e-05 4.73e-03 + 3.299999 0.711522 1.007366 2.03e-06 2.98e-03 + 3.399999 0.718722 1.657549 2.72e-05 3.70e-03 + 3.499999 0.729227 1.309512 5.96e-07 5.45e-04 + 3.599999 0.742687 1.310516 2.47e-05 3.92e-04 + 3.699999 0.758886 1.657259 2.72e-05 3.95e-03 + 3.799999 0.777493 1.008093 1.34e-05 3.70e-03 + 3.899998 0.798106 1.700135 3.80e-05 3.90e-03 + 3.999998 0.820458 1.215281 1.57e-05 9.61e-04 + 4.099998 0.844109 1.406070 3.99e-05 3.42e-04 + 4.199998 0.868793 1.597605 3.92e-05 3.13e-03 + 4.299998 0.894171 1.042195 3.22e-05 3.78e-03 + 4.399998 0.919917 1.723480 4.66e-05 4.06e-03 + 4.499998 0.945817 1.129179 1.65e-05 2.36e-03 + 4.599998 0.971512 1.495827 4.51e-05 1.22e-03 + 4.699998 0.996866 1.522776 3.12e-05 2.23e-03 + 4.799998 1.021598 1.104421 4.18e-05 3.33e-03 + 4.899998 1.045556 1.726785 3.28e-05 4.13e-03 + 4.999998 1.068548 1.060003 1.68e-05 3.58e-03 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 1000, nstf = 99791 + u error = 2.093e-05, v error = 2.325e-03, total error = 1.644e-03 + Total RHS evals: Fs = 2001, Ff = 0 + Fast Newton iters = 250878 + Fast Newton conv fails = 0 + Fast Jacobian evals = 1658 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_11_2_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_11_2_0.001.out new file mode 100644 index 0000000..082e55d --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_11_2_0.001.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_IMEX_MRI_SR21 + reltol = 1.00e-06, abstol = 1.00e-11 + fast solver: ARKODE_HEUN_EULER_2_1_2 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223697 1.077478 2.74e-05 1.42e-05 + 0.200000 1.220672 1.551822 2.62e-06 2.21e-05 + 0.300000 1.215553 1.468080 4.08e-05 3.42e-04 + 0.400000 1.208496 1.155302 2.81e-05 7.19e-04 + 0.500000 1.199511 1.721812 1.45e-05 9.61e-05 + 0.600000 1.188513 1.024341 4.40e-05 8.24e-04 + 0.700000 1.175763 1.622729 9.54e-07 1.97e-05 + 0.800000 1.161160 1.371913 2.67e-05 2.72e-03 + 0.900000 1.144923 1.244954 1.88e-05 8.07e-04 + 1.000000 1.126965 1.686522 4.49e-05 5.32e-03 + 1.100000 1.107586 1.002415 2.32e-05 1.92e-03 + 1.200000 1.086808 1.672967 1.24e-05 4.58e-03 + 1.300000 1.064766 1.277102 1.04e-05 6.78e-04 + 1.400000 1.041579 1.341653 4.64e-05 7.97e-04 + 1.500000 1.017496 1.638923 3.48e-05 4.02e-03 + 1.600000 0.992738 1.021924 6.44e-05 9.82e-03 + 1.700000 0.967300 1.709558 4.71e-05 4.50e-03 + 1.800000 0.941579 1.189392 9.14e-05 5.52e-03 + 1.900000 0.915672 1.438450 5.50e-05 9.95e-04 + 2.000000 0.889957 1.574436 5.41e-05 2.65e-03 + 2.100000 0.864700 1.064688 7.50e-05 8.22e-03 + 2.200000 0.840122 1.725321 3.33e-05 5.60e-03 + 2.300000 0.816698 1.107610 8.17e-05 6.56e-03 + 2.400000 0.794577 1.523702 3.09e-05 1.35e-03 + 2.500000 0.774298 1.495203 7.06e-05 1.78e-03 + 2.600000 0.756082 1.137035 6.93e-05 1.02e-02 + 2.700000 0.740281 1.718975 3.47e-05 8.56e-03 + 2.799999 0.727314 1.050133 6.69e-05 1.18e-02 + 2.899999 0.717302 1.596247 5.36e-07 4.53e-03 + 2.999999 0.710699 1.406496 6.23e-05 1.38e-04 + 3.099999 0.707422 1.221370 9.48e-06 6.99e-03 + 3.199999 0.707697 1.695379 1.26e-05 8.64e-03 + 3.299999 0.711528 1.017497 8.34e-06 1.31e-02 + 3.399999 0.718659 1.648754 8.99e-05 1.25e-02 + 3.499999 0.729209 1.310589 1.80e-05 5.31e-04 + 3.599999 0.742631 1.312460 8.07e-05 2.34e-03 + 3.699999 0.758835 1.648336 7.83e-05 1.29e-02 + 3.799999 0.777458 1.018749 4.80e-05 1.44e-02 + 3.899998 0.798010 1.690437 1.34e-04 1.36e-02 + 3.999998 0.820423 1.219466 5.10e-05 5.15e-03 + 4.099998 0.844004 1.408691 1.45e-04 2.28e-03 + 4.199998 0.868711 1.591325 1.21e-04 9.41e-03 + 4.299998 0.894105 1.058471 9.88e-05 2.01e-02 + 4.399998 0.919802 1.712317 1.62e-04 1.52e-02 + 4.499998 0.945780 1.140763 5.34e-05 1.39e-02 + 4.599998 0.971389 1.493890 1.68e-04 3.15e-03 + 4.699998 0.996792 1.518551 1.06e-04 6.45e-03 + 4.799998 1.021559 1.117610 8.13e-05 1.65e-02 + 4.899998 1.045426 1.714691 1.62e-04 1.62e-02 + 4.999998 1.068496 1.075871 6.85e-05 1.94e-02 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5001, nstf = 895063 + u error = 7.246e-05, v error = 8.538e-03, total error = 6.038e-03 + Total RHS evals: Fse = 15004, Fsi = 33186, Ff = 1795177 + Slow Newton iters = 18182 + Slow Newton conv fails = 0 + Slow Jacobian evals = 251 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_12_3_0.005.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_12_3_0.005.out new file mode 100644 index 0000000..7ded814 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_12_3_0.005.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.005 + hf = 5e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_IMEX_MRI_SR32 + reltol = 1.25e-07, abstol = 1.00e-11 + fast solver: erk-3-3 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223724 1.077470 2.38e-07 6.44e-06 + 0.200000 1.220668 1.551807 1.07e-06 7.03e-06 + 0.300000 1.215595 1.467775 1.67e-06 3.74e-05 + 0.400000 1.208522 1.154666 2.50e-06 8.32e-05 + 0.500000 1.199495 1.721895 1.43e-06 1.30e-05 + 0.600000 1.188558 1.023615 1.43e-06 9.74e-05 + 0.700000 1.175765 1.622743 9.54e-07 5.72e-06 + 0.800000 1.161185 1.374664 1.55e-06 2.98e-05 + 0.900000 1.144902 1.245803 2.26e-06 4.27e-05 + 1.000000 1.127010 1.691809 2.38e-07 3.24e-05 + 1.100000 1.107609 1.000476 1.19e-07 1.38e-05 + 1.200000 1.086816 1.677598 4.41e-06 4.85e-05 + 1.300000 1.064773 1.277688 3.93e-06 9.24e-05 + 1.400000 1.041625 1.342534 1.19e-07 8.46e-05 + 1.500000 1.017523 1.642885 7.99e-06 6.14e-05 + 1.600000 0.992674 1.012114 4.17e-07 4.89e-06 + 1.700000 0.967249 1.714071 3.76e-06 1.60e-05 + 1.800000 0.941484 1.183779 3.22e-06 9.82e-05 + 1.900000 0.915616 1.437529 1.73e-06 7.44e-05 + 2.000000 0.889907 1.577018 4.35e-06 7.20e-05 + 2.100000 0.864630 1.057080 5.13e-06 6.16e-04 + 2.200000 0.840092 1.730609 2.62e-06 3.12e-04 + 2.300000 0.816623 1.101561 6.56e-06 5.14e-04 + 2.400000 0.794542 1.524993 3.46e-06 6.33e-05 + 2.500000 0.774221 1.496942 6.56e-06 4.08e-05 + 2.600000 0.756011 1.127319 2.09e-06 4.53e-04 + 2.700000 0.740242 1.727168 3.52e-06 3.67e-04 + 2.799999 0.727245 1.038939 2.32e-06 5.57e-04 + 2.899999 0.717298 1.600580 2.74e-06 1.95e-04 + 2.999999 0.710632 1.406403 3.81e-06 4.49e-05 + 3.099999 0.707415 1.214685 2.32e-06 3.01e-04 + 3.199999 0.707704 1.703650 5.25e-06 3.65e-04 + 3.299999 0.711526 1.004955 6.56e-06 5.70e-04 + 3.399999 0.718747 1.660928 2.09e-06 3.21e-04 + 3.499999 0.729228 1.310204 1.37e-06 1.47e-04 + 3.599999 0.742719 1.310275 7.87e-06 1.51e-04 + 3.699999 0.758904 1.660426 9.42e-06 7.81e-04 + 3.799999 0.777506 1.010437 2.98e-07 6.04e-03 + 3.899998 0.798118 1.703153 2.59e-05 8.85e-04 + 3.999998 0.820473 1.217005 1.37e-06 2.68e-03 + 4.099998 0.844123 1.408677 2.61e-05 2.26e-03 + 4.199998 0.868814 1.599503 1.79e-05 1.23e-03 + 4.299998 0.894191 1.043597 1.20e-05 5.18e-03 + 4.399998 0.919933 1.725517 3.02e-05 2.03e-03 + 4.499998 0.945823 1.129782 1.03e-05 2.96e-03 + 4.599998 0.971525 1.497718 3.15e-05 6.75e-04 + 4.699998 0.996885 1.523839 1.23e-05 1.17e-03 + 4.799998 1.021631 1.105371 9.54e-06 4.28e-03 + 4.899998 1.045559 1.728218 2.90e-05 2.70e-03 + 4.999998 1.068557 1.059850 7.27e-06 3.42e-03 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 1000, nstf = 360309 + u error = 1.053e-05, v error = 1.630e-03, total error = 1.152e-03 + Total RHS evals: Fse = 4001, Fsi = 12084, Ff = 1080977 + Slow Newton iters = 8083 + Slow Newton conv fails = 0 + Slow Jacobian evals = 50 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_1_0_0.01.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_1_0_0.01.out new file mode 100644 index 0000000..a65664b --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_1_0_0.01.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.01 + hf = 0.0001 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MIS_KW3 + fast solver: none + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223762 1.078828 3.68e-05 1.36e-03 + 0.200000 1.220624 1.551447 4.48e-05 3.53e-04 + 0.300000 1.215667 1.468247 7.34e-05 5.10e-04 + 0.400000 1.208470 1.153484 5.45e-05 1.10e-03 + 0.500000 1.199502 1.721907 5.84e-06 5.96e-07 + 0.600000 1.188564 1.024797 7.27e-06 1.28e-03 + 0.700000 1.175723 1.622408 4.14e-05 3.41e-04 + 0.800000 1.161275 1.375550 8.85e-05 9.16e-04 + 0.900000 1.144848 1.244906 5.54e-05 8.55e-04 + 1.000000 1.127032 1.692045 2.25e-05 2.04e-04 + 1.100000 1.107589 1.000910 2.06e-05 4.20e-04 + 1.200000 1.086787 1.677288 3.35e-05 2.61e-04 + 1.300000 1.064865 1.278871 8.82e-05 1.09e-03 + 1.400000 1.041568 1.341650 5.76e-05 8.00e-04 + 1.500000 1.017572 1.643326 4.12e-05 3.80e-04 + 1.600000 0.992635 1.011492 3.84e-05 6.17e-04 + 1.700000 0.967230 1.713992 2.26e-05 6.27e-05 + 1.800000 0.941564 1.185055 7.63e-05 1.18e-03 + 1.900000 0.915563 1.436862 5.42e-05 5.93e-04 + 2.000000 0.889960 1.577462 5.70e-05 3.71e-04 + 2.100000 0.864572 1.054896 5.31e-05 1.57e-03 + 2.200000 0.840076 1.731105 1.25e-05 1.84e-04 + 2.300000 0.816662 1.102033 4.63e-05 9.86e-04 + 2.400000 0.794493 1.524728 5.30e-05 3.28e-04 + 2.500000 0.774296 1.497459 6.83e-05 4.76e-04 + 2.600000 0.755957 1.125519 5.56e-05 1.35e-03 + 2.700000 0.740245 1.727734 1.19e-06 1.99e-04 + 2.799999 0.727259 1.039374 1.16e-05 9.92e-04 + 2.899999 0.717255 1.600566 4.66e-05 2.09e-04 + 2.999999 0.710718 1.407091 8.21e-05 7.33e-04 + 3.099999 0.707356 1.214479 5.68e-05 9.45e-05 + 3.199999 0.707730 1.704603 2.10e-05 5.88e-04 + 3.299999 0.711507 1.007063 1.24e-05 2.68e-03 + 3.399999 0.718709 1.660751 4.05e-05 4.98e-04 + 3.499999 0.729320 1.312711 9.35e-05 2.65e-03 + 3.599999 0.742649 1.309559 6.26e-05 5.66e-04 + 3.699999 0.758948 1.661851 3.41e-05 6.44e-04 + 3.799999 0.777469 1.005416 3.68e-05 1.02e-03 + 3.899998 0.798110 1.703432 3.34e-05 6.05e-04 + 3.999998 0.820555 1.216966 8.13e-05 2.65e-03 + 4.099998 0.844078 1.405508 7.08e-05 9.05e-04 + 4.199998 0.868877 1.600949 4.48e-05 2.14e-04 + 4.299998 0.894147 1.038711 5.66e-05 2.95e-04 + 4.399998 0.919935 1.726388 2.83e-05 1.15e-03 + 4.499998 0.945887 1.129787 5.37e-05 2.97e-03 + 4.599998 0.971491 1.495957 6.63e-05 1.09e-03 + 4.699998 0.996959 1.525506 6.12e-05 5.02e-04 + 4.799998 1.021576 1.100868 6.40e-05 2.21e-04 + 4.899998 1.045573 1.729704 1.57e-05 1.21e-03 + 4.999998 1.068585 1.059591 2.09e-05 3.16e-03 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 500, nstf = 50308 + u error = 5.161e-05, v error = 1.153e-03, total error = 8.164e-04 + Total RHS evals: Fs = 1501, Ff = 150974 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_2_4_0.002.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_2_4_0.002.out new file mode 100644 index 0000000..03be22b --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_2_4_0.002.