ans = 2 3 3 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k3pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 3 steps t=0.036000 (5.218668e-01) L2 error at time of violation: 0.131051 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 ---TVD Violated after 3 steps t=0.033600 (4.043986e-02) L2 error at time of violation: 0.119127 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01111-0.00279 (0.00832) Potential Increase in error ---TVD Preserved --Testing dt=0.01112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01112-0.00268 (0.00844) Potential Increase in error ---TVD Preserved --Testing dt=0.01113 ---TVD Violated after 3 steps t=0.033390 (7.848687e-04) L2 error at time of violation: 0.118171 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011121-0.002669 (0.008452) Potential Increase in error ---TVD Preserved --Testing dt=0.011122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011122-0.002658 (0.008464) Potential Increase in error ---TVD Preserved --Testing dt=0.011123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011123-0.002647 (0.008476) Potential Increase in error ---TVD Preserved --Testing dt=0.011124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011124-0.002636 (0.008488) Potential Increase in error ---TVD Preserved --Testing dt=0.011125 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011125-0.002625 (0.0085) Potential Increase in error ---TVD Preserved --Testing dt=0.011126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011126-0.002614 (0.008512) Potential Increase in error ---TVD Preserved --Testing dt=0.011127 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011127-0.002603 (0.008524) Potential Increase in error ---TVD Preserved --Testing dt=0.011128 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011128-0.002592 (0.008536) Potential Increase in error ---TVD Preserved --Testing dt=0.011129 ---TVD Violated after 3 steps t=0.033387 (2.212483e-04) L2 error at time of violation: 0.118157 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011128 Theoretial Max dt=0.011129 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k3pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 3 steps t=0.036000 (-1.432006e-02) L2 error at time of violation: 0.131051 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 ---POS Violated after 3 steps t=0.033600 (-1.228539e-03) L2 error at time of violation: 0.119127 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01111-0.00279 (0.00832) Potential Increase in error ---POS Preserved --Testing dt=0.01112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01112-0.00268 (0.00844) Potential Increase in error ---POS Preserved --Testing dt=0.01113 ---POS Violated after 3 steps t=0.033390 (-2.405834e-05) L2 error at time of violation: 0.118171 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011121 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011121-0.002669 (0.008452) Potential Increase in error ---POS Preserved --Testing dt=0.011122 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011122-0.002658 (0.008464) Potential Increase in error ---POS Preserved --Testing dt=0.011123 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011123-0.002647 (0.008476) Potential Increase in error ---POS Preserved --Testing dt=0.011124 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011124-0.002636 (0.008488) Potential Increase in error ---POS Preserved --Testing dt=0.011125 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011125-0.002625 (0.0085) Potential Increase in error ---POS Preserved --Testing dt=0.011126 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011126-0.002614 (0.008512) Potential Increase in error ---POS Preserved --Testing dt=0.011127 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011127-0.002603 (0.008524) Potential Increase in error ---POS Preserved --Testing dt=0.011128 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011128-0.002592 (0.008536) Potential Increase in error ---POS Preserved --Testing dt=0.011129 ---POS Violated after 3 steps t=0.033387 (-6.782723e-06) L2 error at time of violation: 0.118157 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011128 Theoretial Max dt=0.011129 results_pos = max_dt: 0.0111 s: 2 k: 3 p: [] dx: 0.0100 r: 1.1129 ans = 6 3 3 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k3pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---TVD Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.025 ---TVD Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---TVD Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---TVD Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---TVD Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---TVD Preserved --Testing dt=0.038 ---TVD Violated after 3 steps t=0.114000 (8.314787e-02) L2 error at time of violation: 0.139142 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0371-0.0137 (0.0234) Potential Increase in error ---TVD Preserved --Testing dt=0.0372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0372-0.0134 (0.0238) Potential Increase in error ---TVD Preserved --Testing dt=0.0373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0373-0.0131 (0.0242) Potential Increase in error ---TVD Preserved --Testing dt=0.0374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0374-0.0128 (0.0246) Potential Increase in error ---TVD Preserved --Testing dt=0.0375 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0375-0.0125 (0.025) Potential Increase in error ---TVD Preserved --Testing dt=0.0376 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0376-0.0122 (0.0254) Potential Increase in error ---TVD Preserved --Testing dt=0.0377 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0377-0.0119 (0.0258) Potential Increase in error ---TVD Preserved --Testing dt=0.0378 ---TVD Violated after 3 steps t=0.113400 (1.137480e-02) L2 error at time of violation: 0.138319 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03771-0.01187 (0.02584) Potential Increase in error ---TVD Preserved --Testing dt=0.03772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03772-0.01184 (0.02588) Potential Increase in error ---TVD Preserved --Testing dt=0.03773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03773-0.01181 (0.02592) Potential Increase in error ---TVD Preserved --Testing dt=0.03774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03774-0.01178 (0.02596) Potential Increase in error ---TVD Preserved --Testing dt=0.03775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03775-0.01175 (0.026) Potential Increase in error ---TVD Preserved --Testing dt=0.03776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03776-0.01172 (0.02604) Potential Increase in error ---TVD Preserved --Testing dt=0.03777 ---TVD Violated after 3 steps t=0.113310 (9.121343e-04) L2 error at time of violation: 0.138198 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.037761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037761-0.011717 (0.026044) Potential Increase in error ---TVD Preserved --Testing dt=0.037762 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037762-0.011714 (0.026048) Potential Increase in error ---TVD Preserved --Testing dt=0.037763 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037763-0.011711 (0.026052) Potential Increase in error ---TVD Preserved --Testing dt=0.037764 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037764-0.011708 (0.026056) Potential Increase in error ---TVD Preserved --Testing dt=0.037765 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037765-0.011705 (0.02606) Potential Increase in error ---TVD Preserved --Testing dt=0.037766 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037766-0.011702 (0.026064) Potential Increase in error ---TVD Preserved --Testing dt=0.037767 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037767-0.011699 (0.026068) Potential Increase in error ---TVD Preserved --Testing dt=0.037768 ---TVD Violated after 3 steps t=0.113304 (2.174013e-04) L2 error at time of violation: 0.13819 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.037767 Theoretial Max dt=0.037767 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k3pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 ---POS Violated after 3 steps t=0.114000 (-3.507025e-03) L2 error at time of violation: 0.139142 Refining dt search increment 0.001->0.0001 --Testing dt=0.0371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0371-0.0137 (0.0234) Potential Increase in error ---POS Preserved --Testing dt=0.0372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0372-0.0134 (0.0238) Potential Increase in error ---POS Preserved --Testing dt=0.0373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0373-0.0131 (0.0242) Potential Increase in error ---POS Preserved --Testing dt=0.0374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0374-0.0128 (0.0246) Potential Increase in error ---POS Preserved --Testing dt=0.0375 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0375-0.0125 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.0376 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0376-0.0122 (0.0254) Potential Increase in error ---POS Preserved --Testing dt=0.0377 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0377-0.0119 (0.0258) Potential Increase in error ---POS Preserved --Testing dt=0.0378 ---POS Violated after 3 steps t=0.113400 (-4.883951e-04) L2 error at time of violation: 0.138319 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03771 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03771-0.01187 (0.02584) Potential Increase in error ---POS Preserved --Testing dt=0.03772 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03772-0.01184 (0.02588) Potential Increase in error ---POS Preserved --Testing dt=0.03773 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03773-0.01181 (0.02592) Potential Increase in error ---POS Preserved --Testing dt=0.03774 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03774-0.01178 (0.02596) Potential Increase in error ---POS Preserved --Testing dt=0.03775 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03775-0.01175 (0.026) Potential Increase in error ---POS Preserved --Testing dt=0.03776 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03776-0.01172 (0.02604) Potential Increase in error ---POS Preserved --Testing dt=0.03777 ---POS Violated after 3 steps t=0.113310 (-3.926928e-05) L2 error at time of violation: 0.138198 Refining dt search increment 1e-05->1e-06 --Testing dt=0.037761 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037761-0.011717 (0.026044) Potential Increase in error ---POS Preserved --Testing dt=0.037762 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037762-0.011714 (0.026048) Potential Increase in error ---POS Preserved --Testing dt=0.037763 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037763-0.011711 (0.026052) Potential Increase in error ---POS Preserved --Testing dt=0.037764 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037764-0.011708 (0.026056) Potential Increase in error ---POS Preserved --Testing dt=0.037765 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037765-0.011705 (0.02606) Potential Increase in error ---POS Preserved --Testing dt=0.037766 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037766-0.011702 (0.026064) Potential Increase in error ---POS Preserved --Testing dt=0.037767 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037767-0.011699 (0.026068) Potential Increase in error ---POS Preserved --Testing dt=0.037768 ---POS Violated after 3 steps t=0.113304 (-9.361257e-06) L2 error at time of violation: 0.13819 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.037767 Theoretial Max dt=0.037767 results_pos = max_dt: 0.0378 s: 6 k: 3 p: [] dx: 0.0100 r: 3.7767 ans = 3 1 3 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK3 > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 ---TVD Preserved --Testing dt=0.003 ---TVD Preserved --Testing dt=0.004 ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Preserved --Testing dt=0.007 ---TVD Preserved --Testing dt=0.008 ---TVD Preserved --Testing dt=0.009 ---TVD Preserved --Testing dt=0.01 ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 1 steps t=0.011000 (2.420000e-01) L2 error at time of violation: 0.131469 TV Norm History: 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---TVD Violated after 1 steps t=0.010100 (2.040200e-02) L2 error at time of violation: 0.132435 TV Norm History: 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01001 ---TVD Violated after 1 steps t=0.010010 (2.004002e-03) L2 error at time of violation: 0.132647 TV Norm History: 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010001 ---TVD Violated after 1 steps t=0.010001 (2.000400e-04) L2 error at time of violation: 0.132669 TV Norm History: 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010000 Theoretial Max dt=0.010000 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK3 > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.01 ---POS Preserved --Testing dt=0.011 ---POS Violated after 4 steps t=0.044000 (-2.201479e-04) L2 error at time of violation: 0.107818 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---POS Preserved --Testing dt=0.0102 ---POS Preserved --Testing dt=0.0103 ---POS Violated after 12 steps t=0.123600 (-6.463353e-11) L2 error at time of violation: 0.132818 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01021 ---POS Preserved --Testing dt=0.01022 ---POS Preserved --Testing dt=0.01023 ---POS Preserved --Testing dt=0.01024 ---POS Preserved --Testing dt=0.01025 ---POS Preserved --Testing dt=0.01026 ---POS Preserved --Testing dt=0.01027 ---POS Preserved --Testing dt=0.01028 ---POS Preserved --Testing dt=0.01029 ---POS Violated after 12 steps t=0.123480 (-1.874193e-11) L2 error at time of violation: 0.132952 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010281 ---POS Preserved --Testing dt=0.010282 ---POS Preserved --Testing dt=0.010283 ---POS Preserved --Testing dt=0.010284 ---POS Preserved --Testing dt=0.010285 ---POS Preserved --Testing dt=0.010286 ---POS Violated after 12 steps t=0.123432 (-1.232575e-12) L2 error at time of violation: 0.133006 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010285 Theoretial Max dt=0.010000 results_pos = max_dt: 0.0103 s: [] k: 1 p: 3 dx: 0.0100 r: 1 ans = 7 3 3 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k3pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---TVD Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.025 ---TVD Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---TVD Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---TVD Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---TVD Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---TVD Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---TVD Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---TVD Preserved --Testing dt=0.04 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.04-0.005 (0.035) Potential Increase in error ---TVD Preserved --Testing dt=0.041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.041-0.002 (0.039) Potential Increase in error ---TVD Preserved --Testing dt=0.042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.042-0.041 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.043-0.039 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.044-0.037 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.045-0.035 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.046-0.033 (0.013) Potential Increase