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.002 + hf = 2e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MRI_GARK_ERK45a + fast solver: erk-4-4 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223721 1.077433 3.93e-06 3.06e-05 + 0.200000 1.220659 1.551769 1.03e-05 3.06e-05 + 0.300000 1.215583 1.467705 1.11e-05 3.24e-05 + 0.400000 1.208521 1.154556 2.98e-06 2.71e-05 + 0.500000 1.199489 1.721869 7.75e-06 3.84e-05 + 0.600000 1.188549 1.024341 8.11e-06 8.23e-04 + 0.700000 1.175751 1.622764 1.25e-05 1.57e-05 + 0.800000 1.161176 1.374940 1.06e-05 3.05e-04 + 0.900000 1.144903 1.246216 1.19e-06 4.55e-04 + 1.000000 1.127010 1.691689 2.38e-07 1.52e-04 + 1.100000 1.107607 1.001205 1.67e-06 7.15e-04 + 1.200000 1.086806 1.677372 1.41e-05 1.78e-04 + 1.300000 1.064767 1.278100 9.18e-06 3.20e-04 + 1.400000 1.041628 1.342669 2.38e-06 2.20e-04 + 1.500000 1.017527 1.642768 3.58e-06 1.78e-04 + 1.600000 0.992677 1.012740 3.58e-06 6.31e-04 + 1.700000 0.967406 1.712189 1.54e-04 1.87e-03 + 1.800000 0.941750 1.206676 2.63e-04 2.28e-02 + 1.900000 0.915767 1.447311 1.49e-04 9.86e-03 + 2.000000 0.890105 1.578086 2.03e-04 9.95e-04 + 2.100000 0.864826 1.083218 2.01e-04 2.68e-02 + 2.200000 0.840217 1.722825 1.28e-04 8.10e-03 + 2.300000 0.816841 1.123268 2.25e-04 2.22e-02 + 2.400000 0.794641 1.526158 9.54e-05 1.10e-03 + 2.500000 0.774393 1.497907 1.66e-04 9.24e-04 + 2.600000 0.756138 1.146600 1.25e-04 1.97e-02 + 2.700000 0.740318 1.716166 7.21e-05 1.14e-02 + 2.799999 0.727398 1.060817 1.50e-04 2.24e-02 + 2.899999 0.717311 1.595294 9.89e-06 5.48e-03 + 2.999999 0.710728 1.409226 9.17e-05 2.87e-03 + 3.099999 0.707428 1.227575 1.51e-05 1.32e-02 + 3.199999 0.707694 1.691634 1.55e-05 1.24e-02 + 3.299999 0.711559 1.026809 3.95e-05 2.24e-02 + 3.399999 0.718575 1.641603 1.74e-04 1.96e-02 + 3.499999 0.729231 1.323199 4.29e-06 1.31e-02 + 3.599999 0.742516 1.325042 1.96e-04 1.49e-02 + 3.699999 0.758735 1.638719 1.78e-04 2.25e-02 + 3.799999 0.777385 1.048017 1.21e-04 4.36e-02 + 3.899998 0.797819 1.677518 3.24e-04 2.65e-02 + 3.999998 0.820355 1.234824 1.19e-04 2.05e-02 + 4.099998 0.843817 1.409712 3.32e-04 3.30e-03 + 4.199998 0.868588 1.582285 2.44e-04 1.85e-02 + 4.299998 0.893978 1.077272 2.25e-04 3.89e-02 + 4.399998 0.919596 1.696906 3.68e-04 3.06e-02 + 4.499998 0.945680 1.154911 1.54e-04 2.81e-02 + 4.599998 0.971182 1.489800 3.74e-04 7.24e-03 + 4.699998 0.996676 1.512863 2.22e-04 1.21e-02 + 4.799998 1.021392 1.132807 2.48e-04 3.17e-02 + 4.899998 1.045262 1.698713 3.26e-04 3.22e-02 + 4.999998 1.068437 1.097348 1.28e-04 4.09e-02 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 2500, nstf = 237354 + u error = 1.639e-04, v error = 1.767e-02, total error = 1.249e-02 + Total RHS evals: Fs = 12501, Ff = 951966 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_3_2_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_3_2_0.001.out new file mode 100644 index 0000000..c3c7603 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_3_2_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK21 + fast solver: ARKODE_HEUN_EULER_2_1_2 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223708 1.077478 1.69e-05 1.43e-05 + 0.200000 1.220680 1.551822 1.07e-05 2.22e-05 + 0.300000 1.215558 1.468080 3.56e-05 3.43e-04 + 0.400000 1.208498 1.155302 2.57e-05 7.19e-04 + 0.500000 1.199511 1.721812 1.44e-05 9.57e-05 + 0.600000 1.188515 1.024342 4.20e-05 8.24e-04 + 0.700000 1.175767 1.622729 2.74e-06 1.92e-05 + 0.800000 1.161162 1.371914 2.47e-05 2.72e-03 + 0.900000 1.144922 1.244954 1.81e-05 8.07e-04 + 1.000000 1.126971 1.686523 3.86e-05 5.32e-03 + 1.100000 1.107582 1.002415 2.73e-05 1.93e-03 + 1.200000 1.086812 1.672968 8.70e-06 4.58e-03 + 1.300000 1.064767 1.277104 9.42e-06 6.77e-04 + 1.400000 1.041590 1.341654 3.56e-05 7.96e-04 + 1.500000 1.017504 1.638924 2.68e-05 4.02e-03 + 1.600000 0.992740 1.021926 6.71e-05 9.82e-03 + 1.700000 0.967303 1.709560 5.04e-05 4.50e-03 + 1.800000 0.941585 1.189394 9.76e-05 5.52e-03 + 1.900000 0.915675 1.438451 5.72e-05 9.97e-04 + 2.000000 0.889957 1.574438 5.41e-05 2.65e-03 + 2.100000 0.864703 1.064689 7.75e-05 8.23e-03 + 2.200000 0.840127 1.725322 3.77e-05 5.60e-03 + 2.300000 0.816701 1.107611 8.52e-05 6.56e-03 + 2.400000 0.794579 1.523703 3.28e-05 1.35e-03 + 2.500000 0.774301 1.495204 7.34e-05 1.78e-03 + 2.600000 0.756082 1.137036 6.87e-05 1.02e-02 + 2.700000 0.740274 1.718976 2.80e-05 8.56e-03 + 2.799999 0.727317 1.050133 6.91e-05 1.18e-02 + 2.899999 0.717297 1.596248 3.99e-06 4.53e-03 + 2.999999 0.710701 1.406497 6.46e-05 1.39e-04 + 3.099999 0.707418 1.221371 5.60e-06 6.99e-03 + 3.199999 0.707703 1.695379 6.68e-06 8.64e-03 + 3.299999 0.711522 1.017497 2.44e-06 1.31e-02 + 3.399999 0.718654 1.648754 9.55e-05 1.25e-02 + 3.499999 0.729214 1.310589 1.29e-05 5.31e-04 + 3.599999 0.742619 1.312459 9.30e-05 2.34e-03 + 3.699999 0.758832 1.648336 8.18e-05 1.29e-02 + 3.799999 0.777449 1.018748 5.67e-05 1.44e-02 + 3.899998 0.798005 1.690436 1.38e-04 1.36e-02 + 3.999998 0.820416 1.219464 5.77e-05 5.14e-03 + 4.099998 0.843985 1.408688 1.64e-04 2.28e-03 + 4.199998 0.868708 1.591322 1.24e-04 9.41e-03 + 4.299998 0.894097 1.058468 1.07e-04 2.01e-02 + 4.399998 0.919800 1.712315 1.64e-04 1.52e-02 + 4.499998 0.945770 1.140760 6.34e-05 1.39e-02 + 4.599998 0.971378 1.493887 1.79e-04 3.16e-03 + 4.699998 0.996790 1.518548 1.08e-04 6.46e-03 + 4.799998 1.021543 1.117607 9.70e-05 1.65e-02 + 4.899998 1.045414 1.714688 1.75e-04 1.62e-02 + 4.999998 1.068492 1.075867 7.20e-05 1.94e-02 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5001, nstf = 724397 + u error = 7.640e-05, v error = 8.538e-03, total error = 6.038e-03 + Total RHS evals: Fs = 10003, Ff = 1448844 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_4_3_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_4_3_0.001.out new file mode 100644 index 0000000..c0a40ca --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_4_3_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK32 + fast solver: erk-3-3 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223708 1.077480 1.69e-05 1.66e-05 + 0.200000 1.220680 1.551824 1.07e-05 2.40e-05 + 0.300000 1.215558 1.468077 3.56e-05 3.39e-04 + 0.400000 1.208498 1.155304 2.57e-05 7.21e-04 + 0.500000 1.199511 1.721821 1.43e-05 8.63e-05 + 0.600000 1.188515 1.024338 4.20e-05 8.20e-04 + 0.700000 1.175767 1.622745 2.74e-06 3.81e-06 + 0.800000 1.161162 1.371913 2.47e-05 2.72e-03 + 0.900000 1.144922 1.244950 1.81e-05 8.11e-04 + 1.000000 1.126971 1.686542 3.86e-05 5.30e-03 + 1.100000 1.107582 1.002408 2.73e-05 1.92e-03 + 1.200000 1.086812 1.672969 8.82e-06 4.58e-03 + 1.300000 1.064767 1.277095 9.42e-06 6.85e-04 + 1.400000 1.041590 1.341660 3.56e-05 7.90e-04 + 1.500000 1.017504 1.638953 2.68e-05 3.99e-03 + 1.600000 0.992740 1.021892 6.72e-05 9.78e-03 + 1.700000 0.967303 1.709602 5.05e-05 4.45e-03 + 1.800000 0.941585 1.189354 9.78e-05 5.48e-03 + 1.900000 0.915675 1.438494 5.75e-05 1.04e-03 + 2.000000 0.889957 1.574445 5.43e-05 2.65e-03 + 2.100000 0.864703 1.064638 7.77e-05 8.17e-03 + 2.200000 0.840127 1.725342 3.80e-05 5.58e-03 + 2.300000 0.816701 1.107562 8.53e-05 6.52e-03 + 2.400000 0.794579 1.523696 3.29e-05 1.36e-03 + 2.500000 0.774301 1.495191 7.35e-05 1.79e-03 + 2.600000 0.756082 1.137005 6.87e-05 1.01e-02 + 2.700000 0.740274 1.718970 2.80e-05 8.56e-03 + 2.799999 0.727317 1.050053 6.91e-05 1.17e-02 + 2.899999 0.717297 1.596283 3.87e-06 4.49e-03 + 2.999999 0.710701 1.406464 6.47e-05 1.07e-04 + 3.099999 0.707418 1.221368 5.60e-06 6.98e-03 + 3.199999 0.707703 1.695417 6.68e-06 8.60e-03 + 3.299999 0.711522 1.017335 2.26e-06 1.29e-02 + 3.399999 0.718653 1.648873 9.60e-05 1.24e-02 + 3.499999 0.729213 1.310483 1.35e-05 4.26e-04 + 3.599999 0.742618 1.312540 9.34e-05 2.42e-03 + 3.699999 0.758831 1.648367 8.21e-05 1.28e-02 + 3.799999 0.777449 1.018528 5.75e-05 1.41e-02 + 3.899998 0.798005 1.690597 1.39e-04 1.34e-02 + 3.999998 0.820415 1.219269 5.87e-05 4.95e-03 + 4.099998 0.843989 1.408907 1.60e-04 2.50e-03 + 4.199998 0.868706 1.591308 1.25e-04 9.43e-03 + 4.299998 0.894095 1.058299 1.09e-04 1.99e-02 + 4.399998 0.919798 1.712515 1.65e-04 1.50e-02 + 4.499998 0.945769 1.140407 6.46e-05 1.36e-02 + 4.599998 0.971376 1.494175 1.81e-04 2.87e-03 + 4.699998 0.996788 1.518439 1.10e-04 6.56e-03 + 4.799998 1.021541 1.117543 9.88e-05 1.65e-02 + 4.899998 1.045411 1.714858 1.77e-04 1.61e-02 + 4.999998 1.068490 1.075355 7.43e-05 1.89e-02 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5001, nstf = 1044943 + u error = 7.684e-05, v error = 8.449e-03, total error = 5.974e-03 + Total RHS evals: Fs = 15004, Ff = 3134879 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_5_4_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_5_4_0.001.out new file mode 100644 index 0000000..75a540d --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_5_4_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK43 + fast solver: erk-4-4 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223708 1.077487 1.69e-05 2.34e-05 + 0.200000 1.220680 1.551823 1.07e-05 2.29e-05 + 0.300000 1.215558 1.468080 3.56e-05 3.43e-04 + 0.400000 1.208498 1.155314 2.57e-05 7.31e-04 + 0.500000 1.199511 1.721830 1.44e-05 7.72e-05 + 0.600000 1.188515 1.024340 4.20e-05 8.23e-04 + 0.700000 1.175767 1.622745 2.86e-06 3.22e-06 + 0.800000 1.161162 1.371929 2.47e-05 2.71e-03 + 0.900000 1.144922 1.244963 1.81e-05 7.98e-04 + 1.000000 1.126971 1.686556 3.85e-05 5.29e-03 + 1.100000 1.107582 1.002426 2.73e-05 1.94e-03 + 1.200000 1.086812 1.672981 8.70e-06 4.57e-03 + 1.300000 1.064767 1.277106 9.54e-06 6.75e-04 + 1.400000 1.041590 1.341662 3.55e-05 7.88e-04 + 1.500000 1.017504 1.638962 2.68e-05 3.98e-03 + 1.600000 0.992740 1.021893 6.72e-05 9.78e-03 + 1.700000 0.967303 1.709587 5.05e-05 4.47e-03 + 1.800000 0.941585 1.189338 9.78e-05 5.46e-03 + 1.900000 0.915675 1.438476 5.74e-05 1.02e-03 + 2.000000 0.889962 1.574430 5.93e-05 2.66e-03 + 2.100000 0.864702 1.064624 7.65e-05 8.16e-03 + 2.200000 0.840126 1.725309 3.68e-05 5.61e-03 + 2.300000 0.816700 1.107535 8.39e-05 6.49e-03 + 2.400000 0.794577 1.523668 3.15e-05 1.39e-03 + 2.500000 0.774300 1.495156 7.21e-05 1.83e-03 + 2.600000 0.756080 1.136971 6.72e-05 1.01e-02 + 2.700000 0.740272 1.718940 2.65e-05 8.59e-03 + 2.799999 0.727321 1.050046 7.35e-05 1.17e-02 + 2.899999 0.717301 1.596204 2.98e-07 4.57e-03 + 2.999999 0.710699 1.406484 6.31e-05 1.26e-04 + 3.099999 0.707417 1.221252 4.23e-06 6.87e-03 + 3.199999 0.707701 1.695401 8.05e-06 8.61e-03 + 3.299999 0.711521 1.017343 1.25e-06 1.30e-02 + 3.399999 0.718658 1.648746 9.10e-05 1.25e-02 + 3.499999 0.729213 1.310631 1.39e-05 5.74e-04 + 3.599999 0.742618 1.312321 9.35e-05 2.20e-03 + 3.699999 0.758834 1.648432 7.93e-05 1.28e-02 + 3.799999 0.777472 1.018487 3.38e-05 1.41e-02 + 3.899998 0.798006 1.690474 1.37e-04 1.36e-02 + 3.999998 0.820420 1.219489 5.45e-05 5.17e-03 + 4.099998 0.844009 1.408561 1.40e-04 2.15e-03 + 4.199998 0.868713 1.591500 1.19e-04 9.24e-03 + 4.299998 0.894124 1.058118 7.96e-05 1.97e-02 + 4.399998 0.919801 1.712405 1.62e-04 1.51e-02 + 4.499998 0.945779 1.140689 5.47e-05 1.39e-02 + 4.599998 0.971403 1.493773 1.54e-04 3.27e-03 + 4.699998 0.996791 1.518714 1.07e-04 6.29e-03 + 4.799998 1.021551 1.117211 8.94e-05 1.61e-02 + 4.899998 1.045414 1.714821 1.75e-04 1.61e-02 + 4.999998 1.068493 1.075659 7.19e-05 1.92e-02 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5001, nstf = 1340808 + u error = 7.251e-05, v error = 8.453e-03, total error = 5.977e-03 + Total RHS evals: Fs = 30007, Ff = 5368283 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_6_5_0.001.