in error ---TVD Preserved --Testing dt=0.047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.047-0.031 (0.016) Potential Increase in error ---TVD Preserved --Testing dt=0.048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.048-0.029 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.049 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.049-0.027 (0.022) Potential Increase in error ---TVD Preserved --Testing dt=0.05 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.05-0.025 (0.025) Potential Increase in error ---TVD Preserved --Testing dt=0.051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.051-0.023 (0.028) Potential Increase in error ---TVD Preserved --Testing dt=0.052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.052-0.021 (0.031) Potential Increase in error ---TVD Preserved --Testing dt=0.053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.053-0.019 (0.034) Potential Increase in error ---TVD Preserved --Testing dt=0.054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.054-0.017 (0.037) Potential Increase in error ---TVD Preserved --Testing dt=0.055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.055-0.015 (0.04) Potential Increase in error ---TVD Preserved --Testing dt=0.056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.056-0.013 (0.043) Potential Increase in error ---TVD Preserved --Testing dt=0.057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.057-0.011 (0.046) Potential Increase in error ---TVD Preserved --Testing dt=0.058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.058-0.009 (0.049) Potential Increase in error ---TVD Preserved --Testing dt=0.059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.059-0.007 (0.052) Potential Increase in error ---TVD Preserved --Testing dt=0.06 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.06-0.005 (0.055) Potential Increase in error ---TVD Preserved --Testing dt=0.061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.061-0.003 (0.058) Potential Increase in error ---TVD Preserved --Testing dt=0.062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.062-0.001 (0.061) Potential Increase in error ---TVD Preserved --Testing dt=0.063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.063-0.062 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.064 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---TVD Violated after 3 steps t=0.192000 (7.174122e+01) L2 error at time of violation: 1.20688 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0631 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---TVD Violated after 3 steps t=0.189300 (6.172084e+01) L2 error at time of violation: 1.11818 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.06301 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---TVD Violated after 3 steps t=0.189030 (6.078738e+01) L2 error at time of violation: 1.10313 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.063001 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---TVD Violated after 3 steps t=0.189003 (6.069469e+01) L2 error at time of violation: 1.10164 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.063000 Theoretial Max dt=0.044835 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k3pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.041-0.002 (0.039) Potential Increase in error ---POS Preserved --Testing dt=0.042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.042-0.041 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.043-0.039 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.044-0.037 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.045-0.035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.046-0.033 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.047-0.031 (0.016) Potential Increase in error ---POS Preserved --Testing dt=0.048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.048-0.029 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.049 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.049-0.027 (0.022) Potential Increase in error ---POS Preserved --Testing dt=0.05 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.05-0.025 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.051-0.023 (0.028) Potential Increase in error ---POS Preserved --Testing dt=0.052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.052-0.021 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.053-0.019 (0.034) Potential Increase in error ---POS Preserved --Testing dt=0.054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.054-0.017 (0.037) Potential Increase in error ---POS Preserved --Testing dt=0.055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.055-0.015 (0.04) Potential Increase in error ---POS Preserved --Testing dt=0.056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.056-0.013 (0.043) Potential Increase in error ---POS Preserved --Testing dt=0.057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.057-0.011 (0.046) Potential Increase in error ---POS Preserved --Testing dt=0.058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.058-0.009 (0.049) Potential Increase in error ---POS Preserved --Testing dt=0.059 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.059-0.007 (0.052) Potential Increase in error ---POS Preserved --Testing dt=0.06 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.06-0.005 (0.055) Potential Increase in error ---POS Preserved --Testing dt=0.061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.061-0.003 (0.058) Potential Increase in error ---POS Preserved --Testing dt=0.062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.062-0.001 (0.061) Potential Increase in error ---POS Preserved --Testing dt=0.063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.063-0.062 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.064 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.192000 (-5.576894e+00) L2 error at time of violation: 1.20688 Refining dt search increment 0.001->0.0001 --Testing dt=0.0631 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.189300 (-4.728265e+00) L2 error at time of violation: 1.11818 Refining dt search increment 0.0001->1e-05 --Testing dt=0.06301 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.189030 (-4.648850e+00) L2 error at time of violation: 1.10313 Refining dt search increment 1e-05->1e-06 --Testing dt=0.063001 Skip value (2*dt) greater than t_end=0.125000 Extending t_end 0.125000->0.378000 ---POS Violated after 3 steps t=0.189003 (-4.640961e+00) L2 error at time of violation: 1.10164 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.063000 Theoretial Max dt=0.044835 results_pos = max_dt: 0.0630 s: 7 k: 3 p: [] dx: 0.0100 r: 4.4835 ans = 10 1 4 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.SSP104: SSP(10,4) > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 ---TVD Preserved --Testing dt=0.003 ---TVD Preserved --Testing dt=0.004 ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Preserved --Testing dt=0.007 ---TVD Preserved --Testing dt=0.008 ---TVD Preserved --Testing dt=0.009 ---TVD Preserved --Testing dt=0.01 ---TVD Preserved --Testing dt=0.011 ---TVD Preserved --Testing dt=0.012 ---TVD Preserved --Testing dt=0.013 ---TVD Preserved --Testing dt=0.014 ---TVD Preserved --Testing dt=0.015 ---TVD Preserved --Testing dt=0.016 ---TVD Preserved --Testing dt=0.017 ---TVD Preserved --Testing dt=0.018 ---TVD Preserved --Testing dt=0.019 ---TVD Preserved --Testing dt=0.02 ---TVD Preserved --Testing dt=0.021 ---TVD Preserved --Testing dt=0.022 ---TVD Preserved --Testing dt=0.023 ---TVD Preserved --Testing dt=0.024 ---TVD Preserved --Testing dt=0.025 ---TVD Preserved --Testing dt=0.026 ---TVD Preserved --Testing dt=0.027 ---TVD Preserved --Testing dt=0.028 ---TVD Preserved --Testing dt=0.029 ---TVD Preserved --Testing dt=0.03 ---TVD Preserved --Testing dt=0.031 ---TVD Preserved --Testing dt=0.032 ---TVD Preserved --Testing dt=0.033 ---TVD Preserved --Testing dt=0.034 ---TVD Preserved --Testing dt=0.035 ---TVD Preserved --Testing dt=0.036 ---TVD Preserved --Testing dt=0.037 ---TVD Preserved --Testing dt=0.038 ---TVD Preserved --Testing dt=0.039 ---TVD Preserved --Testing dt=0.04 ---TVD Preserved --Testing dt=0.041 ---TVD Preserved --Testing dt=0.042 ---TVD Preserved --Testing dt=0.043 ---TVD Preserved --Testing dt=0.044 ---TVD Preserved --Testing dt=0.045 ---TVD Preserved --Testing dt=0.046 ---TVD Preserved --Testing dt=0.047 ---TVD Preserved --Testing dt=0.048 ---TVD Preserved --Testing dt=0.049 ---TVD Preserved --Testing dt=0.05 ---TVD Preserved --Testing dt=0.051 ---TVD Preserved --Testing dt=0.052 ---TVD Preserved --Testing dt=0.053 ---TVD Preserved --Testing dt=0.054 ---TVD Preserved --Testing dt=0.055 ---TVD Preserved --Testing dt=0.056 ---TVD Preserved --Testing dt=0.057 ---TVD Preserved --Testing dt=0.058 ---TVD Preserved --Testing dt=0.059 ---TVD Preserved --Testing dt=0.06 ---TVD Violated after 1 steps t=0.060000 (2.637890e-13) L2 error at time of violation: 0.146023 TV Norm History: 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0591 ---TVD Preserved --Testing dt=0.0592 ---TVD Preserved --Testing dt=0.0593 ---TVD Preserved --Testing dt=0.0594 ---TVD Preserved --Testing dt=0.0595 ---TVD Preserved --Testing dt=0.0596 ---TVD Preserved --Testing dt=0.0597 ---TVD Preserved --Testing dt=0.0598 ---TVD Preserved --Testing dt=0.0599 ---TVD Preserved --Testing dt=0.06 ---TVD Violated after 1 steps t=0.060000 (2.753353e-13) L2 error at time of violation: 0.146023 TV Norm History: 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.05991 ---TVD Preserved --Testing dt=0.05992 ---TVD Preserved --Testing dt=0.05993 ---TVD Preserved --Testing dt=0.05994 ---TVD Preserved --Testing dt=0.05995 ---TVD Preserved --Testing dt=0.05996 ---TVD Preserved --Testing dt=0.05997 ---TVD Preserved --Testing dt=0.05998 ---TVD Preserved --Testing dt=0.05999 ---TVD Preserved --Testing dt=0.06 ---TVD Violated after 1 steps t=0.060000 (2.842171e-13) L2 error at time of violation: 0.1627 TV Norm History: 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.059991 ---TVD Preserved --Testing dt=0.059992 ---TVD Preserved --Testing dt=0.059993 ---TVD Preserved --Testing dt=0.059994 ---TVD Preserved --Testing dt=0.059995 ---TVD Preserved --Testing dt=0.059996 ---TVD Preserved --Testing dt=0.059997 ---TVD Preserved --Testing dt=0.059998 ---TVD Preserved --Testing dt=0.059999 ---TVD Preserved --Testing dt=0.06 ---TVD Violated after 1 steps t=0.060000 (2.886580e-13) L2 error at time of violation: 0.1627 TV Norm History: 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.059999 Theoretial Max dt=0.060000 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.SSP104: SSP(10,4) > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.055 ---POS Preserved --Testing dt=0.056 ---POS Preserved --Testing dt=0.057 ---POS Preserved --Testing dt=0.058 ---POS Preserved --Testing dt=0.059 ---POS Preserved --Testing dt=0.06 ---POS Preserved --Testing dt=0.061 ---POS Violated after 1 steps t=0.061000 (-2.203361e-02) L2 error at time of violation: 0.163921 Refining dt search increment 0.001->0.0001 --Testing dt=0.0601 ---POS Preserved --Testing dt=0.0602 ---POS Preserved --Testing dt=0.0603 ---POS Preserved --Testing dt=0.0604 ---POS Violated after 2 steps t=0.120800 (-3.457712e-04) L2 error at time of violation: 0.169737 Refining dt search increment 0.0001->1e-05 --Testing dt=0.06031 ---POS Preserved --Testing dt=0.06032 ---POS Preserved --Testing dt=0.06033 ---POS Violated after 2 steps t=0.120660 (-1.520093e-06) L2 error at time of violation: 0.169436 Refining dt search increment 1e-05->1e-06 --Testing dt=0.060321 ---POS Preserved --Testing dt=0.060322 ---POS Preserved --Testing dt=0.060323 ---POS Preserved --Testing dt=0.060324 ---POS Preserved --Testing dt=0.060325 ---POS Preserved --Testing dt=0.060326 ---POS Preserved --Testing dt=0.060327 ---POS Preserved --Testing dt=0.060328 ---POS Preserved --Testing dt=0.060329 ---POS Preserved --Testing dt=0.06033 ---POS Violated after 2 steps t=0.120660 (-1.520093e-06) L2 error at time of violation: 0.169436 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.060329 Theoretial Max dt=0.060000 results_pos = max_dt: 0.0603 s: 10 k: 1 p: 4 dx: 0.0100 r: 6 ans = 4 1 4 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK4: Classic 4th Order Runge-Kutta > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 ---TVD Preserved --Testing dt=0.003 ---TVD Preserved --Testing dt=0.004 ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 ---TVD Preserved --Testing dt=0.007 ---TVD Preserved --Testing dt=0.008 ---TVD Preserved --Testing dt=0.009 ---TVD Preserved --Testing dt=0.01 ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 1 steps t=0.011000 (8.873333e-02) L2 error at time of violation: 0.110157 TV Norm History: 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---TVD Violated after 1 steps t=0.010100 (6.868673e-03) L2 error at time of violation: 0.118195 TV Norm History: 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01001 ---TVD Violated after 1 steps t=0.010010 (6.686687e-04) L2 error at time of violation: 0.118996 TV Norm History: 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010001 ---TVD Violated after 1 steps t=0.010001 (6.668667e-05) L2 error at time of violation: 0.119076 TV Norm History: 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010000 Theoretial Max dt=0.000000 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.RK4: Classic 4th Order Runge-Kutta > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.001 ---POS Preserved --Testing dt=0.002 ---POS Preserved --Testing dt=0.003 ---POS Preserved --Testing dt=0.004 ---POS Preserved --Testing dt=0.005 ---POS Preserved --Testing dt=0.006 ---POS Preserved --Testing dt=0.007 ---POS Preserved --Testing dt=0.008 ---POS Preserved --Testing dt=0.009 ---POS Preserved --Testing dt=0.01 ---POS Preserved --Testing dt=0.011 ---POS Violated after 3 steps t=0.033000 (-2.063887e-05) L2 error at time of violation: 0.105356 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---POS Preserved --Testing dt=0.0102 ---POS Preserved --Testing dt=0.0103 ---POS Preserved --Testing dt=0.0104 ---POS Violated after 7 steps t=0.072800 (-5.029345e-11) L2 error at time of violation: 0.120317 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01031 ---POS Preserved --Testing dt=0.01032 ---POS Violated after 9 steps t=0.092880 (-1.367948e-13) L2 error at time of violation: 0.125816 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010311 ---POS Preserved --Testing dt=0.010312 ---POS Violated after 9 steps t=0.092808 (-1.020677e-13) L2 error at time of violation: 0.125926 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010311 Theoretial Max dt=0.000000 results_pos = max_dt: 0.0103 s: [] k: 1 p: 4 dx: 0.0100 r: 0 ans = 2 3 4 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k4pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 4 steps t=0.020000 (3.919823e-04) L2 error at time of violation: 0.0537637 TV Norm History: 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---TVD Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---TVD Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0049 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0049-0.0025 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Violated after 4 steps t=0.020000 (3.919823e-04) L2 error at time of violation: 0.0606292 TV Norm History: 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00491-0.00225 (0.00266) Potential Increase in error ---TVD Preserved --Testing dt=0.00492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00492-0.002 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00493-0.00175 (0.00318) Potential Increase in error ---TVD Preserved --Testing dt=0.00494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00494-0.0015 (0.00344) Potential Increase in error ---TVD Preserved --Testing dt=0.00495 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00495-0.00125 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.00496 ---TVD Violated after 4 steps t=0.019840 (5.801518e-05) L2 error at time of violation: 0.0538204 TV Norm History: 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004951-0.001225 (0.003726) Potential Increase in error ---TVD Preserved --Testing dt=0.004952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004952-0.0012 (0.003752) Potential Increase in error ---TVD Preserved --Testing dt=0.004953 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004953-0.001175 (0.003778) Potential Increase in error ---TVD Preserved --Testing dt=0.004954 ---TVD Violated after 4 steps t=0.019816 (5.539152e-06) L2 error at time of violation: 0.0538299 TV Norm History: 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004953 Theoretial Max dt=0.004953 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 2s3k4pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.005 ---POS Violated after 4 steps t=0.020000 (-9.799558e-05) L2 error at time of violation: 0.0537637 Refining dt search increment 0.001->0.0001 --Testing dt=0.0041 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0041-0.002 (0.0021) Potential Increase in error ---POS Preserved --Testing dt=0.0042 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0042-0.0032 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0043 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0043-0.0003 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0044 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0044-0.0018 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0045 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0045-0.0035 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0046 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0046-0.0008 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0047 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0047-0.0028 (0.0019) Potential Increase in error ---POS Preserved --Testing dt=0.0048 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0048-0.0002 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0049 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0049-0.0025 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.005 ---POS Violated after 4 steps t=0.020000 (-9.799558e-05) L2 error at time of violation: 0.0606292 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00491 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00491-0.00225 (0.00266) Potential Increase in error ---POS Preserved --Testing dt=0.00492 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00492-0.002 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.00493 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00493-0.00175 (0.00318) Potential Increase in error ---POS Preserved --Testing dt=0.00494 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00494-0.0015 (0.00344) Potential Increase in error ---POS Preserved --Testing dt=0.00495 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00495-0.00125 (0.0037) Potential Increase in error ---POS Preserved --Testing dt=0.00496 ---POS Violated after 4 steps t=0.019840 (-1.450379e-05) L2 error at time of violation: 0.0538204 Refining dt search increment 1e-05->1e-06 --Testing dt=0.004951 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004951-0.001225 (0.003726) Potential Increase in error ---POS Preserved --Testing dt=0.004952 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004952-0.0012 (0.003752) Potential Increase in error ---POS Preserved --Testing dt=0.004953 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004953-0.001175 (0.003778) Potential Increase in error ---POS Preserved --Testing dt=0.004954 ---POS Violated after 4 steps t=0.019816 (-1.384788e-06) L2 error at time of violation: 0.0538299 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.004953 Theoretial Max dt=0.004953 results_pos = max_dt: 0.0050 s: 2 k: 3 p: [] dx: 0.0100 r: 0.4953 ans = 3 4 4 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k4pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 4 steps t=0.056000 (1.498113e-01) L2 error at time of violation: 0.119165 TV Norm History: 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---TVD Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.0137 ---TVD Violated after 4 steps t=0.054800 (1.907997e-02) L2 error at time of violation: 0.117903 TV Norm History: 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01361 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01361-0.00251 (0.0111) Potential Increase in error ---TVD Preserved --Testing dt=0.01362 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01362-0.00242 (0.0112) Potential Increase in error ---TVD Preserved --Testing dt=0.01363 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01363-0.00233 (0.0113) Potential Increase in error ---TVD Preserved --Testing dt=0.01364 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01364-0.00224 (0.0114) Potential Increase in error ---TVD Preserved --Testing dt=0.01365 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01365-0.00215 (0.0115) Potential Increase in error ---TVD Preserved --Testing dt=0.01366 ---TVD Violated after 4 steps t=0.054640 (2.257711e-03) L2 error at time of violation: 0.117746 TV Norm History: 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013651-0.002141 (0.01151) Potential Increase in error ---TVD Preserved --Testing dt=0.013652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013652-0.002132 (0.01152) Potential Increase in error ---TVD Preserved --Testing dt=0.013653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013653-0.002123 (0.01153) Potential Increase in error ---TVD Preserved --Testing dt=0.013654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013654-0.002114 (0.01154) Potential Increase in error ---TVD Preserved --Testing dt=0.013655 ---TVD Violated after 4 steps t=0.054620 (1.648550e-04) L2 error at time of violation: 0.117726 TV Norm History: 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013654 Theoretial Max dt=0.013655 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k4pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 5 steps t=0.070000 (-6.751952e-08) L2 error at time of violation: 0.09008 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 ---POS Violated after 5 steps t=0.068500 (-1.531934e-10) L2 error at time of violation: 0.073106 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01361 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01361-0.00251 (0.0111) Potential Increase in error ---POS Preserved --Testing dt=0.01362 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01362-0.00242 (0.0112) Potential Increase in error ---POS Preserved --Testing dt=0.01363 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01363-0.00233 (0.0113) Potential Increase in error ---POS Preserved --Testing dt=0.01364 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01364-0.00224 (0.0114) Potential Increase in error ---POS Preserved --Testing dt=0.01365 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01365-0.00215 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.01366 ---POS Violated after 5 steps t=0.068300 (-2.571389e-13) L2 error at time of violation: 0.0729101 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013651-0.002141 (0.01151) Potential Increase in error ---POS Preserved --Testing dt=0.013652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013652-0.002132 (0.01152) Potential Increase in error ---POS Preserved --Testing dt=0.013653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013653-0.002123 (0.01153) Potential Increase in error ---POS Preserved --Testing dt=0.013654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013654-0.002114 (0.01154) Potential Increase in error ---POS Preserved --Testing dt=0.013655 ---POS Violated after 6 steps t=0.081930 (-5.168537e-08) L2 error at time of violation: 0.104335 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013654 Theoretial Max dt=0.013655 results_pos = max_dt: 0.0137 s: 3 k: 4 p: [] dx: 0.0100 r: 1.3655 ans = 7 3 4 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k4pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---TVD Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.025 ---TVD Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---TVD Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---TVD Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---TVD Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---TVD Preserved --Testing dt=0.038 ---TVD Violated after 3 steps t=0.114000 (1.099804e-01) L2 error at time of violation: 0.11364 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0371-0.0137 (0.0234) Potential Increase in error ---TVD Preserved --Testing dt=0.0372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0372-0.0134 (0.0238) Potential Increase in error ---TVD Preserved --Testing dt=0.0373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0373-0.0131 (0.0242) Potential Increase in error ---TVD Preserved --Testing dt=0.0374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0374-0.0128 (0.0246) Potential Increase in error ---TVD Preserved --Testing dt=0.0375 ---TVD Violated after 3 steps t=0.112500 (2.658419e-03) L2 error at time of violation: 0.113751 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03741 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03741-0.01277 (0.02464) Potential Increase in error ---TVD Preserved --Testing dt=0.03742 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03742-0.01274 (0.02468) Potential Increase in error ---TVD Preserved --Testing dt=0.03743 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03743-0.01271 (0.02472) Potential Increase in error ---TVD Preserved --Testing dt=0.03744 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03744-0.01268 (0.02476) Potential Increase in error ---TVD Preserved --Testing dt=0.03745 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03745-0.01265 (0.0248) Potential Increase in error ---TVD Preserved --Testing dt=0.03746 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03746-0.01262 (0.02484) Potential Increase in error ---TVD Preserved --Testing dt=0.03747 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03747-0.01259 (0.02488) Potential Increase in error ---TVD Preserved --Testing dt=0.03748 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03748-0.01256 (0.02492) Potential Increase in error ---TVD Preserved --Testing dt=0.03749 ---TVD Violated after 3 steps t=0.112470 (6.515742e-04) L2 error at time of violation: 0.113755 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.037481 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037481-0.012557 (0.024924) Potential Increase in error ---TVD Preserved --Testing dt=0.037482 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037482-0.012554 (0.024928) Potential Increase in error ---TVD Preserved --Testing dt=0.037483 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037483-0.012551 (0.024932) Potential Increase in error ---TVD Preserved --Testing dt=0.037484 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037484-0.012548 (0.024936) Potential Increase in error ---TVD Preserved --Testing dt=0.037485 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037485-0.012545 (0.02494) Potential Increase in error ---TVD Preserved --Testing dt=0.037486 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037486-0.012542 (0.024944) Potential Increase in error ---TVD Preserved --Testing dt=0.037487 ---TVD Violated after 3 steps t=0.112461 (5.054784e-05) L2 error at time of violation: 0.113756 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.037486 Theoretial Max dt=0.037487 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k4pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.036-0.017 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.037 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.037-0.014 (0.023) Potential Increase in error ---POS Preserved --Testing dt=0.038 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.038-0.011 (0.027) Potential Increase in error ---POS Preserved --Testing dt=0.039 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.039-0.008 (0.031) Potential Increase in error ---POS Preserved --Testing dt=0.04 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.04-0.005 (0.035) Potential Increase in error ---POS Preserved --Testing dt=0.041 ---POS Violated after 3 steps t=0.123000 (-5.010577e-02) L2 error at time of violation: 0.118258 Refining dt search increment 0.001->0.0001 --Testing dt=0.0401 ---POS Violated after 3 steps t=0.120300 (-4.627921e-03) L2 error at time of violation: 0.115596 Refining dt search increment 0.0001->1e-05 --Testing dt=0.04001 ---POS Violated after 3 steps t=0.120030 (-1.555565e-04) L2 error at time of violation: 0.115405 Refining dt search increment 1e-05->1e-06 --Testing dt=0.040001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.040001-0.004997 (0.035004) Potential Increase in error ---POS Preserved --Testing dt=0.040002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.040002-0.004994 (0.035008) Potential Increase in error ---POS Preserved --Testing dt=0.040003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.040003-0.004991 (0.035012) Potential Increase in error ---POS Preserved --Testing dt=0.040004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.040004-0.004988 (0.035016) Potential Increase in error ---POS Preserved --Testing dt=0.040005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.040005-0.004985 (0.03502) Potential Increase in error ---POS Preserved --Testing dt=0.040006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.040006-0.004982 (0.035024) Potential Increase in error ---POS Preserved --Testing dt=0.040007 ---POS Violated after 3 steps t=0.120021 (-6.713009e-06) L2 error at time of violation: 0.115399 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.040006 Theoretial Max dt=0.037487 results_pos = max_dt: 0.0400 s: 7 k: 3 p: [] dx: 0.0100 r: 3.7487 ans = 3 3 5 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 3 steps t=0.021000 (5.105808e-02) L2 error at time of violation: 0.0705221 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 ---TVD Violated after 5 steps t=0.032500 (6.118945e-05) L2 error at time of violation: 0.082485 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00641 ---TVD Violated after 12 steps t=0.076920 (1.474376e-13) L2 error at time of violation: 0.10831 TV Norm History: 2 2 2 2 2 2 2 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006401 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006401-0.003381 (0.00302) Potential Increase in error ---TVD Preserved --Testing dt=0.006402 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006402-0.003362 (0.00304) Potential Increase in error ---TVD Preserved --Testing dt=0.006403 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006403-0.003343 (0.00306) Potential Increase in error ---TVD Preserved --Testing dt=0.006404 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006404-0.003324 (0.00308) Potential Increase in error ---TVD Preserved --Testing dt=0.006405 