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_6_5_0.001.out new file mode 100644 index 0000000..6e5f4f0 --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_6_5_0.001.out @@ -0,0 +1,69 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.001 + hf = 1e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MERK54 + fast solver: ARKODE_DORMAND_PRINCE_7_4_5 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223701 1.077488 2.40e-05 2.38e-05 + 0.200000 1.220679 1.551816 9.54e-06 1.67e-05 + 0.300000 1.215555 1.468080 3.84e-05 3.42e-04 + 0.400000 1.208502 1.155312 2.19e-05 7.29e-04 + 0.500000 1.199507 1.721835 1.11e-05 7.24e-05 + 0.600000 1.188515 1.024345 4.17e-05 8.27e-04 + 0.700000 1.175770 1.622742 6.44e-06 7.03e-06 + 0.800000 1.161160 1.371919 2.59e-05 2.72e-03 + 0.900000 1.144919 1.244956 1.47e-05 8.04e-04 + 1.000000 1.126964 1.686550 4.58e-05 5.29e-03 + 1.100000 1.107581 1.002413 2.85e-05 1.92e-03 + 1.200000 1.086789 1.672971 3.10e-05 4.58e-03 + 1.300000 1.064756 1.277094 2.09e-05 6.86e-04 + 1.400000 1.041581 1.341650 4.40e-05 8.00e-04 + 1.500000 1.017500 1.638952 3.06e-05 3.99e-03 + 1.600000 0.992737 1.021892 6.41e-05 9.78e-03 + 1.700000 0.967263 1.709590 1.03e-05 4.46e-03 + 1.800000 0.941548 1.189339 6.04e-05 5.46e-03 + 1.900000 0.915652 1.438490 3.47e-05 1.04e-03 + 2.000000 0.889920 1.574426 1.72e-05 2.66e-03 + 2.100000 0.864686 1.064620 6.09e-05 8.16e-03 + 2.200000 0.840087 1.725317 2.09e-06 5.60e-03 + 2.300000 0.816666 1.107545 4.94e-05 6.50e-03 + 2.400000 0.794557 1.523672 1.08e-05 1.38e-03 + 2.500000 0.774272 1.495170 4.49e-05 1.81e-03 + 2.600000 0.756074 1.136987 6.08e-05 1.01e-02 + 2.700000 0.740250 1.718958 4.05e-06 8.58e-03 + 2.799999 0.727312 1.050071 6.41e-05 1.17e-02 + 2.899999 0.717291 1.596226 1.02e-05 4.55e-03 + 2.999999 0.710663 1.406509 2.66e-05 1.51e-04 + 3.099999 0.707435 1.221281 2.26e-05 6.90e-03 + 3.199999 0.707680 1.695417 2.91e-05 8.60e-03 + 3.299999 0.711555 1.017353 3.53e-05 1.30e-02 + 3.399999 0.718667 1.648790 8.24e-05 1.25e-02 + 3.499999 0.729208 1.310601 1.88e-05 5.44e-04 + 3.599999 0.742660 1.312406 5.17e-05 2.28e-03 + 3.699999 0.758836 1.648415 7.73e-05 1.28e-02 + 3.799999 0.777502 1.018518 4.29e-06 1.41e-02 + 3.899998 0.798030 1.690534 1.14e-04 1.35e-02 + 3.999998 0.820456 1.219400 1.78e-05 5.08e-03 + 4.099998 0.844040 1.408747 1.09e-04 2.33e-03 + 4.199998 0.868734 1.591414 9.82e-05 9.32e-03 + 4.299998 0.894164 1.058238 3.97e-05 1.98e-02 + 4.399998 0.919818 1.712486 1.46e-04 1.51e-02 + 4.499998 0.945808 1.140525 2.53e-05 1.37e-02 + 4.599998 0.971424 1.494066 1.33e-04 2.98e-03 + 4.699998 0.996812 1.518547 8.59e-05 6.46e-03 + 4.799998 1.021599 1.117480 4.08e-05 1.64e-02 + 4.899998 1.045432 1.714879 1.57e-04 1.60e-02 + 4.999998 1.068524 1.075437 4.04e-05 1.90e-02 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 5001, nstf = 1476274 + u error = 5.804e-05, v error = 8.450e-03, total error = 5.976e-03 + Total RHS evals: Fs = 50061, Ff = 8882750 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_7_2_0.002.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_7_2_0.002.out new file mode 100644 index 0000000..a10815b --- /dev/null +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_kpr_mri_7_2_0.002.out @@ -0,0 +1,73 @@ + +Multirate nonlinear Kvaerno-Prothero-Robinson test problem: + time domain: (0,5] + hs = 0.002 + hf = 2e-05 + G = -100 + w = 100 + e = 0.5 + slow solver: ARKODE_MRI_GARK_IRK21a + reltol = 4.00e-06, abstol = 1.00e-11 + fast solver: ARKODE_HEUN_EULER_2_1_2 + t u v uerr verr + ------------------------------------------------------ + 0.000000 1.224745 1.732051 0.00e+00 0.00e+00 + 0.100000 1.223721 1.077433 3.81e-06 3.04e-05 + 0.200000 1.220658 1.551778 1.10e-05 2.12e-05 + 0.300000 1.215578 1.467708 1.61e-05 2.96e-05 + 0.400000 1.208525 1.154567 7.15e-07 1.55e-05 + 0.500000 1.199492 1.721883 4.77e-06 2.44e-05 + 0.600000 1.188551 1.024396 5.84e-06 8.79e-04 + 0.700000 1.175745 1.622784 1.85e-05 3.50e-05 + 0.800000 1.161171 1.374966 1.51e-05 3.31e-04 + 0.900000 1.144903 1.246252 1.19e-06 4.91e-04 + 1.000000 1.127014 1.691672 4.17e-06 1.69e-04 + 1.100000 1.107605 1.001282 3.81e-06 7.92e-04 + 1.200000 1.086806 1.677352 1.48e-05 1.97e-04 + 1.300000 1.064761 1.278121 1.56e-05 3.41e-04 + 1.400000 1.041617 1.342687 8.23e-06 2.37e-04 + 1.500000 1.017556 1.642751 2.54e-05 1.95e-04 + 1.600000 0.992711 1.018360 3.80e-05 6.25e-03 + 1.700000 0.967273 1.712988 2.05e-05 1.07e-03 + 1.800000 0.941535 1.187542 4.74e-05 3.66e-03 + 1.900000 0.915648 1.439029 3.11e-05 1.57e-03 + 2.000000 0.889931 1.576488 2.88e-05 6.03e-04 + 2.100000 0.864666 1.061502 4.09e-05 5.04e-03 + 2.200000 0.840114 1.728809 2.47e-05 2.11e-03 + 2.300000 0.816659 1.104867 4.31e-05 3.82e-03 + 2.400000 0.794565 1.525083 1.88e-05 2.72e-05 + 2.500000 0.774266 1.496570 3.81e-05 4.13e-04 + 2.600000 0.756037 1.130699 2.40e-05 3.83e-03 + 2.700000 0.740258 1.724861 1.19e-05 2.67e-03 + 2.799999 0.727278 1.042530 3.06e-05 4.15e-03 + 2.899999 0.717302 1.599511 3.58e-07 1.26e-03 + 2.999999 0.710650 1.406419 1.38e-05 6.16e-05 + 3.099999 0.707416 1.217036 3.93e-06 2.65e-03 + 3.199999 0.707718 1.701006 8.23e-06 3.01e-03 + 3.299999 0.711546 1.015451 2.61e-05 1.11e-02 + 3.399999 0.718727 1.659089 2.22e-05 2.16e-03 + 3.499999 0.729238 1.313642 1.17e-05 3.59e-03 + 3.599999 0.742680 1.314916 3.14e-05 4.79e-03 + 3.699999 0.758886 1.657473 2.78e-05 3.73e-03 + 3.799999 0.777494 1.014549 1.20e-05 1.02e-02 + 3.899998 0.798083 1.699661 6.07e-05 4.38e-03 + 3.999998 0.820461 1.218889 1.34e-05 4.57e-03 + 4.099998 0.844092 1.408263 5.72e-05 1.85e-03 + 4.199998 0.868786 1.597271 4.55e-05 3.46e-03 + 4.299998 0.894171 1.047219 3.23e-05 8.80e-03 + 4.399998 0.919903 1.721945 6.04e-05 5.60e-03 + 4.499998 0.945809 1.132577 2.41e-05 5.76e-03 + 4.599998 0.971492 1.496449 6.51e-05 5.94e-04 + 4.699998 0.996858 1.522495 3.91e-05 2.51e-03 + 4.799998 1.021590 1.108193 5.05e-05 7.10e-03 + 4.899998 1.045466 1.718425 1.22e-04 1.25e-02 + 4.999998 1.068521 1.063734 4.37e-05 7.31e-03 + ------------------------------------------------------ + +Final Solver Statistics: + Steps: nsts = 2500, nstf = 247194 + u error = 3.432e-05, v error = 4.252e-03, total error = 3.006e-03 + Total RHS evals: Fs = 6952, Ff = 494438 + Slow Newton iters = 4501 + Slow Newton conv fails = 0 + Slow Jacobian evals = 125 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_onewaycouple_mri.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_onewaycouple_mri.out index de12921..18aa269 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_onewaycouple_mri.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_onewaycouple_mri.out @@ -6,16 +6,16 @@ One way coupling ODE test problem: t u v w max err ---------------------------------------------------------- 0.000000 1.000000 0.000000 2.000000 0.000000 - 0.100000 0.283608 -0.958913 1.802294 0.000054 - 0.200000 -0.839096 -0.543891 1.658852 0.000131 - 0.300000 -0.759721 0.650133 1.524290 0.000154 - 0.400000 0.407371 0.913151 1.364400 0.000712 - 0.500000 0.991250 -0.131020 1.202825 0.001332 - 0.600000 0.154805 -0.987785 1.085199 0.000551 - 0.700000 -0.903591 -0.427958 1.011891 0.000228 - 0.800000 -0.666120 0.745554 0.935744 0.000821 - 0.900000 0.526592 0.849826 0.828154 0.001274 - 1.000000 0.964067 -0.264618 0.718727 0.002243 + 0.100000 0.283607 -0.958914 1.802294 0.000055 + 0.200000 -0.839103 -0.543880 1.658852 0.000141 + 0.300000 -0.759730 0.650122 1.524288 0.000165 + 0.400000 0.407298 0.913184 1.364401 0.000784 + 0.500000 0.991270 -0.130877 1.202824 0.001475 + 0.600000 0.155010 -0.987759 1.085193 0.000757 + 0.700000 -0.903483 -0.428208 1.011878 0.000207 + 0.800000 -0.666380 0.745341 0.935738 0.000561 + 0.900000 0.526263 0.850054 0.828161 0.000944 + 1.000000 0.964213 -0.264174 0.718729 0.001799 ---------------------------------------------------------- Final Solver Statistics: diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_reaction_diffusion_mri.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_reaction_diffusion_mri.out index 817d112..062c5d4 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_reaction_diffusion_mri.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_reaction_diffusion_mri.out @@ -8,14 +8,14 @@ 0.100000 0.416519 0.200000 0.418196 0.300000 0.419868 - 0.400000 0.421535 - 0.500000 0.423193 + 0.400000 0.421534 + 0.500000 0.423192 0.600000 0.424844 0.700000 0.426489 0.800000 0.428128 0.900000 0.429747 1.000000 0.431358 - 1.100000 0.432960 + 1.100000 0.432959 1.200000 0.434538 1.300000 0.436111 1.400000 0.437667 @@ -26,15 +26,15 @@ 1.900000 0.445297 2.000000 0.446808 2.100000 0.448314 - 2.200000 0.449815 + 2.200000 0.449814 2.300000 0.451311 2.400000 0.452802 - 2.500000 0.454283 - 2.600000 0.455734 - 2.700000 0.457180 - 2.799999 0.458609 - 2.899999 0.460016 - 2.999999 0.461418 + 2.500000 0.454282 + 2.600000 0.455733 + 2.700000 0.457178 + 2.799999 0.458608 + 2.899999 0.460015 + 2.999999 0.461417 ------------------------- Final Slow Statistics: @@ -51,6 +51,7 @@ Last step size = 0.001000000047497451 Current step size = 0.001000000047497451 Explicit slow RHS fn evals = 9004 Implicit slow RHS fn evals = 0 +Inner stepper failures = 0 NLS iters = 0 NLS fails = 0 NLS iters per step = 0 diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_-1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_-1.out index 9f09d86..dedbba4 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_-1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_-1.out @@ -14,6 +14,7 @@ Test explicit MRI methods ========================= Testing method ARKODE_MIS_KW3 + type = explicit MRI nmat = 1 stages = 4 method order (q) = 3 @@ -24,6 +25,7 @@ Testing method ARKODE_MIS_KW3 0.3333333333333333 0 0 0 -0.5208333333333333 0.9375 0 0 0.3541666666666666 -0.6375 0.5333333333333333 0 + 0 0 0 0 Stored stages = 3 @@ -40,15 +42,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22a + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.5 1 W[0] = 0 0 0 0.5 0 0 -0.5 1 0 + 0.5 0 0 Stored stages = 2 @@ -65,15 +69,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22b + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 1 1 W[0] = 0 0 0 1 0 0 -0.5 0.5 0 + 0 0 0 Stored stages = 2 @@ -90,22 +96,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK33a + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.3333333333333333 0.6666666666666666 1 W[0] = 0 0 0 0 0.3333333333333333 0 0 0 -0.3333333333333333 0.6666666666666666 0 0 0 -0.6666666666666666 1 0 + 0.08333333333333333 -0.3333333333333333 0.5833333333333334 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 -0.5 0 + 0 0 0 0 Stored stages = 3 @@ -122,10 +131,11 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK45a + type = explicit MRI nmat = 2 stages = 6 method order (q) = 4 - embedding order (p) = 0 + embedding order (p) = 3 c = 0 0.2 0.4 0.6 0.8 1 W[0] = 0 0 0 0 0 0 @@ -134,6 +144,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.5121234603937985 1.955496920787597 -1.243373460393798 0 0 0 -0.1068927211587161 -4.656693056981116 3.994968532757531 0.9686172453823019 0 0 0.911960843690752 -0.1837327083772207 -1.193926866090864 -2.611983006811319 3.277681737588653 0 + -1.858584369075205 2.224667606006969 -0.5244469581796045 -0.09396291472257937 0.45232663597042 0 W[1] = 0 0 0 0 0 0 @@ -142,6 +153,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.0382530792124029 0.6952561584248058 -0.6570030792124029 0 0 0 1.87616694642529 3.003768197383342 -3 -1.879935143808632 0 0 -2.423803191489362 2 1 5 -5.576196808510638 0 + 3.304787234042553 -3.304787234042553 0 0 0 0 Stored stages = 5 @@ -158,6 +170,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_FORWARD_EULER + type = explicit MRI nmat = 1 stages = 2 method order (q) = 1 @@ -166,6 +179,7 @@ Testing method ARKODE_MRI_GARK_FORWARD_EULER W[0] = 0 0 1 0 + 0 0 Stored stages = 1 @@ -182,15 +196,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON2 + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.6666666666666666 1 W[0] = 0 0 0 0.6666666666666666 0 0 -0.4166666666666666 0.75 0 + 0.3333333333333334 0 0 Stored stages = 2 @@ -207,22 +223,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON3 + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.5 0.75 1 W[0] = 0 0 0 0 0.5 0 0 0 -2.75 3 0 0 1.305555555555556 -0.1666666666666667 -0.8888888888888888 0 + 0.025 0.175 0.05 0 W[1] = 0 0 0 0 0 0 0 0 4.5 -4.5 0 0 -2.166666666666667 -0.5 2.666666666666667 0 + 0 0 0 0 Stored stages = 3 @@ -243,6 +262,7 @@ Test implicit MRI methods ========================= Testing method ARKODE_MRI_GARK_BACKWARD_EULER + type = implicit MRI nmat = 1 stages = 3 method order (q) = 1 @@ -252,6 +272,7 @@ Testing method ARKODE_MRI_GARK_BACKWARD_EULER 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -273,19 +294,22 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK34a + type = implicit MRI nmat = 1 - stages = 7 + stages = 8 method order (q) = 3 - embedding order (p) = 0 - c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 + embedding order (p) = 2 + c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 1 G[0] = - 0 0 0 0 0 0 0 - 0.3333333333333333 0 0 0 0 0 0 - -0.435866521508459 0 0.435866521508459 0 0 0 0 - -0.3045790611944505 0 0.6379123945277838 0 0 0 0 - 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 - 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 - -0.435866521508459 0 0 0 0 0 0.435866521508459 + 0 0 0 0 0 0 0 0 + 0.3333333333333333 0 0 0 0 0 0 0 + -0.435866521508459 0 0.435866521508459 0 0 0 0 0 + -0.3045790611944505 0 0.6379123945277838 0 0 0 0 0 + 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 0 + 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 0 + -0.435866521508459 0 0 0 0 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 + 0.2453831999117524 0 0.4204215033044045 0 -1.576992606344066 0 0.9111879031279093 0 Stored stages = 4 @@ -307,36 +331,41 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK46a + type = implicit MRI nmat = 2 - stages = 11 + stages = 12 method order (q) = 4 - embedding order (p) = 0 - c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 + embedding order (p) = 3 + c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 1 G[0] = - 0 0 0 0 0 0 0 0 0 0 0 - 0.2 0 0 0 0 0 0 0 0 0 0 - -0.25 0 0.25 0 0 0 0 0 0 0 0 - 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 - 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 - 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 - 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 - -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 - 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 - -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 - 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0.2 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.25 0 0 0 0 0 0 0 0 0 + 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 0 + 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 0 + 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 0 + 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 0 + -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 0 + 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 0 + -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 0 + 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.6355065879145843 0 -0.2777146751476601 0 -0.4798955020445252 0 0.5009086778736938 0 -0.1288050885960927 0 G[1] = - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 - -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 - -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 - -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 - 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 - -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 - 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 - 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 0 + -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 0 + -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 0 + -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 0 + 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 0 + -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 0 + 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 0 + 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -358,6 +387,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT + type = implicit MRI nmat = 1 stages = 4 method order (q) = 2 @@ -368,6 +398,7 @@ Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -389,15 +420,18 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IRK21a + type = implicit MRI nmat = 1 - stages = 3 + stages = 4 method order (q) = 2 - embedding order (p) = 0 - c = 0 1 1 + embedding order (p) = 1 + c = 0 1 1 1 G[0] = - 0 0 0 - 1 0 0 - -0.5 0 0.5 + 0 0 0 0 + 1 0 0 0 + -0.5 0 0.5 0 + 0 0 0 0 + -0.5 0 0.5 0 Stored stages = 2 @@ -423,6 +457,7 @@ Test IMEX MRI methods ===================== Testing method ARKODE_IMEX_MRI_GARK3a + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -437,6 +472,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a -0.4271371821005074 0 0.1562747733103381 0 0.5529291480359398 0 0 0 0 0 0 0 0 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -447,6 +483,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a 0.435866521508459 0 0.9264299099302395 0 -1.080229692192928 0 0 0 -0.435866521508459 0 0 0 0 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -468,6 +505,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK3b + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -482,6 +520,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1195213959425454 0 -1.843725226689662 0 2.006270569992887 0 0 0 -0.5466585780430528 0 2 0 -1.453341421956947 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -492,6 +531,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1123373143006048 0 1.051807513648115 0 -0.8820780887029493 0 0 0 -0.1123373143006048 0 -0.1253776037178755 0 -0.1981516034899788 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -513,6 +553,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK4 + type = ImEx MRI nmat = 2 stages = 12 method order (q) = 4 @@ -531,6 +572,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.424429547752048 0 2.430325019757162 0 1.905479301151525 0 -1.231139266635725 0 -0.5552355065209142 0 0 0 -0.01044135044479749 0 0.07260303614655074 0 -0.1288275951677261 0 0.1129355350093824 0 -0.04626962554340952 0 0 0 -0.8108522787762101 0 0.2560073199220492 0 0.8068294072697528 0 -0.4557148228721824 0 -0.04626962554340952 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -545,6 +587,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -1.110471013041828 0 0 0 0 0 0 0 1.110471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -559,6 +602,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 3.337028151688726 0 1.547057811385124 0 -4.12988801314935 0 0.9260375565964145 0 -1.555235506520914 0 0 0 -0.8212936292210076 0 0.3286103560686 0 0.6780018121020267 0 -0.3427792878628 0 -0.09253925108681904 0 0.25 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -573,6 +617,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.610471013041828 0 0 0 0 0 0 0 2.610471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -594,6 +639,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_EULER + type = ImEx MRI nmat = 1 stages = 3 method order (q) = 1 @@ -603,11 +649,13 @@ Testing method ARKODE_IMEX_MRI_GARK_EULER 0 0 0 1 0 0 0 0 0 + 0 0 0 G[0] = 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -629,6 +677,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -639,12 +688,14 @@ Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT 0.5 0 0 0 0 0 0 0 -0.5 0 1 0 + 0 0 0 0 G[0] = 0 0 0 0 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -666,6 +717,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -676,12 +728,14 @@ Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL 1 0 0 0 0 0 0 0 -0.5 0 0.5 0 + 0 0 0 0 G[0] = 0 0 0 0 1 0 0 0 -0.5 0 0.5 0 0 0 0 0 + 0 0 0 0 Stored stages = 2 @@ -702,5 +756,391 @@ MRIStep Statistics: Comparing Solver Statistics: All checks passed +================= +Test MERK methods +================= + +Testing method ARKODE_MERK21 + type = MERK + nmat = 2 + stages = 3 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.5 1 + W[0] = + 0 0 0 + 1 0 0 + 1 0 0 + 1 0 0 + + W[1] = + 0 0 0 + 0 0 0 + -2 2 0 + 0 0 0 + + ngroup = 2 + group[0] = 1 3 + group[1] = 2 + Stored stages = 3 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.12939e-07 + Steps = 1 + Fe evals = 2 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK32 + type = MERK + nmat = 2 + stages = 4 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + + W[1] = + 0 0 0 0 + 0 0 0 0 + -2 2 0 0 + -1.5 0 1.5 0 + -2 2 0 0 + + ngroup = 3 + group[0] = 1 + group[1] = 2 4 + group[2] = 3 + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = 4.5532e-10 + Steps = 1 + Fe evals = 3 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK43 + type = MERK + nmat = 3 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.5 0.5 0.3333333333333333 0.8333333333333334 0.3333333333333333 1 + W[0] = + 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 + -2 2 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.200000000000001 0 0 0 -0.7999999999999999 5.000000000000001 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 3.6 0 0 0 2.4 -6 0 + 5.999999999999998 0 12 -18 0 0 0 + + ngroup = 4 + group[0] = 1 + group[1] = 3 2 + group[2] = 5 4 7 + group[3] = 6 + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.19176e-12 + Steps = 1 + Fe evals = 6 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK54 + type = MERK + nmat = 4 + stages = 11 + method order (q) = 5 + embedding order (p) = 4 + c = 0 0.5 0.5 0.3333333333333333 0.5 0.3333333333333333 0.25 0.7 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -4.928571428571431 0 0 0 0 0 0 71.42857142857147 28.00000000000001 -94.50000000000004 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 7.999999999999943 0 0 0 0 0 0 -250.0000000000001 -82.00000000000004 324.0000000000002 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + + W[3] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -4.285714285714278 0 0 0 0 0 0 214.2857142857144 60.00000000000002 -270.0000000000001 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + + ngroup = 5 + group[0] = 1 + group[1] = 3 2 + group[2] = 6 5 4 + group[3] = 8 9 7 11 + group[4] = 10 + Stored stages = 11 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -3.58946e-12 + Steps = 1 + Fe evals = 10 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +======================== +Test IMEX MRI SR methods +======================== + +Testing method ARKODE_IMEX_MRI_SR21 + type = MRISR + nmat = 1 + stages = 4 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.6 0.2666666666666667 1 + W[0] = + 0 0 0 0 + 0.6 0 0 0 + 0.08484848484848485 0.1818181818181818 0 0 + -0.2407407407407407 0.5074074074074074 0.7333333333333333 0 + -0.25 0.5 0.75 0 + + G[0] = + 0 0 0 0 + -0.4782608695652174 0.4782608695652174 0 0 + -0.1277806419583357 -0.3504802276068817 0.4782608695652174 0 + 0.1281737365715925 -0.9496349237862043 0.3432003176493945 0.4782608695652174 + -2.583333333333333 -0.1666666666666667 2.75 0 + + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970445 + Error = 6.56922e-07 + Steps = 1 + Fe evals = 3 + Fi evals = 6 + NLS iters = 3 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR32 + type = MRISR + nmat = 2 + stages = 5 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.6764705882352942 0.8 1.133333333333333 1 + W[0] = + 0 0 0 0 0 + 0.6764705882352942 0 0 0 0 + 1.014285714285714 -0.2142857142857143 0 0 0 + 0.1073593073593074 0.5714285714285714 0.4545454545454545 0 0 + 0.8641357630008525 0.08623188405797101 0.34375 -0.2941176470588235 0 + 1.020324985968944 -1.483870967741935 1.970588235294118 -0.5070422535211268 0 + + W[1] = + 0 0 0 0 0 + 0 0 0 0 0 + -0.2264473168820995 0.2264473168820995 0 0 0 + -1.741503979463316 8.210746794478919 -6.469242815015602 0 0 + -1.295451217034184 2.560595940177763 -2.104988533033297 0.8398438098897179 0 + -1.638681583030989 6.083126027475434 -5.777777777777778 1.333333333333333 0 + + G[0] = + 0 0 0 0 0 + -0.5714285714285714 0.5714285714285714 0 0 0 + -0.8655695979919582 0.2941410265633868 0.5714285714285714 0 0 + 1.211752194844657 -2.237726220818683 0.4545454545454545 0.5714285714285714 0 + 0.02135581474837214 -0.07308298152405064 -0.2010145240388127 -0.3186868806140802 0.5714285714285714 + -0.04323671497584541 0.05514147688060732 0.07142857142857142 -0.08333333333333333 0 + + G[1] = + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + + Stored stages = 5 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -3.76499e-09 + Steps = 1 + Fe evals = 4 + Fi evals = 8 + NLS iters = 4 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR43 + type = MRISR + nmat = 2 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.25 0.75 0.55 0.5 1 1 + W[0] = + 0 0 0 0 0 0 0 + 0.25 0 0 0 0 0 0 + 1.125 -0.375 0 0 0 0 0 + 0.07991452991452991 0.7777777777777778 -0.3076923076923077 0 0 0 0 + 0.3878787878787879 0.1666666666666667 -0.6 0.5454545454545454 0 0 0 + 3.307624927156177 -0.2222222222222222 -0.3636363636363636 -0.1666666666666667 -1.555099674630925 0 0 + 0 0.6363636363636364 -8.344696969696969 13.66792929292929 -7.083333333333333 2.123737373737374 0 + 0.0025 4.083333333333333 7.166666666666667 -0.7 -7.083333333333333 -2.469166666666667 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2.75 2.75 0 0 0 0 0 + -0.4198290598290598 -0.4088888888888889 0.8287179487179487 0 0 0 0 + -0.9169340463458111 0.6549019607843137 1.463235294117647 -1.20120320855615 0 0 0 + -6.615249854312355 7.027777777777778 -0.5227272727272727 25.33333333333333 -25.22313398407148 0 0 + 0 0.8106060606060606 14.64772727272727 -11.71085858585859 0 -3.747474747474747 0 + -0.005 -5.708333333333333 -14.6875 15.4625 0 4.938333333333333 0 + + G[0] = + 0 0 0 0 0 0 0 + -0.25 0.25 0 0 0 0 0 + 0.25 -0.5 0.25 0 0 0 0 + 0.13 -0.2333333333333333 -0.1466666666666667 0.25 0 0 0 + 0.07058823529411765 -0.2213235294117647 -0.1819852941176471 0.08272058823529412 0.25 0 0 + 0 -2.25 -0.3958333333333333 -4.6875 7.083333333333333 0.25 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + G[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -6.94172e-11 + Steps = 1 + Fe evals = 6 + Fi evals = 11 + NLS iters = 5 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + All tests passed! diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_0.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_0.out index 4591cb3..b4d2dc4 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_0.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_0.out @@ -14,6 +14,7 @@ Test explicit MRI methods ========================= Testing method ARKODE_MIS_KW3 + type = explicit MRI nmat = 1 stages = 4 method order (q) = 3 @@ -24,6 +25,7 @@ Testing method ARKODE_MIS_KW3 0.3333333333333333 0 0 0 -0.5208333333333333 0.9375 0 0 0.3541666666666666 -0.6375 0.5333333333333333 0 + 0 0 0 0 Stored stages = 3 @@ -40,15 +42,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22a + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.5 1 W[0] = 0 0 0 0.5 0 0 -0.5 1 0 + 0.5 0 0 Stored stages = 2 @@ -65,15 +69,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22b + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 1 1 W[0] = 0 0 0 1 0 0 -0.5 0.5 0 + 0 0 0 Stored stages = 2 @@ -90,22 +96,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK33a + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.3333333333333333 0.6666666666666666 1 W[0] = 0 0 0 0 0.3333333333333333 0 0 0 -0.3333333333333333 0.6666666666666666 0 0 0 -0.6666666666666666 1 0 + 0.08333333333333333 -0.3333333333333333 0.5833333333333334 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 -0.5 0 + 0 0 0 0 Stored stages = 3 @@ -122,10 +131,11 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK45a + type = explicit MRI nmat = 2 stages = 6 method order (q) = 4 - embedding order (p) = 0 + embedding order (p) = 3 c = 0 0.2 0.4 0.6 0.8 1 W[0] = 0 0 0 0 0 0 @@ -134,6 +144,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.5121234603937985 1.955496920787597 -1.243373460393798 0 0 0 -0.1068927211587161 -4.656693056981116 3.994968532757531 0.9686172453823019 0 0 0.911960843690752 -0.1837327083772207 -1.193926866090864 -2.611983006811319 3.277681737588653 0 + -1.858584369075205 2.224667606006969 -0.5244469581796045 -0.09396291472257937 0.45232663597042 0 W[1] = 0 0 0 0 0 0 @@ -142,6 +153,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.0382530792124029 0.6952561584248058 -0.6570030792124029 0 0 0 1.87616694642529 3.003768197383342 -3 -1.879935143808632 0 0 -2.423803191489362 2 1 5 -5.576196808510638 0 + 3.304787234042553 -3.304787234042553 0 0 0 0 Stored stages = 5 @@ -158,6 +170,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_FORWARD_EULER + type = explicit MRI nmat = 1 stages = 2 method order (q) = 1 @@ -166,6 +179,7 @@ Testing method ARKODE_MRI_GARK_FORWARD_EULER W[0] = 0 0 1 0 + 0 0 Stored stages = 1 @@ -182,15 +196,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON2 + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.6666666666666666 1 W[0] = 0 0 0 0.6666666666666666 0 0 -0.4166666666666666 0.75 0 + 0.3333333333333334 0 0 Stored stages = 2 @@ -207,22 +223,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON3 + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.5 0.75 1 W[0] = 0 0 0 0 0.5 0 0 0 -2.75 3 0 0 1.305555555555556 -0.1666666666666667 -0.8888888888888888 0 + 0.025 0.175 0.05 0 W[1] = 0 0 0 0 0 0 0 0 4.5 -4.5 0 0 -2.166666666666667 -0.5 2.666666666666667 0 + 0 0 0 0 Stored stages = 3 @@ -243,6 +262,7 @@ Test implicit MRI methods ========================= Testing method ARKODE_MRI_GARK_BACKWARD_EULER + type = implicit MRI nmat = 1 stages = 3 method order (q) = 1 @@ -252,6 +272,7 @@ Testing method ARKODE_MRI_GARK_BACKWARD_EULER 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -273,19 +294,22 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK34a + type = implicit MRI nmat = 1 - stages = 7 + stages = 8 method order (q) = 3 - embedding order (p) = 0 - c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 + embedding order (p) = 2 + c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 1 G[0] = - 0 0 0 0 0 0 0 - 0.3333333333333333 0 0 0 0 0 0 - -0.435866521508459 0 0.435866521508459 0 0 0 0 - -0.3045790611944505 0 0.6379123945277838 0 0 0 0 - 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 - 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 - -0.435866521508459 0 0 0 0 0 0.435866521508459 + 0 0 0 0 0 0 0 0 + 0.3333333333333333 0 0 0 0 0 0 0 + -0.435866521508459 0 0.435866521508459 0 0 0 0 0 + -0.3045790611944505 0 0.6379123945277838 0 0 0 0 0 + 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 0 + 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 0 + -0.435866521508459 0 0 0 0 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 + 0.2453831999117524 0 0.4204215033044045 0 -1.576992606344066 0 0.9111879031279093 0 Stored stages = 4 @@ -307,36 +331,41 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK46a + type = implicit MRI nmat = 2 - stages = 11 + stages = 12 method order (q) = 4 - embedding order (p) = 0 - c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 + embedding order (p) = 3 + c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 1 G[0] = - 0 0 0 0 0 0 0 0 0 0 0 - 0.2 0 0 0 0 0 0 0 0 0 0 - -0.25 0 0.25 0 0 0 0 0 0 0 0 - 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 - 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 - 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 - 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 - -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 - 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 - -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 - 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0.2 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.25 0 0 0 0 0 0 0 0 0 + 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 0 + 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 0 + 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 0 + 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 0 + -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 0 + 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 0 + -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 0 + 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.6355065879145843 0 -0.2777146751476601 