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006405-0.003305 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.006406 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006406-0.003286 (0.00312) Potential Increase in error ---TVD Preserved --Testing dt=0.006407 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006407-0.003267 (0.00314) Potential Increase in error ---TVD Preserved --Testing dt=0.006408 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006408-0.003248 (0.00316) Potential Increase in error ---TVD Preserved --Testing dt=0.006409 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006409-0.003229 (0.00318) Potential Increase in error ---TVD Preserved --Testing dt=0.00641 ---TVD Violated after 12 steps t=0.076920 (1.465494e-13) L2 error at time of violation: 0.10831 TV Norm History: 2 2 2 2 2 2 2 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006409 Theoretial Max dt=0.006380 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s3k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 7 steps t=0.049000 (-1.505903e-06) L2 error at time of violation: 0.0941378 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0066-0.0062 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0067 ---POS Violated after 10 steps t=0.067000 (-3.374495e-11) L2 error at time of violation: 0.103422 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00661 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00661-0.00602 (0.00059) Potential Increase in error ---POS Preserved --Testing dt=0.00662 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00662-0.00584 (0.00078) Potential Increase in error ---POS Preserved --Testing dt=0.00663 ---POS Violated after 13 steps t=0.086190 (-1.036203e-13) L2 error at time of violation: 0.111645 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006621 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006621-0.005822 (0.000799) Potential Increase in error ---POS Preserved --Testing dt=0.006622 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006622-0.005804 (0.000818) Potential Increase in error ---POS Preserved --Testing dt=0.006623 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006623-0.005786 (0.000837) Potential Increase in error ---POS Preserved --Testing dt=0.006624 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006624-0.005768 (0.000856) Potential Increase in error ---POS Preserved --Testing dt=0.006625 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006625-0.00575 (0.000875) Potential Increase in error ---POS Preserved --Testing dt=0.006626 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006626-0.005732 (0.000894) Potential Increase in error ---POS Preserved --Testing dt=0.006627 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006627-0.005714 (0.000913) Potential Increase in error ---POS Preserved --Testing dt=0.006628 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006628-0.005696 (0.000932) Potential Increase in error ---POS Preserved --Testing dt=0.006629 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006629-0.005678 (0.000951) Potential Increase in error ---POS Preserved --Testing dt=0.00663 ---POS Violated after 13 steps t=0.086190 (-1.036203e-13) L2 error at time of violation: 0.111645 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006629 Theoretial Max dt=0.006380 results_pos = max_dt: 0.0066 s: 3 k: 3 p: [] dx: 0.0100 r: 0.6380 ans = 6 3 5 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---TVD Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.025 ---TVD Violated after 3 steps t=0.075000 (9.985287e-02) L2 error at time of violation: 0.0811025 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---TVD Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---TVD Preserved --Testing dt=0.0243 ---TVD Violated after 3 steps t=0.072900 (6.887063e-03) L2 error at time of violation: 0.0933266 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02421-0.00395 (0.02026) Potential Increase in error ---TVD Preserved --Testing dt=0.02422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02422-0.0039 (0.02032) Potential Increase in error ---TVD Preserved --Testing dt=0.02423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02423-0.00385 (0.02038) Potential Increase in error ---TVD Preserved --Testing dt=0.02424 ---TVD Violated after 3 steps t=0.072720 (8.123161e-04) L2 error at time of violation: 0.0935956 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024231-0.003845 (0.020386) Potential Increase in error ---TVD Preserved --Testing dt=0.024232 ---TVD Violated after 3 steps t=0.072696 (1.356922e-05) L2 error at time of violation: 0.0936316 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024231 Theoretial Max dt=0.024232 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s3k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---POS Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---POS Preserved --Testing dt=0.025 ---POS Violated after 3 steps t=0.075000 (-1.851146e-04) L2 error at time of violation: 0.0811025 Refining dt search increment 0.001->0.0001 --Testing dt=0.0241 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0241-0.0045 (0.0196) Potential Increase in error ---POS Preserved --Testing dt=0.0242 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0242-0.004 (0.0202) Potential Increase in error ---POS Preserved --Testing dt=0.0243 ---POS Violated after 3 steps t=0.072900 (-9.997721e-07) L2 error at time of violation: 0.0933266 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02421 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02421-0.00395 (0.02026) Potential Increase in error ---POS Preserved --Testing dt=0.02422 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02422-0.0039 (0.02032) Potential Increase in error ---POS Preserved --Testing dt=0.02423 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02423-0.00385 (0.02038) Potential Increase in error ---POS Preserved --Testing dt=0.02424 ---POS Violated after 3 steps t=0.072720 (-1.266928e-07) L2 error at time of violation: 0.0935956 Refining dt search increment 1e-05->1e-06 --Testing dt=0.024231 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024231-0.003845 (0.020386) Potential Increase in error ---POS Preserved --Testing dt=0.024232 ---POS Violated after 3 steps t=0.072696 (-2.136116e-09) L2 error at time of violation: 0.0936316 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.024231 Theoretial Max dt=0.024232 results_pos = max_dt: 0.0242 s: 6 k: 3 p: [] dx: 0.0100 r: 2.4232 ans = 3 4 5 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 ---TVD Violated after 4 steps t=0.044000 (3.471835e-01) L2 error at time of violation: 0.0569722 TV Norm History: 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---TVD Violated after 4 steps t=0.040400 (1.742806e-02) L2 error at time of violation: 0.0585314 TV Norm History: 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01001 ---TVD Violated after 4 steps t=0.040040 (4.063454e-05) L2 error at time of violation: 0.0588479 TV Norm History: 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010001-0.004988 (0.005013) Potential Increase in error ---TVD Preserved --Testing dt=0.010002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010002-0.004976 (0.005026) Potential Increase in error ---TVD Preserved --Testing dt=0.010003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010003-0.004964 (0.005039) Potential Increase in error ---TVD Preserved --Testing dt=0.010004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010004-0.004952 (0.005052) Potential Increase in error ---TVD Preserved --Testing dt=0.010005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010005-0.00494 (0.005065) Potential Increase in error ---TVD Preserved --Testing dt=0.010006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010006-0.004928 (0.005078) Potential Increase in error ---TVD Preserved --Testing dt=0.010007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010007-0.004916 (0.005091) Potential Increase in error ---TVD Preserved --Testing dt=0.010008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010008-0.004904 (0.005104) Potential Increase in error ---TVD Preserved --Testing dt=0.010009 ---TVD Violated after 5 steps t=0.050045 (5.325390e-07) L2 error at time of violation: 0.0713561 TV Norm History: 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010008 Theoretial Max dt=0.010009 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s4k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.011 ---POS Violated after 5 steps t=0.055000 (-2.754388e-04) L2 error at time of violation: 0.0690587 Refining dt search increment 0.001->0.0001 --Testing dt=0.0101 ---POS Violated after 5 steps t=0.050500 (-3.510498e-05) L2 error at time of violation: 0.0709639 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01001 ---POS Violated after 5 steps t=0.050050 (-5.284453e-07) L2 error at time of violation: 0.0713517 Refining dt search increment 1e-05->1e-06 --Testing dt=0.010001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010001-0.004988 (0.005013) Potential Increase in error ---POS Preserved --Testing dt=0.010002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010002-0.004976 (0.005026) Potential Increase in error ---POS Preserved --Testing dt=0.010003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010003-0.004964 (0.005039) Potential Increase in error ---POS Preserved --Testing dt=0.010004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010004-0.004952 (0.005052) Potential Increase in error ---POS Preserved --Testing dt=0.010005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010005-0.00494 (0.005065) Potential Increase in error ---POS Preserved --Testing dt=0.010006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010006-0.004928 (0.005078) Potential Increase in error ---POS Preserved --Testing dt=0.010007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010007-0.004916 (0.005091) Potential Increase in error ---POS Preserved --Testing dt=0.010008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.010008-0.004904 (0.005104) Potential Increase in error ---POS Preserved --Testing dt=0.010009 ---POS Violated after 5 steps t=0.050045 (-1.331348e-07) L2 error at time of violation: 0.0713561 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.010008 Theoretial Max dt=0.010009 results_pos = max_dt: 0.0100 s: 3 k: 4 p: [] dx: 0.0100 r: 1.0009 ans = 3 5 5 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 ---TVD Violated after 5 steps t=0.060000 (6.571925e-02) L2 error at time of violation: 0.0939282 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---TVD Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---TVD Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---TVD Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---TVD Preserved --Testing dt=0.0117 ---TVD Violated after 5 steps t=0.058500 (6.709235e-03) L2 error at time of violation: 0.0713166 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01161-0.0089 (0.00271) Potential Increase in error ---TVD Preserved --Testing dt=0.01162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01162-0.0088 (0.00282) Potential Increase in error ---TVD Preserved --Testing dt=0.01163 ---TVD Violated after 5 steps t=0.058150 (8.114368e-04) L2 error at time of violation: 0.071192 TV Norm History: 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011621 ---TVD Violated after 5 steps t=0.058105 (4.375814e-05) L2 error at time of violation: 0.0711769 TV Norm History: 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011620 Theoretial Max dt=0.011620 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k5pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.012 ---POS Violated after 5 steps t=0.060000 (-5.569935e-04) L2 error at time of violation: 0.0720026 Refining dt search increment 0.001->0.0001 --Testing dt=0.0111 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0111-0.0029 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0112 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0112-0.0018 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0113 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0113-0.0007 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.0114 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0114-0.011 (0.0004) Potential Increase in error ---POS Preserved --Testing dt=0.0115 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0115-0.01 (0.0015) Potential Increase in error ---POS Preserved --Testing dt=0.0116 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0116-0.009 (0.0026) Potential Increase in error ---POS Preserved --Testing dt=0.0117 ---POS Violated after 5 steps t=0.058500 (-1.184941e-04) L2 error at time of violation: 0.0713166 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01161-0.0089 (0.00271) Potential Increase in error ---POS Preserved --Testing dt=0.01162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01162-0.0088 (0.00282) Potential Increase in error ---POS Preserved --Testing dt=0.01163 ---POS Violated after 5 steps t=0.058150 (-1.422593e-05) L2 error at time of violation: 0.071192 Refining dt search increment 1e-05->1e-06 --Testing dt=0.011621 ---POS Violated after 5 steps t=0.058105 (-7.664410e-07) L2 error at time of violation: 0.0711769 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.011620 Theoretial Max dt=0.011620 results_pos = max_dt: 0.0116 s: 3 k: 5 p: [] dx: 0.0100 r: 1.1620 ans = 5 3 6 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 ---TVD Violated after 4 steps t=0.056000 (3.262300e-04) L2 error at time of violation: 0.0874601 TV Norm History: 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---TVD Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.0137 ---TVD Violated after 4 steps t=0.054800 (8.041229e-05) L2 error at time of violation: 0.0877697 TV Norm History: 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01361 ---TVD Violated after 4 steps t=0.054440 (1.954440e-06) L2 error at time of violation: 0.0879209 TV Norm History: 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013601-0.002591 (0.01101) Potential Increase in error ---TVD Preserved --Testing dt=0.013602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013602-0.002582 (0.01102) Potential Increase in error ---TVD Preserved --Testing dt=0.013603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013603-0.002573 (0.01103) Potential Increase in error ---TVD Preserved --Testing dt=0.013604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013604-0.002564 (0.01104) Potential Increase in error ---TVD Preserved --Testing dt=0.013605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013605-0.002555 (0.01105) Potential Increase in error ---TVD Preserved --Testing dt=0.013606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013606-0.002546 (0.01106) Potential Increase in error ---TVD Preserved --Testing dt=0.013607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013607-0.002537 (0.01107) Potential Increase in error ---TVD Preserved --Testing dt=0.013608 ---TVD Violated after 4 steps t=0.054432 (1.852350e-07) L2 error at time of violation: 0.0879246 TV Norm History: 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013607 Theoretial Max dt=0.013608 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 5s3k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.014 ---POS Violated after 4 steps t=0.056000 (-8.155749e-05) L2 error at time of violation: 0.0874601 Refining dt search increment 0.001->0.0001 --Testing