0 -0.4798955020445252 0 0.5009086778736938 0 -0.1288050885960927 0 G[1] = - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 - -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 - -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 - -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 - 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 - -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 - 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 - 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 0 + -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 0 + -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 0 + -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 0 + 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 0 + -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 0 + 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 0 + 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -358,6 +387,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT + type = implicit MRI nmat = 1 stages = 4 method order (q) = 2 @@ -368,6 +398,7 @@ Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -389,15 +420,18 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IRK21a + type = implicit MRI nmat = 1 - stages = 3 + stages = 4 method order (q) = 2 - embedding order (p) = 0 - c = 0 1 1 + embedding order (p) = 1 + c = 0 1 1 1 G[0] = - 0 0 0 - 1 0 0 - -0.5 0 0.5 + 0 0 0 0 + 1 0 0 0 + -0.5 0 0.5 0 + 0 0 0 0 + -0.5 0 0.5 0 Stored stages = 2 @@ -423,6 +457,7 @@ Test IMEX MRI methods ===================== Testing method ARKODE_IMEX_MRI_GARK3a + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -437,6 +472,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a -0.4271371821005074 0 0.1562747733103381 0 0.5529291480359398 0 0 0 0 0 0 0 0 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -447,6 +483,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a 0.435866521508459 0 0.9264299099302395 0 -1.080229692192928 0 0 0 -0.435866521508459 0 0 0 0 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -468,6 +505,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK3b + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -482,6 +520,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1195213959425454 0 -1.843725226689662 0 2.006270569992887 0 0 0 -0.5466585780430528 0 2 0 -1.453341421956947 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -492,6 +531,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1123373143006048 0 1.051807513648115 0 -0.8820780887029493 0 0 0 -0.1123373143006048 0 -0.1253776037178755 0 -0.1981516034899788 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -513,6 +553,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK4 + type = ImEx MRI nmat = 2 stages = 12 method order (q) = 4 @@ -531,6 +572,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.424429547752048 0 2.430325019757162 0 1.905479301151525 0 -1.231139266635725 0 -0.5552355065209142 0 0 0 -0.01044135044479749 0 0.07260303614655074 0 -0.1288275951677261 0 0.1129355350093824 0 -0.04626962554340952 0 0 0 -0.8108522787762101 0 0.2560073199220492 0 0.8068294072697528 0 -0.4557148228721824 0 -0.04626962554340952 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -545,6 +587,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -1.110471013041828 0 0 0 0 0 0 0 1.110471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -559,6 +602,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 3.337028151688726 0 1.547057811385124 0 -4.12988801314935 0 0.9260375565964145 0 -1.555235506520914 0 0 0 -0.8212936292210076 0 0.3286103560686 0 0.6780018121020267 0 -0.3427792878628 0 -0.09253925108681904 0 0.25 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -573,6 +617,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.610471013041828 0 0 0 0 0 0 0 2.610471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -594,6 +639,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_EULER + type = ImEx MRI nmat = 1 stages = 3 method order (q) = 1 @@ -603,11 +649,13 @@ Testing method ARKODE_IMEX_MRI_GARK_EULER 0 0 0 1 0 0 0 0 0 + 0 0 0 G[0] = 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -629,6 +677,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -639,12 +688,14 @@ Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT 0.5 0 0 0 0 0 0 0 -0.5 0 1 0 + 0 0 0 0 G[0] = 0 0 0 0 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -666,6 +717,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -676,12 +728,14 @@ Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL 1 0 0 0 0 0 0 0 -0.5 0 0.5 0 + 0 0 0 0 G[0] = 0 0 0 0 1 0 0 0 -0.5 0 0.5 0 0 0 0 0 + 0 0 0 0 Stored stages = 2 @@ -702,5 +756,391 @@ MRIStep Statistics: Comparing Solver Statistics: All checks passed +================= +Test MERK methods +================= + +Testing method ARKODE_MERK21 + type = MERK + nmat = 2 + stages = 3 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.5 1 + W[0] = + 0 0 0 + 1 0 0 + 1 0 0 + 1 0 0 + + W[1] = + 0 0 0 + 0 0 0 + -2 2 0 + 0 0 0 + + ngroup = 2 + group[0] = 1 3 + group[1] = 2 + Stored stages = 3 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.12939e-07 + Steps = 1 + Fe evals = 2 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK32 + type = MERK + nmat = 2 + stages = 4 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + + W[1] = + 0 0 0 0 + 0 0 0 0 + -2 2 0 0 + -1.5 0 1.5 0 + -2 2 0 0 + + ngroup = 3 + group[0] = 1 + group[1] = 2 4 + group[2] = 3 + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = 4.5532e-10 + Steps = 1 + Fe evals = 3 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK43 + type = MERK + nmat = 3 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.5 0.5 0.3333333333333333 0.8333333333333334 0.3333333333333333 1 + W[0] = + 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 + -2 2 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.200000000000001 0 0 0 -0.7999999999999999 5.000000000000001 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 3.6 0 0 0 2.4 -6 0 + 5.999999999999998 0 12 -18 0 0 0 + + ngroup = 4 + group[0] = 1 + group[1] = 3 2 + group[2] = 5 4 7 + group[3] = 6 + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.19176e-12 + Steps = 1 + Fe evals = 6 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK54 + type = MERK + nmat = 4 + stages = 11 + method order (q) = 5 + embedding order (p) = 4 + c = 0 0.5 0.5 0.3333333333333333 0.5 0.3333333333333333 0.25 0.7 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -4.928571428571431 0 0 0 0 0 0 71.42857142857147 28.00000000000001 -94.50000000000004 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 7.999999999999943 0 0 0 0 0 0 -250.0000000000001 -82.00000000000004 324.0000000000002 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + + W[3] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -4.285714285714278 0 0 0 0 0 0 214.2857142857144 60.00000000000002 -270.0000000000001 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + + ngroup = 5 + group[0] = 1 + group[1] = 3 2 + group[2] = 6 5 4 + group[3] = 8 9 7 11 + group[4] = 10 + Stored stages = 11 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -3.58946e-12 + Steps = 1 + Fe evals = 10 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +======================== +Test IMEX MRI SR methods +======================== + +Testing method ARKODE_IMEX_MRI_SR21 + type = MRISR + nmat = 1 + stages = 4 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.6 0.2666666666666667 1 + W[0] = + 0 0 0 0 + 0.6 0 0 0 + 0.08484848484848485 0.1818181818181818 0 0 + -0.2407407407407407 0.5074074074074074 0.7333333333333333 0 + -0.25 0.5 0.75 0 + + G[0] = + 0 0 0 0 + -0.4782608695652174 0.4782608695652174 0 0 + -0.1277806419583357 -0.3504802276068817 0.4782608695652174 0 + 0.1281737365715925 -0.9496349237862043 0.3432003176493945 0.4782608695652174 + -2.583333333333333 -0.1666666666666667 2.75 0 + + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970445 + Error = 6.56922e-07 + Steps = 1 + Fe evals = 3 + Fi evals = 6 + NLS iters = 3 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR32 + type = MRISR + nmat = 2 + stages = 5 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.6764705882352942 0.8 1.133333333333333 1 + W[0] = + 0 0 0 0 0 + 0.6764705882352942 0 0 0 0 + 1.014285714285714 -0.2142857142857143 0 0 0 + 0.1073593073593074 0.5714285714285714 0.4545454545454545 0 0 + 0.8641357630008525 0.08623188405797101 0.34375 -0.2941176470588235 0 + 1.020324985968944 -1.483870967741935 1.970588235294118 -0.5070422535211268 0 + + W[1] = + 0 0 0 0 0 + 0 0 0 0 0 + -0.2264473168820995 0.2264473168820995 0 0 0 + -1.741503979463316 8.210746794478919 -6.469242815015602 0 0 + -1.295451217034184 2.560595940177763 -2.104988533033297 0.8398438098897179 0 + -1.638681583030989 6.083126027475434 -5.777777777777778 1.333333333333333 0 + + G[0] = + 0 0 0 0 0 + -0.5714285714285714 0.5714285714285714 0 0 0 + -0.8655695979919582 0.2941410265633868 0.5714285714285714 0 0 + 1.211752194844657 -2.237726220818683 0.4545454545454545 0.5714285714285714 0 + 0.02135581474837214 -0.07308298152405064 -0.2010145240388127 -0.3186868806140802 0.5714285714285714 + -0.04323671497584541 0.05514147688060732 0.07142857142857142 -0.08333333333333333 0 + + G[1] = + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + + Stored stages = 5 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -3.76499e-09 + Steps = 1 + Fe evals = 4 + Fi evals = 8 + NLS iters = 4 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR43 + type = MRISR + nmat = 2 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.25 0.75 0.55 0.5 1 1 + W[0] = + 0 0 0 0 0 0 0 + 0.25 0 0 0 0 0 0 + 1.125 -0.375 0 0 0 0 0 + 0.07991452991452991 0.7777777777777778 -0.3076923076923077 0 0 0 0 + 0.3878787878787879 0.1666666666666667 -0.6 0.5454545454545454 0 0 0 + 3.307624927156177 -0.2222222222222222 -0.3636363636363636 -0.1666666666666667 -1.555099674630925 0 0 + 0 0.6363636363636364 -8.344696969696969 13.66792929292929 -7.083333333333333 2.123737373737374 0 + 0.0025 4.083333333333333 7.166666666666667 -0.7 -7.083333333333333 -2.469166666666667 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2.75 2.75 0 0 0 0 0 + -0.4198290598290598 -0.4088888888888889 0.8287179487179487 0 0 0 0 + -0.9169340463458111 0.6549019607843137 1.463235294117647 -1.20120320855615 0 0 0 + -6.615249854312355 7.027777777777778 -0.5227272727272727 25.33333333333333 -25.22313398407148 0 0 + 0 0.8106060606060606 14.64772727272727 -11.71085858585859 0 -3.747474747474747 0 + -0.005 -5.708333333333333 -14.6875 15.4625 0 4.938333333333333 0 + + G[0] = + 0 0 0 0 0 0 0 + -0.25 0.25 0 0 0 0 0 + 0.25 -0.5 0.25 0 0 0 0 + 0.13 -0.2333333333333333 -0.1466666666666667 0.25 0 0 0 + 0.07058823529411765 -0.2213235294117647 -0.1819852941176471 0.08272058823529412 0.25 0 0 + 0 -2.25 -0.3958333333333333 -4.6875 7.083333333333333 0.25 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + G[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -6.94172e-11 + Steps = 1 + Fe evals = 6 + Fi evals = 11 + NLS iters = 5 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + All tests passed! diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_1.