dt=0.0131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0131-0.0071 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.0132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0132-0.0062 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0133-0.0053 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0134-0.0044 (0.009) Potential Increase in error ---POS Preserved --Testing dt=0.0135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0135-0.0035 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.0136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0136-0.0026 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.0137 ---POS Violated after 4 steps t=0.054800 (-2.010307e-05) L2 error at time of violation: 0.0877697 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01361 ---POS Violated after 4 steps t=0.054440 (-4.886101e-07) L2 error at time of violation: 0.0879209 Refining dt search increment 1e-05->1e-06 --Testing dt=0.013601 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013601-0.002591 (0.01101) Potential Increase in error ---POS Preserved --Testing dt=0.013602 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013602-0.002582 (0.01102) Potential Increase in error ---POS Preserved --Testing dt=0.013603 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013603-0.002573 (0.01103) Potential Increase in error ---POS Preserved --Testing dt=0.013604 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013604-0.002564 (0.01104) Potential Increase in error ---POS Preserved --Testing dt=0.013605 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013605-0.002555 (0.01105) Potential Increase in error ---POS Preserved --Testing dt=0.013606 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013606-0.002546 (0.01106) Potential Increase in error ---POS Preserved --Testing dt=0.013607 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013607-0.002537 (0.01107) Potential Increase in error ---POS Preserved --Testing dt=0.013608 ---POS Violated after 4 steps t=0.054432 (-4.630875e-08) L2 error at time of violation: 0.0879246 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.013607 Theoretial Max dt=0.013608 results_pos = max_dt: 0.0136 s: 5 k: 3 p: [] dx: 0.0100 r: 1.3608 ans = 9 3 6 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.023 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.023-0.01 (0.013) Potential Increase in error ---TVD Preserved --Testing dt=0.024 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.024-0.005 (0.019) Potential Increase in error ---TVD Preserved --Testing dt=0.025 ---TVD Preserved --Testing dt=0.026 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.026-0.021 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.027 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.027-0.017 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.028 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.028-0.013 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---TVD Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---TVD Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---TVD Preserved --Testing dt=0.032 ---TVD Violated after 3 steps t=0.096000 (2.733307e-02) L2 error at time of violation: 0.0878831 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0311 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0311-0.0006 (0.0305) Potential Increase in error ---TVD Preserved --Testing dt=0.0312 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0312-0.0002 (0.031) Potential Increase in error ---TVD Preserved --Testing dt=0.0313 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0313-0.0311 (0.0002) Potential Increase in error ---TVD Preserved --Testing dt=0.0314 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0314-0.0308 (0.0006) Potential Increase in error ---TVD Preserved --Testing dt=0.0315 ---TVD Violated after 3 steps t=0.094500 (1.671400e-03) L2 error at time of violation: 0.0865532 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03141-0.03077 (0.00064) Potential Increase in error ---TVD Preserved --Testing dt=0.03142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03142-0.03074 (0.00068) Potential Increase in error ---TVD Preserved --Testing dt=0.03143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03143-0.03071 (0.00072) Potential Increase in error ---TVD Preserved --Testing dt=0.03144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03144-0.03068 (0.00076) Potential Increase in error ---TVD Preserved --Testing dt=0.03145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03145-0.03065 (0.0008) Potential Increase in error ---TVD Preserved --Testing dt=0.03146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03146-0.03062 (0.00084) Potential Increase in error ---TVD Preserved --Testing dt=0.03147 ---TVD Violated after 3 steps t=0.094410 (3.005300e-04) L2 error at time of violation: 0.0864802 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.031461 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031461-0.030617 (0.000844) Potential Increase in error ---TVD Preserved --Testing dt=0.031462 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031462-0.030614 (0.000848) Potential Increase in error ---TVD Preserved --Testing dt=0.031463 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031463-0.030611 (0.000852) Potential Increase in error ---TVD Preserved --Testing dt=0.031464 ---TVD Violated after 3 steps t=0.094392 (2.853538e-05) L2 error at time of violation: 0.0864656 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.031463 Theoretial Max dt=0.031443 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s3k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.029 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.029-0.009 (0.02) Potential Increase in error ---POS Preserved --Testing dt=0.03 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03-0.005 (0.025) Potential Increase in error ---POS Preserved --Testing dt=0.031 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.031-0.001 (0.03) Potential Increase in error ---POS Preserved --Testing dt=0.032 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.032-0.029 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.033 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.033-0.026 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.034 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.034-0.023 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.035 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035-0.02 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.036 ---POS Violated after 3 steps t=0.108000 (-8.497068e-04) L2 error at time of violation: 0.10726 Refining dt search increment 0.001->0.0001 --Testing dt=0.0351 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0351-0.0197 (0.0154) Potential Increase in error ---POS Preserved --Testing dt=0.0352 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0352-0.0194 (0.0158) Potential Increase in error ---POS Preserved --Testing dt=0.0353 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0353-0.0191 (0.0162) Potential Increase in error ---POS Preserved --Testing dt=0.0354 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0354-0.0188 (0.0166) Potential Increase in error ---POS Preserved --Testing dt=0.0355 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0355-0.0185 (0.017) Potential Increase in error ---POS Preserved --Testing dt=0.0356 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0356-0.0182 (0.0174) Potential Increase in error ---POS Preserved --Testing dt=0.0357 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0357-0.0179 (0.0178) Potential Increase in error ---POS Preserved --Testing dt=0.0358 ---POS Violated after 3 steps t=0.107400 (-2.318587e-05) L2 error at time of violation: 0.106017 Refining dt search increment 0.0001->1e-05 --Testing dt=0.03571 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03571-0.01787 (0.01784) Potential Increase in error ---POS Preserved --Testing dt=0.03572 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03572-0.01784 (0.01788) Potential Increase in error ---POS Preserved --Testing dt=0.03573 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03573-0.01781 (0.01792) Potential Increase in error ---POS Preserved --Testing dt=0.03574 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03574-0.01778 (0.01796) Potential Increase in error ---POS Preserved --Testing dt=0.03575 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03575-0.01775 (0.018) Potential Increase in error ---POS Preserved --Testing dt=0.03576 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03576-0.01772 (0.01804) Potential Increase in error ---POS Preserved --Testing dt=0.03577 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03577-0.01769 (0.01808) Potential Increase in error ---POS Preserved --Testing dt=0.03578 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.03578-0.01766 (0.01812) Potential Increase in error ---POS Preserved --Testing dt=0.03579 ---POS Violated after 3 steps t=0.107370 (-1.092838e-05) L2 error at time of violation: 0.105956 Refining dt search increment 1e-05->1e-06 --Testing dt=0.035781 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.035781-0.017657 (0.018124) Potential Increase in error ---POS Preserved --Testing dt=0.035782 ---POS Violated after 3 steps t=0.107346 (-1.109395e-06) L2 error at time of violation: 0.105907 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.035781 Theoretial Max dt=0.031443 results_pos = max_dt: 0.0358 s: 9 k: 3 p: [] dx: 0.0100 r: 3.1443 ans = 4 4 6 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 7 steps t=0.070000 (8.526322e-05) L2 error at time of violation: 0.114218 TV Norm History: 2 2 2 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---TVD Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---TVD Preserved --Testing dt=0.0098 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0098-0.0074 (0.0024) Potential Increase in error ---TVD Preserved --Testing dt=0.0099 ---TVD Violated after 7 steps t=0.069300 (2.941712e-05) L2 error at time of violation: 0.0973131 TV Norm History: 2 2 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00981-0.00728 (0.00253) Potential Increase in error ---TVD Preserved --Testing dt=0.00982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00982-0.00716 (0.00266) Potential Increase in error ---TVD Preserved --Testing dt=0.00983 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00983-0.00704 (0.00279) Potential Increase in error ---TVD Preserved --Testing dt=0.00984 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00984-0.00692 (0.00292) Potential Increase in error ---TVD Preserved --Testing dt=0.00985 ---TVD Violated after 7 steps t=0.068950 (7.584736e-07) L2 error at time of violation: 0.0973456 TV Norm History: 2 2 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009841 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009841-0.006908 (0.002933) Potential Increase in error ---TVD Preserved --Testing dt=0.009842 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009842-0.006896 (0.002946) Potential Increase in error ---TVD Preserved --Testing dt=0.009843 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009843-0.006884 (0.002959) Potential Increase in error ---TVD Preserved --Testing dt=0.009844 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009844-0.006872 (0.002972) Potential Increase in error ---TVD Preserved --Testing dt=0.009845 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009845-0.00686 (0.002985) Potential Increase in error ---TVD Preserved --Testing dt=0.009846 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009846-0.006848 (0.002998) Potential Increase in error ---TVD Preserved --Testing dt=0.009847 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009847-0.006836 (0.003011) Potential Increase in error ---TVD Preserved --Testing dt=0.009848 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009848-0.006824 (0.003024) Potential Increase in error ---TVD Preserved --Testing dt=0.009849 ---TVD Violated after 7 steps t=0.068943 (1.801607e-07) L2 error at time of violation: 0.0973464 TV Norm History: 2 2 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009848 Theoretial Max dt=0.009712 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s4k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 7 steps t=0.070000 (-2.131580e-05) L2 error at time of violation: 0.114218 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0092-0.0054 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0093 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0093-0.0041 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0094 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0094-0.0028 (0.0066) Potential Increase in error ---POS Preserved --Testing dt=0.0095 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0095-0.0015 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.0096 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0096-0.0002 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0097 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0097-0.0086 (0.0011) Potential Increase in error ---POS Preserved --Testing dt=0.0098 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0098-0.0074 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0099 ---POS Violated after 7 steps t=0.069300 (-7.354280e-06) L2 error at time of violation: 0.0973131 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00981-0.00728 (0.00253) Potential Increase in error ---POS Preserved --Testing dt=0.00982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00982-0.00716 (0.00266) Potential Increase in error ---POS Preserved --Testing dt=0.00983 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00983-0.00704 (0.00279) Potential Increase in error ---POS Preserved --Testing dt=0.00984 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00984-0.00692 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.00985 ---POS Violated after 7 steps t=0.068950 (-1.896184e-07) L2 error at time of violation: 0.0973456 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009841 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009841-0.006908 (0.002933) Potential Increase in error ---POS Preserved --Testing dt=0.009842 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009842-0.006896 (0.002946) Potential Increase in error ---POS Preserved --Testing dt=0.009843 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009843-0.006884 (0.002959) Potential Increase in error ---POS Preserved --Testing dt=0.009844 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009844-0.006872 (0.002972) Potential Increase in error ---POS Preserved --Testing dt=0.009845 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009845-0.00686 (0.002985) Potential Increase in error ---POS Preserved --Testing dt=0.009846 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009846-0.006848 (0.002998) Potential Increase in error ---POS Preserved --Testing dt=0.009847 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009847-0.006836 (0.003011) Potential Increase in error ---POS Preserved --Testing dt=0.009848 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009848-0.006824 (0.003024) Potential Increase in error ---POS Preserved --Testing dt=0.009849 ---POS Violated after 7 steps t=0.068943 (-4.504018e-08) L2 error at time of violation: 0.0973464 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009848 Theoretial Max dt=0.009712 results_pos = max_dt: 0.0098 s: 4 