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_1.out index 5311a51..9f48d82 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_1.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_test_dahlquist_mri_1.out @@ -14,6 +14,7 @@ Test explicit MRI methods ========================= Testing method ARKODE_MIS_KW3 + type = explicit MRI nmat = 1 stages = 4 method order (q) = 3 @@ -24,6 +25,7 @@ Testing method ARKODE_MIS_KW3 0.3333333333333333 0 0 0 -0.5208333333333333 0.9375 0 0 0.3541666666666666 -0.6375 0.5333333333333333 0 + 0 0 0 0 Stored stages = 3 @@ -40,15 +42,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22a + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.5 1 W[0] = 0 0 0 0.5 0 0 -0.5 1 0 + 0.5 0 0 Stored stages = 2 @@ -65,15 +69,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK22b + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 1 1 W[0] = 0 0 0 1 0 0 -0.5 0.5 0 + 0 0 0 Stored stages = 2 @@ -90,22 +96,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK33a + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.3333333333333333 0.6666666666666666 1 W[0] = 0 0 0 0 0.3333333333333333 0 0 0 -0.3333333333333333 0.6666666666666666 0 0 0 -0.6666666666666666 1 0 + 0.08333333333333333 -0.3333333333333333 0.5833333333333334 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0 -0.5 0 + 0 0 0 0 Stored stages = 3 @@ -122,10 +131,11 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ERK45a + type = explicit MRI nmat = 2 stages = 6 method order (q) = 4 - embedding order (p) = 0 + embedding order (p) = 3 c = 0 0.2 0.4 0.6 0.8 1 W[0] = 0 0 0 0 0 0 @@ -134,6 +144,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.5121234603937985 1.955496920787597 -1.243373460393798 0 0 0 -0.1068927211587161 -4.656693056981116 3.994968532757531 0.9686172453823019 0 0 0.911960843690752 -0.1837327083772207 -1.193926866090864 -2.611983006811319 3.277681737588653 0 + -1.858584369075205 2.224667606006969 -0.5244469581796045 -0.09396291472257937 0.45232663597042 0 W[1] = 0 0 0 0 0 0 @@ -142,6 +153,7 @@ Testing method ARKODE_MRI_GARK_ERK45a -0.0382530792124029 0.6952561584248058 -0.6570030792124029 0 0 0 1.87616694642529 3.003768197383342 -3 -1.879935143808632 0 0 -2.423803191489362 2 1 5 -5.576196808510638 0 + 3.304787234042553 -3.304787234042553 0 0 0 0 Stored stages = 5 @@ -158,6 +170,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_FORWARD_EULER + type = explicit MRI nmat = 1 stages = 2 method order (q) = 1 @@ -166,6 +179,7 @@ Testing method ARKODE_MRI_GARK_FORWARD_EULER W[0] = 0 0 1 0 + 0 0 Stored stages = 1 @@ -182,15 +196,17 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON2 + type = explicit MRI nmat = 1 stages = 3 method order (q) = 2 - embedding order (p) = 0 + embedding order (p) = 1 c = 0 0.6666666666666666 1 W[0] = 0 0 0 0.6666666666666666 0 0 -0.4166666666666666 0.75 0 + 0.3333333333333334 0 0 Stored stages = 2 @@ -207,22 +223,25 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_RALSTON3 + type = explicit MRI nmat = 2 stages = 4 method order (q) = 3 - embedding order (p) = 0 + embedding order (p) = 2 c = 0 0.5 0.75 1 W[0] = 0 0 0 0 0.5 0 0 0 -2.75 3 0 0 1.305555555555556 -0.1666666666666667 -0.8888888888888888 0 + 0.025 0.175 0.05 0 W[1] = 0 0 0 0 0 0 0 0 4.5 -4.5 0 0 -2.166666666666667 -0.5 2.666666666666667 0 + 0 0 0 0 Stored stages = 3 @@ -243,6 +262,7 @@ Test implicit MRI methods ========================= Testing method ARKODE_MRI_GARK_BACKWARD_EULER + type = implicit MRI nmat = 1 stages = 3 method order (q) = 1 @@ -252,6 +272,7 @@ Testing method ARKODE_MRI_GARK_BACKWARD_EULER 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -273,19 +294,22 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK34a + type = implicit MRI nmat = 1 - stages = 7 + stages = 8 method order (q) = 3 - embedding order (p) = 0 - c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 + embedding order (p) = 2 + c = 0 0.3333333333333333 0.3333333333333333 0.6666666666666666 0.6666666666666666 1 1 1 G[0] = - 0 0 0 0 0 0 0 - 0.3333333333333333 0 0 0 0 0 0 - -0.435866521508459 0 0.435866521508459 0 0 0 0 - -0.3045790611944505 0 0.6379123945277838 0 0 0 0 - 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 - 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 - -0.435866521508459 0 0 0 0 0 0.435866521508459 + 0 0 0 0 0 0 0 0 + 0.3333333333333333 0 0 0 0 0 0 0 + -0.435866521508459 0 0.435866521508459 0 0 0 0 0 + -0.3045790611944505 0 0.6379123945277838 0 0 0 0 0 + 0.2116913105640267 0 -0.6475578320724856 0 0.435866521508459 0 0 0 + 0.4454209388055495 0 0.8813784805616198 0 -0.993466086033836 0 0 0 + -0.435866521508459 0 0 0 0 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 + 0.2453831999117524 0 0.4204215033044045 0 -1.576992606344066 0 0.9111879031279093 0 Stored stages = 4 @@ -307,36 +331,41 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_ESDIRK46a + type = implicit MRI nmat = 2 - stages = 11 + stages = 12 method order (q) = 4 - embedding order (p) = 0 - c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 + embedding order (p) = 3 + c = 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1 1 1 G[0] = - 0 0 0 0 0 0 0 0 0 0 0 - 0.2 0 0 0 0 0 0 0 0 0 0 - -0.25 0 0.25 0 0 0 0 0 0 0 0 - 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 - 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 - 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 - 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 - -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 - 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 - -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 - 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0.2 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.25 0 0 0 0 0 0 0 0 0 + 0.9179311933794375 0 -0.7179311933794374 0 0 0 0 0 0 0 0 0 + 2.643172353961828 0 -2.893172353961828 0 0.25 0 0 0 0 0 0 0 + 0.501564151341775 0 0.06834736723773695 0 -0.369911518579512 0 0 0 0 0 0 0 + 4.342116951031425 0 0.03897604588394062 0 -4.631092996915365 0 0.25 0 0 0 0 0 + -1.690014953911908 0 0.7232372452056922 0 1.84784916447243 0 -0.681071455766214 0 0 0 0 0 + 3.315267994849762 0 1.086235127654301 0 -1.202424037428737 0 -3.449079085075326 0 0.25 0 0 0 + -1.563558636602688 0 1.020883954835773 0 2.489384426659126 0 -0.1865282766779755 0 -1.560181468214235 0 0 0 + 0.19 0 -0.2433333333333333 0 0.4233333333333333 0 0.4233333333333333 0 -1.043333333333333 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -0.25 0 0.6355065879145843 0 -0.2777146751476601 0 -0.4798955020445252 0 0.5009086778736938 0 -0.1288050885960927 0 G[1] = - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - 0 0 0 0 0 0 0 0 0 0 0 - -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 - -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 - -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 - -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 - 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 - -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 - 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 - 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + -1.735862386758875 0 1.735862386758875 0 0 0 0 0 0 0 0 0 + -5.82844997108155 0 5.82844997108155 0 0 0 0 0 0 0 0 0 + -0.4610230395256553 0 -0.9787999976333687 0 1.439823037159024 0 0 0 0 0 0 0 + -7.403989721900906 0 0.06115468960863698 0 7.342835032292269 0 0 0 0 0 0 0 + 2.099785727661873 0 -1.585581271787903 0 -2.976347367406398 0 2.462142911532428 0 0 0 0 0 + -5.523652150637583 0 -1.829811152193671 0 1.834216697306453 0 5.519246605524801 0 0 0 0 0 + 2.020233434143436 0 -2.384427012786476 0 -4.40813747576723 0 0.1519681179818014 0 4.62036293642847 0 0 0 + 0.12 0 -0.09666666666666666 0 0.2366666666666667 0 0.2366666666666667 0 -0.4966666666666666 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -358,6 +387,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT + type = implicit MRI nmat = 1 stages = 4 method order (q) = 2 @@ -368,6 +398,7 @@ Testing method ARKODE_MRI_GARK_IMPLICIT_MIDPOINT 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -389,15 +420,18 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_MRI_GARK_IRK21a + type = implicit MRI nmat = 1 - stages = 3 + stages = 4 method order (q) = 2 - embedding order (p) = 0 - c = 0 1 1 + embedding order (p) = 1 + c = 0 1 1 1 G[0] = - 0 0 0 - 1 0 0 - -0.5 0 0.5 + 0 0 0 0 + 1 0 0 0 + -0.5 0 0.5 0 + 0 0 0 0 + -0.5 0 0.5 0 Stored stages = 2 @@ -423,6 +457,7 @@ Test IMEX MRI methods ===================== Testing method ARKODE_IMEX_MRI_GARK3a + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -437,6 +472,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a -0.4271371821005074 0 0.1562747733103381 0 0.5529291480359398 0 0 0 0 0 0 0 0 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -447,6 +483,7 @@ Testing method ARKODE_IMEX_MRI_GARK3a 0.435866521508459 0 0.9264299099302395 0 -1.080229692192928 0 0 0 -0.435866521508459 0 0 0 0 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -468,6 +505,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK3b + type = ImEx MRI nmat = 1 stages = 8 method order (q) = 3 @@ -482,6 +520,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1195213959425454 0 -1.843725226689662 0 2.006270569992887 0 0 0 -0.5466585780430528 0 2 0 -1.453341421956947 0 0 0 0.1058582960718796 0 0.6555675011400702 0 -1.197292318720409 0 0.435866521508459 0 + 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 @@ -492,6 +531,7 @@ Testing method ARKODE_IMEX_MRI_GARK3b 0.1123373143006048 0 1.051807513648115 0 -0.8820780887029493 0 0 0 -0.1123373143006048 0 -0.1253776037178755 0 -0.1981516034899788 0 0.435866521508459 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 Stored stages = 4 @@ -513,6 +553,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK4 + type = ImEx MRI nmat = 2 stages = 12 method order (q) = 4 @@ -531,6 +572,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.424429547752048 0 2.430325019757162 0 1.905479301151525 0 -1.231139266635725 0 -0.5552355065209142 0 0 0 -0.01044135044479749 0 0.07260303614655074 0 -0.1288275951677261 0 0.1129355350093824 0 -0.04626962554340952 0 0 0 -0.8108522787762101 0 0.2560073199220492 0 0.8068294072697528 0 -0.4557148228721824 0 -0.04626962554340952 0 0.25 0 + 0 0 0 0 0 0 0 0 0 0 0 0 W[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -545,6 +587,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -1.110471013041828 0 0 0 0 0 0 0 1.110471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[0] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -559,6 +602,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 