k: 4 p: [] dx: 0.0100 r: 0.9712 ans = 3 5 6 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 ---TVD Violated after 6 steps t=0.042000 (2.043716e-03) L2 error at time of violation: 0.0826598 TV Norm History: 2 2 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---TVD Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.0066 ---TVD Violated after 6 steps t=0.039600 (1.599870e-04) L2 error at time of violation: 0.0659427 TV Norm History: 2 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00651-0.00131 (0.0052) Potential Increase in error ---TVD Preserved --Testing dt=0.00652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00652-0.00112 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.00653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00653-0.00093 (0.0056) Potential Increase in error ---TVD Preserved --Testing dt=0.00654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00654-0.00074 (0.0058) Potential Increase in error ---TVD Preserved --Testing dt=0.00655 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00655-0.00055 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.00656 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00656-0.00036 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.00657 ---TVD Violated after 6 steps t=0.039420 (1.533943e-05) L2 error at time of violation: 0.065727 TV Norm History: 2 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006561-0.000341 (0.00622) Potential Increase in error ---TVD Preserved --Testing dt=0.006562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006562-0.000322 (0.00624) Potential Increase in error ---TVD Preserved --Testing dt=0.006563 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006563-0.000303 (0.00626) Potential Increase in error ---TVD Preserved --Testing dt=0.006564 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006564-0.000284 (0.00628) Potential Increase in error ---TVD Preserved --Testing dt=0.006565 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006565-0.000265 (0.0063) Potential Increase in error ---TVD Preserved --Testing dt=0.006566 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006566-0.000246 (0.00632) Potential Increase in error ---TVD Preserved --Testing dt=0.006567 ---TVD Violated after 6 steps t=0.039402 (8.456201e-07) L2 error at time of violation: 0.0657058 TV Norm History: 2 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006566 Theoretial Max dt=0.006567 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 3s5k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.007 ---POS Violated after 6 steps t=0.042000 (-5.109290e-04) L2 error at time of violation: 0.0826598 Refining dt search increment 0.001->0.0001 --Testing dt=0.0061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0061-0.003 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.0062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0062-0.001 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.0063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0063-0.0053 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0064-0.0034 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.0065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0065-0.0015 (0.005) Potential Increase in error ---POS Preserved --Testing dt=0.0066 ---POS Violated after 6 steps t=0.039600 (-3.999674e-05) L2 error at time of violation: 0.0659427 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00651 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00651-0.00131 (0.0052) Potential Increase in error ---POS Preserved --Testing dt=0.00652 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00652-0.00112 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.00653 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00653-0.00093 (0.0056) Potential Increase in error ---POS Preserved --Testing dt=0.00654 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00654-0.00074 (0.0058) Potential Increase in error ---POS Preserved --Testing dt=0.00655 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00655-0.00055 (0.006) Potential Increase in error ---POS Preserved --Testing dt=0.00656 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00656-0.00036 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.00657 ---POS Violated after 6 steps t=0.039420 (-3.834857e-06) L2 error at time of violation: 0.065727 Refining dt search increment 1e-05->1e-06 --Testing dt=0.006561 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006561-0.000341 (0.00622) Potential Increase in error ---POS Preserved --Testing dt=0.006562 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006562-0.000322 (0.00624) Potential Increase in error ---POS Preserved --Testing dt=0.006563 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006563-0.000303 (0.00626) Potential Increase in error ---POS Preserved --Testing dt=0.006564 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006564-0.000284 (0.00628) Potential Increase in error ---POS Preserved --Testing dt=0.006565 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006565-0.000265 (0.0063) Potential Increase in error ---POS Preserved --Testing dt=0.006566 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006566-0.000246 (0.00632) Potential Increase in error ---POS Preserved --Testing dt=0.006567 ---POS Violated after 6 steps t=0.039402 (-2.114050e-07) L2 error at time of violation: 0.0657058 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.006566 Theoretial Max dt=0.006567 results_pos = max_dt: 0.0066 s: 3 k: 5 p: [] dx: 0.0100 r: 0.6567 ans = 6 5 6 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 ---TVD Violated after 5 steps t=0.105000 (2.225804e-02) L2 error at time of violation: 0.0806688 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0201-0.0044 (0.0157) Potential Increase in error ---TVD Preserved --Testing dt=0.0202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0202-0.0038 (0.0164) Potential Increase in error ---TVD Preserved --Testing dt=0.0203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0203-0.0032 (0.0171) Potential Increase in error ---TVD Preserved --Testing dt=0.0204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0204-0.0026 (0.0178) Potential Increase in error ---TVD Preserved --Testing dt=0.0205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0205-0.002 (0.0185) Potential Increase in error ---TVD Preserved --Testing dt=0.0206 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0206-0.0014 (0.0192) Potential Increase in error ---TVD Preserved --Testing dt=0.0207 ---TVD Violated after 5 steps t=0.103500 (1.752869e-03) L2 error at time of violation: 0.0798748 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02061 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02061-0.00134 (0.01927) Potential Increase in error ---TVD Preserved --Testing dt=0.02062 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02062-0.00128 (0.01934) Potential Increase in error ---TVD Preserved --Testing dt=0.02063 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02063-0.00122 (0.01941) Potential Increase in error ---TVD Preserved --Testing dt=0.02064 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02064-0.00116 (0.01948) Potential Increase in error ---TVD Preserved --Testing dt=0.02065 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02065-0.0011 (0.01955) Potential Increase in error ---TVD Preserved --Testing dt=0.02066 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02066-0.00104 (0.01962) Potential Increase in error ---TVD Preserved --Testing dt=0.02067 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02067-0.00098 (0.01969) Potential Increase in error ---TVD Preserved --Testing dt=0.02068 ---TVD Violated after 5 steps t=0.103400 (5.061643e-04) L2 error at time of violation: 0.0798262 TV Norm History: 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020671-0.000974 (0.019697) Potential Increase in error ---TVD Preserved --Testing dt=0.020672 ---TVD Violated after 5 steps t=0.103360 (1.084103e-05) L2 error at time of violation: 0.0798069 TV Norm History: 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020671 Theoretial Max dt=0.020672 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 6s5k6pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 ---POS Violated after 5 steps t=0.110000 (-1.954880e-04) L2 error at time of violation: 0.0890854 Refining dt search increment 0.001->0.0001 --Testing dt=0.0211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0211-0.0195 (0.0016) Potential Increase in error ---POS Preserved --Testing dt=0.0212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0212-0.019 (0.0022) Potential Increase in error ---POS Preserved --Testing dt=0.0213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0213-0.0185 (0.0028) Potential Increase in error ---POS Preserved --Testing dt=0.0214 ---POS Violated after 5 steps t=0.107000 (-2.106984e-06) L2 error at time of violation: 0.0819157 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02131 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02131-0.01845 (0.00286) Potential Increase in error ---POS Preserved --Testing dt=0.02132 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02132-0.0184 (0.00292) Potential Increase in error ---POS Preserved --Testing dt=0.02133 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02133-0.01835 (0.00298) Potential Increase in error ---POS Preserved --Testing dt=0.02134 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02134-0.0183 (0.00304) Potential Increase in error ---POS Preserved --Testing dt=0.02135 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02135-0.01825 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.02136 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02136-0.0182 (0.00316) Potential Increase in error ---POS Preserved --Testing dt=0.02137 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02137-0.01815 (0.00322) Potential Increase in error ---POS Preserved --Testing dt=0.02138 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02138-0.0181 (0.00328) Potential Increase in error ---POS Preserved --Testing dt=0.02139 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02139-0.01805 (0.00334) Potential Increase in error ---POS Preserved --Testing dt=0.0214 ---POS Violated after 5 steps t=0.107000 (-2.106984e-06) L2 error at time of violation: 0.0819157 Refining dt search increment 1e-05->1e-06 --Testing dt=0.021391 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021391-0.018045 (0.003346) Potential Increase in error ---POS Preserved --Testing dt=0.021392 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021392-0.01804 (0.003352) Potential Increase in error ---POS Preserved --Testing dt=0.021393 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021393-0.018035 (0.003358) Potential Increase in error ---POS Preserved --Testing dt=0.021394 ---POS Violated after 5 steps t=0.106970 (-1.265655e-07) L2 error at time of violation: 0.0818954 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.021393 Theoretial Max dt=0.020672 results_pos = max_dt: 0.0214 s: 6 k: 5 p: [] dx: 0.0100 r: 2.0672 ans = 7 3 7 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k7pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 3 steps t=0.051000 (9.547512e-05) L2 error at time of violation: 0.0757617 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0167-0.0081 (0.0086) Potential Increase in error ---TVD Preserved --Testing dt=0.0168 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0168-0.0074 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0169 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0169-0.0067 (0.0102) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 3 steps t=0.051000 (9.547512e-05) L2 error at time of violation: 0.0757617 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01691-0.00663 (0.01028) Potential Increase in error ---TVD Preserved --Testing dt=0.01692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01692-0.00656 (0.01036) Potential Increase in error ---TVD Preserved --Testing dt=0.01693 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01693-0.00649 (0.01044) Potential Increase in error ---TVD Preserved --Testing dt=0.01694 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01694-0.00642 (0.01052) Potential Increase in error ---TVD Preserved --Testing dt=0.01695 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01695-0.00635 (0.0106) Potential Increase in error ---TVD Preserved --Testing dt=0.01696 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01696-0.00628 (0.01068) Potential Increase in error ---TVD Preserved --Testing dt=0.01697 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01697-0.00621 (0.01076) Potential Increase in error ---TVD Preserved --Testing dt=0.01698 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01698-0.00614 (0.01084) Potential Increase in error ---TVD Preserved --Testing dt=0.01699 ---TVD Violated after 3 steps t=0.050970 (1.254369e-05) L2 error at time of violation: 0.0758026 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016981-0.006133 (0.010848) Potential Increase in error ---TVD Preserved --Testing dt=0.016982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016982-0.006126 (0.010856) Potential Increase in error ---TVD Preserved --Testing dt=0.016983 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016983-0.006119 (0.010864) Potential Increase in error ---TVD Preserved --Testing dt=0.016984 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016984-0.006112 (0.010872) Potential Increase in error ---TVD Preserved --Testing dt=0.016985 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016985-0.006105 (0.01088) Potential Increase in error ---TVD Preserved --Testing dt=0.016986 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016986-0.006098 (0.010888) Potential Increase in error ---TVD Preserved --Testing dt=0.016987 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016987-0.006091 (0.010896) Potential Increase in error ---TVD Preserved --Testing dt=0.016988 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016988-0.006084 (0.010904) Potential Increase in error ---TVD Preserved --Testing dt=0.016989 ---TVD Violated after 3 steps t=0.050967 (4.282680e-06) L2 error at time of violation: 0.0758067 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016988 Theoretial Max dt=0.016988 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s3k7pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 4 steps t=0.068000 (-1.069820e-06) L2 error at time of violation: 0.0926465 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0167-0.0081 (0.0086) Potential Increase in error ---POS Preserved --Testing dt=0.0168 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0168-0.0074 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0169 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0169-0.0067 (0.0102) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 4 steps t=0.068000 (-1.069820e-06) L2 error at time of violation: 0.0926465 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01691 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01691-0.00663 (0.01028) Potential Increase in error ---POS Preserved --Testing dt=0.01692 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01692-0.00656 (0.01036) Potential Increase in error ---POS Preserved --Testing dt=0.01693 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01693-0.00649 (0.01044) Potential Increase in error ---POS Preserved --Testing dt=0.01694 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01694-0.00642 (0.01052) Potential Increase in error ---POS Preserved --Testing dt=0.01695 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01695-0.00635 (0.0106) Potential Increase in error ---POS Preserved --Testing dt=0.01696 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01696-0.00628 (0.01068) Potential Increase in error ---POS Preserved --Testing dt=0.01697 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01697-0.00621 (0.01076) Potential Increase in error ---POS Preserved --Testing dt=0.01698 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01698-0.00614 (0.01084) Potential Increase in error ---POS Preserved --Testing dt=0.01699 ---POS Violated after 4 steps t=0.067960 (-1.412930e-07) L2 error at time of violation: 0.0926118 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016981 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016981-0.006133 (0.010848) Potential Increase in error ---POS Preserved --Testing dt=0.016982 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016982-0.006126 (0.010856) Potential Increase in error ---POS Preserved --Testing dt=0.016983 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016983-0.006119 (0.010864) Potential Increase in error ---POS Preserved --Testing dt=0.016984 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016984-0.006112 (0.010872) Potential Increase in error ---POS Preserved --Testing dt=0.016985 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016985-0.006105 (0.01088) Potential Increase in error ---POS Preserved --Testing dt=0.016986 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016986-0.006098 (0.010888) Potential Increase in error ---POS Preserved --Testing dt=0.016987 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016987-0.006091 (0.010896) Potential Increase in error ---POS Preserved --Testing dt=0.016988 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016988-0.006084 (0.010904) Potential Increase in error ---POS Preserved --Testing dt=0.016989 ---POS Violated after 4 steps t=0.067956 (-4.826571e-08) L2 error at time of violation: 0.0926083 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016988 Theoretial Max dt=0.016988 results_pos = max_dt: 0.0170 s: 7 k: 3 p: [] dx: 0.0100 r: 1.6988 ans = 7 4 7 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k7pT3.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 ---TVD Violated after 4 steps t=0.080000 (1.426647e-06) L2 error at time of violation: 0.0924129 TV Norm History: 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---TVD Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---TVD Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---TVD Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---TVD Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---TVD Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---TVD Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---TVD Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---TVD Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---TVD Preserved --Testing dt=0.02 ---TVD Violated after 4 steps t=0.080000 (1.426647e-06) L2 error at time of violation: 0.0924129 TV Norm History: 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01991-0.00554 (0.01437) Potential Increase in error ---TVD Preserved --Testing dt=0.01992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01992-0.00548 (0.01444) Potential Increase in error ---TVD Preserved --Testing dt=0.01993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01993-0.00542 (0.01451) Potential Increase in error ---TVD Preserved --Testing dt=0.01994 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01994-0.00536 (0.01458) Potential Increase in error ---TVD Preserved --Testing dt=0.01995 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01995-0.0053 (0.01465) Potential Increase in error ---TVD Preserved --Testing dt=0.01996 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01996-0.00524 (0.01472) Potential Increase in error ---TVD Preserved --Testing dt=0.01997 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01997-0.00518 (0.01479) Potential Increase in error ---TVD Preserved --Testing dt=0.01998 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01998-0.00512 (0.01486) Potential Increase in error ---TVD Preserved --Testing dt=0.01999 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01999-0.00506 (0.01493) Potential Increase in error ---TVD Preserved --Testing dt=0.02 ---TVD Violated after 4 steps t=0.080000 (1.426647e-06) L2 error at time of violation: 0.0924105 TV Norm History: 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019991-0.005054 (0.014937) Potential Increase in error ---TVD Preserved --Testing dt=0.019992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019992-0.005048 (0.014944) Potential Increase in error ---TVD Preserved --Testing dt=0.019993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019993-0.005042 (0.014951) Potential Increase in error ---TVD Preserved --Testing dt=0.019994 ---TVD Violated after 4 steps t=0.079976 (9.736409e-08) L2 error at time of violation: 0.0648076 TV Norm History: 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019993 Theoretial Max dt=0.019994 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 7s4k7pT3.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 4 steps t=0.080000 (-3.566619e-07) L2 error at time of violation: 0.0924129 Refining dt search increment 0.001->0.0001 --Testing dt=0.0191 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0191-0.0104 (0.0087) Potential Increase in error ---POS Preserved --Testing dt=0.0192 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0192-0.0098 (0.0094) Potential Increase in error ---POS Preserved --Testing dt=0.0193 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0193-0.0092 (0.0101) Potential Increase in error ---POS Preserved --Testing dt=0.0194 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0194-0.0086 (0.0108) Potential Increase in error ---POS Preserved --Testing dt=0.0195 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0195-0.008 (0.0115) Potential Increase in error ---POS Preserved --Testing dt=0.0196 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0196-0.0074 (0.0122) Potential Increase in error ---POS Preserved --Testing dt=0.0197 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0197-0.0068 (0.0129) Potential Increase in error ---POS Preserved --Testing dt=0.0198 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0198-0.0062 (0.0136) Potential Increase in error ---POS Preserved --Testing dt=0.0199 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0199-0.0056 (0.0143) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 4 steps t=0.080000 (-3.566619e-07) L2 error at time of violation: 0.0647987 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01991-0.00554 (0.01437) Potential Increase in error ---POS Preserved --Testing dt=0.01992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01992-0.00548 (0.01444) Potential Increase in error ---POS Preserved --Testing dt=0.01993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01993-0.00542 (0.01451) Potential Increase in error ---POS Preserved --Testing dt=0.01994 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01994-0.00536 (0.01458) Potential Increase in error ---POS Preserved --Testing dt=0.01995 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01995-0.0053 (0.01465) Potential Increase in error ---POS Preserved --Testing dt=0.01996 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01996-0.00524 (0.01472) Potential Increase in error ---POS Preserved --Testing dt=0.01997 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01997-0.00518 (0.01479) Potential Increase in error ---POS Preserved --Testing dt=0.01998 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01998-0.00512 (0.01486) Potential Increase in error ---POS Preserved --Testing dt=0.01999 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01999-0.00506 (0.01493) Potential Increase in error ---POS Preserved --Testing dt=0.02 ---POS Violated after 4 steps t=0.080000 (-3.566619e-07) L2 error at time of violation: 0.0647987 Refining dt search increment 1e-05->1e-06 --Testing dt=0.019991 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019991-0.005054 (0.014937) Potential Increase in error ---POS Preserved --Testing dt=0.019992 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019992-0.005048 (0.014944) Potential Increase in error ---POS Preserved --Testing dt=0.019993 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019993-0.005042 (0.014951) Potential Increase in error ---POS Preserved --Testing dt=0.019994 ---POS Violated after 4 steps t=0.079976 (-2.434102e-08) L2 error at time of violation: 0.0648076 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.019993 Theoretial Max dt=0.019994 results_pos = max_dt: 0.0200 s: 7 k: 4 p: [] dx: 0.0100 r: 1.9994 ans = 4 5 7 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k7pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 ---TVD Violated after 5 steps t=0.050000 (5.481602e-02) L2 error at time of violation: 0.0562965 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 ---TVD Violated after 5 steps t=0.045500 (3.411941e-03) L2 error at time of violation: 0.0580861 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00901 ---TVD Violated after 12 steps t=0.108120 (4.574119e-13) L2 error at time of violation: 0.111935 TV Norm History: 2 2 2 2 2 2 2 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009001 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009001-0.007987 (0.001014) Potential Increase in error ---TVD Preserved --Testing dt=0.009002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009002-0.007974 (0.001028) Potential Increase in error ---TVD Preserved --Testing dt=0.009003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009003-0.007961 (0.001042) Potential Increase in error ---TVD Preserved --Testing dt=0.009004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009004-0.007948 (0.001056) Potential Increase in error ---TVD Preserved --Testing dt=0.009005 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009005-0.007935 (0.00107) Potential Increase in error ---TVD Preserved --Testing dt=0.009006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009006-0.007922 (0.001084) Potential Increase in error ---TVD Preserved --Testing dt=0.009007 ---TVD Violated after 12 steps t=0.108084 (1.449951e-13) L2 error at time of violation: 0.111926 TV Norm History: 2 2 2 2 2 2 2 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009006 Theoretial Max dt=0.008820 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 4s5k7pT2.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.01 ---POS Violated after 8 steps t=0.080000 (-3.244391e-05) L2 error at time of violation: 0.107614 Refining dt search increment 0.001->0.0001 --Testing dt=0.0091 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0091-0.0067 (0.0024) Potential Increase in error ---POS Preserved --Testing dt=0.0092 ---POS Violated after 9 steps t=0.082800 (-5.645133e-07) L2 error at time of violation: 0.10585 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00911 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00911-0.00657 (0.00254) Potential Increase in error ---POS Preserved --Testing dt=0.00912 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00912-0.00644 (0.00268) Potential Increase in error ---POS Preserved --Testing dt=0.00913 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00913-0.00631 (0.00282) Potential Increase in error ---POS Preserved --Testing dt=0.00914 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00914-0.00618 (0.00296) Potential Increase in error ---POS Preserved --Testing dt=0.00915 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00915-0.00605 (0.0031) Potential Increase in error ---POS Preserved --Testing dt=0.00916 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00916-0.00592 (0.00324) Potential Increase in error ---POS Preserved --Testing dt=0.00917 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00917-0.00579 (0.00338) Potential Increase in error ---POS Preserved --Testing dt=0.00918 ---POS Violated after 9 steps t=0.082620 (-1.586504e-07) L2 error at time of violation: 0.106007 Refining dt search increment 1e-05->1e-06 --Testing dt=0.009171 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009171-0.005777 (0.003394) Potential Increase in error ---POS Preserved --Testing dt=0.009172 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009172-0.005764 (0.003408) Potential Increase in error ---POS Preserved --Testing dt=0.009173 ---POS Violated after 9 steps t=0.082557 (-1.432671e-08) L2 error at time of violation: 0.106064 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.009172 Theoretial Max dt=0.008820 results_pos = max_dt: 0.0092 s: 4 k: 5 p: [] dx: 0.0100 r: 0.8820 ans = 8 3 8 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k8p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 3 steps t=0.027000 (1.923105e-05) L2 error at time of violation: 0.0687481 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---TVD Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---TVD Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---TVD Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---TVD Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---TVD Preserved --Testing dt=0.0088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0088-0.0018 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.0089 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0089-0.0004 (0.0085) Potential Increase in error ---TVD Preserved --Testing dt=0.009 ---TVD Violated after 3 steps t=0.027000 (1.923105e-05) L2 error at time of violation: 0.0687481 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00891 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00891-0.00026 (0.00865) Potential Increase in error ---TVD Preserved --Testing dt=0.00892 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00892-0.00012 (0.0088) Potential Increase in error ---TVD Preserved --Testing dt=0.00893 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00893-0.00891 (2e-05) Potential Increase in error ---TVD Preserved --Testing dt=0.00894 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00894-0.00878 (0.00016) Potential Increase in error ---TVD Preserved --Testing dt=0.00895 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00895-0.00865 (0.0003) Potential Increase in error ---TVD Preserved --Testing dt=0.00896 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00896-0.00852 (0.00044) Potential Increase in error ---TVD Preserved --Testing dt=0.00897 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00897-0.00839 (0.00058) Potential Increase in error ---TVD Preserved --Testing dt=0.00898 ---TVD Violated after 3 steps t=0.026940 (1.201194e-06) L2 error at time of violation: 0.0687857 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008971-0.008377 (0.000594) Potential Increase in error ---TVD Preserved --Testing dt=0.008972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008972-0.008364 (0.000608) Potential Increase in error ---TVD Preserved --Testing dt=0.008973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008973-0.008351 (0.000622) Potential Increase in error ---TVD Preserved --Testing dt=0.008974 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008974-0.008338 (0.000636) Potential Increase in error ---TVD Preserved --Testing dt=0.008975 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008975-0.008325 (0.00065) Potential Increase in error ---TVD Preserved --Testing dt=0.008976 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008976-0.008312 (0.000664) Potential Increase in error ---TVD Preserved --Testing dt=0.008977 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008977-0.008299 (0.000678) Potential Increase in error ---TVD Preserved --Testing dt=0.008978 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008978-0.008286 (0.000692) Potential Increase in error ---TVD Preserved --Testing dt=0.008979 ---TVD Violated after 3 steps t=0.026937 (2.952144e-07) L2 error at time of violation: 0.0687877 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008978 Theoretial Max dt=0.007994 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 8s3k8p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 3 steps t=0.027000 (-4.807762e-06) L2 error at time of violation: 0.0687481 Refining dt search increment 0.001->0.0001 --Testing dt=0.0081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0081-0.0035 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0082-0.002 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0083-0.0005 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0084-0.0074 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.0085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0085-0.006 (0.0025) Potential Increase in error ---POS Preserved --Testing dt=0.0086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0086-0.0046 (0.004) Potential Increase in error ---POS Preserved --Testing dt=0.0087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0087-0.0032 (0.0055) Potential Increase in error ---POS Preserved --Testing dt=0.0088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0088-0.0018 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0089 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0089-0.0004 (0.0085) Potential Increase in error ---POS Preserved --Testing dt=0.009 ---POS Violated after 3 steps t=0.027000 (-4.807762e-06) L2 error at time of violation: 0.0687481 Refining dt search increment 0.0001->1e-05 --Testing dt=0.00891 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00891-0.00026 (0.00865) Potential Increase in error ---POS Preserved --Testing dt=0.00892 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00892-0.00012 (0.0088) Potential Increase in error ---POS Preserved --Testing dt=0.00893 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00893-0.00891 (2e-05) Potential Increase in error ---POS Preserved --Testing dt=0.00894 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00894-0.00878 (0.00016) Potential Increase in error ---POS Preserved --Testing dt=0.00895 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00895-0.00865 (0.0003) Potential Increase in error ---POS Preserved --Testing dt=0.00896 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00896-0.00852 (0.00044) Potential Increase in error ---POS Preserved --Testing dt=0.00897 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.00897-0.00839 (0.00058) Potential Increase in error ---POS Preserved --Testing dt=0.00898 ---POS Violated after 3 steps t=0.026940 (-3.002985e-07) L2 error at time of violation: 0.0687857 Refining dt search increment 1e-05->1e-06 --Testing dt=0.008971 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008971-0.008377 (0.000594) Potential Increase in error ---POS Preserved --Testing dt=0.008972 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008972-0.008364 (0.000608) Potential Increase in error ---POS Preserved --Testing dt=0.008973 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008973-0.008351 (0.000622) Potential Increase in error ---POS Preserved --Testing dt=0.008974 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008974-0.008338 (0.000636) Potential Increase in error ---POS Preserved --Testing dt=0.008975 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008975-0.008325 (0.00065) Potential Increase in error ---POS Preserved --Testing dt=0.008976 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008976-0.008312 (0.000664) Potential Increase in error ---POS Preserved --Testing dt=0.008977 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008977-0.008299 (0.000678) Potential Increase in error ---POS Preserved --Testing dt=0.008978 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008978-0.008286 (0.000692) Potential Increase in error ---POS Preserved --Testing dt=0.008979 ---POS Violated after 3 steps t=0.026937 (-7.380361e-08) L2 error at time of violation: 0.0687877 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.008978 Theoretial Max dt=0.007994 results_pos = max_dt: 0.0090 s: 8 k: 3 p: [] dx: 0.0100 r: 0.7994 ans = 9 5 8 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k8p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 ---TVD Violated after 5 steps t=0.105000 (1.342423e-04) L2 error at time of violation: 0.0794531 TV Norm History: 2 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0201-0.0044 (0.0157) Potential Increase in error ---TVD Preserved --Testing dt=0.0202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0202-0.0038 (0.0164) Potential Increase in error ---TVD Preserved --Testing dt=0.0203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0203-0.0032 (0.0171) Potential Increase in error ---TVD Preserved --Testing dt=0.0204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0204-0.0026 (0.0178) Potential Increase in error ---TVD Preserved --Testing dt=0.0205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0205-0.002 (0.0185) Potential Increase in error ---TVD Preserved --Testing dt=0.0206 ---TVD Violated after 6 steps t=0.123600 (2.111216e-10) L2 error at time of violation: 0.10084 TV Norm History: 2 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02051 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02051-0.00194 (0.01857) Potential Increase in error ---TVD Preserved --Testing dt=0.02052 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02052-0.00188 (0.01864) Potential Increase in error ---TVD Preserved --Testing dt=0.02053 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02053-0.00182 (0.01871) Potential Increase in error ---TVD Preserved --Testing dt=0.02054 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02054-0.00176 (0.01878) Potential Increase in error ---TVD Preserved --Testing dt=0.02055 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02055-0.0017 (0.01885) Potential Increase in error ---TVD Preserved --Testing dt=0.02056 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02056-0.00164 (0.01892) Potential Increase in error ---TVD Preserved --Testing dt=0.02057 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02057-0.00158 (0.01899) Potential Increase in error ---TVD Preserved --Testing dt=0.02058 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02058-0.00152 (0.01906) Potential Increase in error ---TVD Preserved --Testing dt=0.02059 ---TVD Violated after 6 steps t=0.123540 (1.075331e-10) L2 error at time of violation: 0.100822 TV Norm History: 2 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.020581 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020581-0.001514 (0.019067) Potential Increase in error ---TVD Preserved --Testing dt=0.020582 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.020582-0.001508 (0.019074) Potential Increase in error ---TVD Preserved --Testing dt=0.020583 ---TVD Violated after 6 steps t=0.123498 (8.441248e-12) L2 error at time of violation: 0.10081 TV Norm History: 2 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.020582 Theoretial Max dt=0.020582 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s5k8p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 ---POS Violated after 5 steps t=0.115000 (-2.595500e-04) L2 error at time of violation: 0.0902346 Refining dt search increment 0.001->0.0001 --Testing dt=0.0221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0221-0.0145 (0.0076) Potential Increase in error ---POS Preserved --Testing dt=0.0222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0222-0.014 (0.0082) Potential Increase in error ---POS Preserved --Testing dt=0.0223 ---POS Violated after 5 steps t=0.111500 (-2.649284e-05) L2 error at time of violation: 0.0936038 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02221 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02221-0.01395 (0.00826) Potential Increase in error ---POS Preserved --Testing dt=0.02222 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02222-0.0139 (0.00832) Potential Increase in error ---POS Preserved --Testing dt=0.02223 ---POS Violated after 5 steps t=0.111150 (-3.042676e-06) L2 error at time of violation: 0.0938804 Refining dt search increment 1e-05->1e-06 --Testing dt=0.022221 ---POS Violated after 5 steps t=0.111105 (-2.591123e-08) L2 error at time of violation: 0.0939163 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.022220 Theoretial Max dt=0.020582 results_pos = max_dt: 0.0222 s: 9 k: 5 p: [] dx: 0.0100 r: 2.0582 ans = 9 4 9 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k9p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 ---TVD Violated after 4 steps t=0.068000 (1.028154e-03) L2 error at time of violation: 0.0931105 TV Norm History: 2 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---TVD Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---TVD Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---TVD Preserved --Testing dt=0.0164 ---TVD Violated after 7 steps t=0.114800 (2.231548e-13) L2 error at time of violation: 0.111631 TV Norm History: 2 2 2 2 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01631 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01631-0.01083 (0.00548) Potential Increase in error ---TVD Preserved --Testing dt=0.01632 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01632-0.01076 (0.00556) Potential Increase in error ---TVD Preserved --Testing dt=0.01633 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01633-0.01069 (0.00564) Potential Increase in error ---TVD Preserved --Testing dt=0.01634 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01634-0.01062 (0.00572) Potential Increase in error ---TVD Preserved --Testing dt=0.01635 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01635-0.01055 (0.0058) Potential Increase in error ---TVD Preserved --Testing dt=0.01636 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01636-0.01048 (0.00588) Potential Increase in error ---TVD Preserved --Testing dt=0.01637 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01637-0.01041 (0.00596) Potential Increase in error ---TVD Preserved --Testing dt=0.01638 ---TVD Violated after 7 steps t=0.114660 (1.068035e-13) L2 error at time of violation: 0.111708 TV Norm History: 2 2 2 2 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016371 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016371-0.010403 (0.005968) Potential Increase in error ---TVD Preserved --Testing dt=0.016372 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016372-0.010396 (0.005976) Potential Increase in error ---TVD Preserved --Testing dt=0.016373 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016373-0.010389 (0.005984) Potential Increase in error ---TVD Preserved --Testing dt=0.016374 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016374-0.010382 (0.005992) Potential Increase in error ---TVD Preserved --Testing dt=0.016375 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016375-0.010375 (0.006) Potential Increase in error ---TVD Preserved --Testing dt=0.016376 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016376-0.010368 (0.006008) Potential Increase in error ---TVD Preserved --Testing dt=0.016377 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016377-0.010361 (0.006016) Potential Increase in error ---TVD Preserved --Testing dt=0.016378 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016378-0.010354 (0.006024) Potential Increase in error ---TVD Preserved --Testing dt=0.016379 ---TVD Violated after 7 steps t=0.114653 (1.016964e-13) L2 error at time of violation: 0.111712 TV Norm History: 2 2 2 2 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016378 Theoretial Max dt=0.015895 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 9s4k9p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---POS Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---POS Preserved --Testing dt=0.017 ---POS Violated after 6 steps t=0.102000 (-2.064633e-10) L2 error at time of violation: 0.103662 Refining dt search increment 0.001->0.0001 --Testing dt=0.0161 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0161-0.0123 (0.0038) Potential Increase in error ---POS Preserved --Testing dt=0.0162 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0162-0.0116 (0.0046) Potential Increase in error ---POS Preserved --Testing dt=0.0163 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0163-0.0109 (0.0054) Potential Increase in error ---POS Preserved --Testing dt=0.0164 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0164-0.0102 (0.0062) Potential Increase in error ---POS Preserved --Testing dt=0.0165 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0165-0.0095 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.0166 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0166-0.0088 (0.0078) Potential Increase in error ---POS Preserved --Testing dt=0.0167 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0167-0.0081 (0.0086) Potential Increase in error ---POS Preserved --Testing dt=0.0168 ---POS Violated after 7 steps t=0.117600 (-2.897731e-13) L2 error at time of violation: 0.113664 Refining dt search increment 0.0001->1e-05 --Testing dt=0.01671 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01671-0.00803 (0.00868) Potential Increase in error ---POS Preserved --Testing dt=0.01672 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01672-0.00796 (0.00876) Potential Increase in error ---POS Preserved --Testing dt=0.01673 ---POS Violated after 7 steps t=0.117110 (-1.126596e-13) L2 error at time of violation: 0.113187 Refining dt search increment 1e-05->1e-06 --Testing dt=0.016721 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016721-0.007953 (0.008768) Potential Increase in error ---POS Preserved --Testing dt=0.016722 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016722-0.007946 (0.008776) Potential Increase in error ---POS Preserved --Testing dt=0.016723 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016723-0.007939 (0.008784) Potential Increase in error ---POS Preserved --Testing dt=0.016724 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016724-0.007932 (0.008792) Potential Increase in error ---POS Preserved --Testing dt=0.016725 ---POS Violated after 7 steps t=0.117075 (-1.015757e-13) L2 error at time of violation: 0.113154 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.016724 Theoretial Max dt=0.015895 results_pos = max_dt: 0.0167 s: 9 k: 4 p: [] dx: 0.0100 r: 1.5895 ans = 20 3 10 SSP Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 20s3k10p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.002 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.002-0.001 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.003 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.003-0.002 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.004 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.004-0.001 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.