3.337028151688726 0 1.547057811385124 0 -4.12988801314935 0 0.9260375565964145 0 -1.555235506520914 0 0 0 -0.8212936292210076 0 0.3286103560686 0 0.6780018121020267 0 -0.3427792878628 0 -0.09253925108681904 0 0.25 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 G[1] = 0 0 0 0 0 0 0 0 0 0 0 0 @@ -573,6 +617,7 @@ Testing method ARKODE_IMEX_MRI_GARK4 -2.610471013041828 0 0 0 0 0 0 0 2.610471013041828 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 Stored stages = 6 @@ -594,6 +639,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_EULER + type = ImEx MRI nmat = 1 stages = 3 method order (q) = 1 @@ -603,11 +649,13 @@ Testing method ARKODE_IMEX_MRI_GARK_EULER 0 0 0 1 0 0 0 0 0 + 0 0 0 G[0] = 0 0 0 1 0 0 -1 0 1 + 0 0 0 Stored stages = 2 @@ -629,6 +677,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -639,12 +688,14 @@ Testing method ARKODE_IMEX_MRI_GARK_MIDPOINT 0.5 0 0 0 0 0 0 0 -0.5 0 1 0 + 0 0 0 0 G[0] = 0 0 0 0 0.5 0 0 0 -0.5 0 0.5 0 0 0 0.5 0 + 0 0 0 0 Stored stages = 2 @@ -666,6 +717,7 @@ Comparing Solver Statistics: All checks passed Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL + type = ImEx MRI nmat = 1 stages = 4 method order (q) = 2 @@ -676,12 +728,14 @@ Testing method ARKODE_IMEX_MRI_GARK_TRAPEZOIDAL 1 0 0 0 0 0 0 0 -0.5 0 0.5 0 + 0 0 0 0 G[0] = 0 0 0 0 1 0 0 0 -0.5 0 0.5 0 0 0 0 0 + 0 0 0 0 Stored stages = 2 @@ -702,5 +756,391 @@ MRIStep Statistics: Comparing Solver Statistics: All checks passed +================= +Test MERK methods +================= + +Testing method ARKODE_MERK21 + type = MERK + nmat = 2 + stages = 3 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.5 1 + W[0] = + 0 0 0 + 1 0 0 + 1 0 0 + 1 0 0 + + W[1] = + 0 0 0 + 0 0 0 + -2 2 0 + 0 0 0 + + ngroup = 2 + group[0] = 1 3 + group[1] = 2 + Stored stages = 3 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.12939e-07 + Steps = 1 + Fe evals = 2 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK32 + type = MERK + nmat = 2 + stages = 4 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + 1 0 0 0 + + W[1] = + 0 0 0 0 + 0 0 0 0 + -2 2 0 0 + -1.5 0 1.5 0 + -2 2 0 0 + + ngroup = 3 + group[0] = 1 + group[1] = 2 4 + group[2] = 3 + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = 4.5532e-10 + Steps = 1 + Fe evals = 3 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK43 + type = MERK + nmat = 3 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.5 0.5 0.3333333333333333 0.8333333333333334 0.3333333333333333 1 + W[0] = + 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 + -2 2 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + -4.200000000000001 0 0 0 -0.7999999999999999 5.000000000000001 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 + 3.6 0 0 0 2.4 -6 0 + 5.999999999999998 0 12 -18 0 0 0 + + ngroup = 4 + group[0] = 1 + group[1] = 3 2 + group[2] = 5 4 7 + group[3] = 6 + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -4.19176e-12 + Steps = 1 + Fe evals = 6 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_MERK54 + type = MERK + nmat = 4 + stages = 11 + method order (q) = 5 + embedding order (p) = 4 + c = 0 0.5 0.5 0.3333333333333333 0.5 0.3333333333333333 0.25 0.7 0.5 0.6666666666666666 1 + W[0] = + 0 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 0 0 0 + + W[1] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -2 2 0 0 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -4.999999999999998 0 -4 8.999999999999998 0 0 0 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + -4.928571428571431 0 0 0 0 0 0 71.42857142857147 28.00000000000001 -94.50000000000004 0 + -9.000000000000007 0 0 0 4 -27 32.00000000000001 0 0 0 0 + + W[2] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 5.999999999999998 0 12 -18 0 0 0 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + 7.999999999999943 0 0 0 0 0 0 -250.0000000000001 -82.00000000000004 324.0000000000002 0 + 26 0 0 0 -27.99999999999999 162 -160 0 0 0 0 + + W[3] = + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + -4.285714285714278 0 0 0 0 0 0 214.2857142857144 60.00000000000002 -270.0000000000001 0 + -24.00000000000006 0 0 0 47.99999999999999 -216 192.0000000000001 0 0 0 0 + + ngroup = 5 + group[0] = 1 + group[1] = 3 2 + group[2] = 6 5 4 + group[3] = 8 9 7 11 + group[4] = 10 + Stored stages = 11 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.980199 + y_n = 0.980199 + Error = -3.58946e-12 + Steps = 1 + Fe evals = 10 + Fi evals = 0 + +Comparing Solver Statistics: +All checks passed + +======================== +Test IMEX MRI SR methods +======================== + +Testing method ARKODE_IMEX_MRI_SR21 + type = MRISR + nmat = 1 + stages = 4 + method order (q) = 2 + embedding order (p) = 1 + c = 0 0.6 0.2666666666666667 1 + W[0] = + 0 0 0 0 + 0.6 0 0 0 + 0.08484848484848485 0.1818181818181818 0 0 + -0.2407407407407407 0.5074074074074074 0.7333333333333333 0 + -0.25 0.5 0.75 0 + + G[0] = + 0 0 0 0 + -0.4782608695652174 0.4782608695652174 0 0 + -0.1277806419583357 -0.3504802276068817 0.4782608695652174 0 + 0.1281737365715925 -0.9496349237862043 0.3432003176493945 0.4782608695652174 + -2.583333333333333 -0.1666666666666667 2.75 0 + + Stored stages = 4 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970445 + Error = 6.56922e-07 + Steps = 1 + Fe evals = 3 + Fi evals = 6 + NLS iters = 3 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR32 + type = MRISR + nmat = 2 + stages = 5 + method order (q) = 3 + embedding order (p) = 2 + c = 0 0.6764705882352942 0.8 1.133333333333333 1 + W[0] = + 0 0 0 0 0 + 0.6764705882352942 0 0 0 0 + 1.014285714285714 -0.2142857142857143 0 0 0 + 0.1073593073593074 0.5714285714285714 0.4545454545454545 0 0 + 0.8641357630008525 0.08623188405797101 0.34375 -0.2941176470588235 0 + 1.020324985968944 -1.483870967741935 1.970588235294118 -0.5070422535211268 0 + + W[1] = + 0 0 0 0 0 + 0 0 0 0 0 + -0.2264473168820995 0.2264473168820995 0 0 0 + -1.741503979463316 8.210746794478919 -6.469242815015602 0 0 + -1.295451217034184 2.560595940177763 -2.104988533033297 0.8398438098897179 0 + -1.638681583030989 6.083126027475434 -5.777777777777778 1.333333333333333 0 + + G[0] = + 0 0 0 0 0 + -0.5714285714285714 0.5714285714285714 0 0 0 + -0.8655695979919582 0.2941410265633868 0.5714285714285714 0 0 + 1.211752194844657 -2.237726220818683 0.4545454545454545 0.5714285714285714 0 + 0.02135581474837214 -0.07308298152405064 -0.2010145240388127 -0.3186868806140802 0.5714285714285714 + -0.04323671497584541 0.05514147688060732 0.07142857142857142 -0.08333333333333333 0 + + G[1] = + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + 0 0 0 0 0 + + Stored stages = 5 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -3.76499e-09 + Steps = 1 + Fe evals = 4 + Fi evals = 8 + NLS iters = 4 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + +Testing method ARKODE_IMEX_MRI_SR43 + type = MRISR + nmat = 2 + stages = 7 + method order (q) = 4 + embedding order (p) = 3 + c = 0 0.25 0.75 0.55 0.5 1 1 + W[0] = + 0 0 0 0 0 0 0 + 0.25 0 0 0 0 0 0 + 1.125 -0.375 0 0 0 0 0 + 0.07991452991452991 0.7777777777777778 -0.3076923076923077 0 0 0 0 + 0.3878787878787879 0.1666666666666667 -0.6 0.5454545454545454 0 0 0 + 3.307624927156177 -0.2222222222222222 -0.3636363636363636 -0.1666666666666667 -1.555099674630925 0 0 + 0 0.6363636363636364 -8.344696969696969 13.66792929292929 -7.083333333333333 2.123737373737374 0 + 0.0025 4.083333333333333 7.166666666666667 -0.7 -7.083333333333333 -2.469166666666667 0 + + W[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + -2.75 2.75 0 0 0 0 0 + -0.4198290598290598 -0.4088888888888889 0.8287179487179487 0 0 0 0 + -0.9169340463458111 0.6549019607843137 1.463235294117647 -1.20120320855615 0 0 0 + -6.615249854312355 7.027777777777778 -0.5227272727272727 25.33333333333333 -25.22313398407148 0 0 + 0 0.8106060606060606 14.64772727272727 -11.71085858585859 0 -3.747474747474747 0 + -0.005 -5.708333333333333 -14.6875 15.4625 0 4.938333333333333 0 + + G[0] = + 0 0 0 0 0 0 0 + -0.25 0.25 0 0 0 0 0 + 0.25 -0.5 0.25 0 0 0 0 + 0.13 -0.2333333333333333 -0.1466666666666667 0.25 0 0 0 + 0.07058823529411765 -0.2213235294117647 -0.1819852941176471 0.08272058823529412 0.25 0 0 + 0 -2.25 -0.3958333333333333 -4.6875 7.083333333333333 0.25 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + G[1] = + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 + + Stored stages = 7 + +MRIStep Statistics: + Time = 0.01 + y(t) = 0.970446 + y_n = 0.970446 + Error = -6.94172e-11 + Steps = 1 + Fe evals = 6 + Fi evals = 11 + NLS iters = 5 + NLS fails = 0 + LS setups = 1 + LS Fi evals = 0 + Ji evals = 1 + +Comparing Solver Statistics: +All checks passed + All tests passed! diff --git a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_twowaycouple_mri.out b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_twowaycouple_mri.out index 0d1c81a..238410d 100644 --- a/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_twowaycouple_mri.out +++ b/linux-ubuntu20.04-x86_64/gcc-9.4.0/single/ark_twowaycouple_mri.out @@ -6,26 +6,26 @@ Two way coupling ODE test problem: t u v w ----------------------------------------------- 0.000000 0.900010 -9.999001 1000.000000 - 0.100000 -0.929338 -8.503141 904.834961 - 0.200000 0.324720 -9.099948 818.716125 - 0.300000 0.083065 -6.419753 740.801575 - 0.400000 -0.737033 -7.444559 670.293213 - 0.500000 0.905701 -5.807259 606.497437 - 0.600000 -1.009557 -5.190407 548.855042 - 0.700000 0.599449 -5.727102 496.689636 - 0.800000 -0.188659 -3.504744 449.482056 - 0.900000 -0.364852 -5.016825 407.120117 - 1.000000 0.677508 -2.987634 368.780365 - 1.100000 -0.977374 -3.671191 334.143433 - 1.200000 0.969724 -3.029662 303.069122 - 1.300000 -0.971938 -2.419810 274.885864 - 1.400000 0.805944 -3.051595 249.536179 - 1.500000 -0.744381 -1.574357 226.683563 - 1.600000 0.570027 -2.866254 205.944855 - 1.700000 -0.460309 -0.973365 187.081329 - 1.800000 0.262176 -2.659797 169.968292 - 1.900000 -0.123710 -0.549664 154.397369 - 2.000000 -0.079914 -2.400486 140.276367 + 0.100000 -0.929325 -8.503078 904.834961 + 0.200000 0.324687 -9.099975 818.716797 + 0.300000 0.083011 -6.419787 740.800781 + 0.400000 -0.737023 -7.444717 670.292664 + 0.500000 0.905745 -5.807254 606.495422 + 0.600000 -1.009592 -5.190478 548.851135 + 0.700000 0.599501 -5.727115 496.685974 + 0.800000 -0.188716 -3.504771 449.477814 + 0.900000 -0.364817 -5.016829 407.115021 + 1.000000 0.677459 -2.987615 368.776093 + 1.100000 -0.977291 -3.670839 334.140259 + 1.200000 0.969534 -3.029652 303.067596 + 1.300000 -0.971714 -2.419631 274.886139 + 1.400000 0.805689 -3.051476 249.536789 + 1.500000 -0.744139 -1.574343 226.686249 + 1.600000 0.569773 -2.866079 205.947739 + 1.700000 -0.460079 -0.973462 187.084702 + 1.800000 0.261956 -2.659562 169.971237 + 1.900000 -0.123545 -0.549827 154.400940 + 2.000000 -0.080048 -2.400244 140.279785 ----------------------------------------------- Final Solver Statistics: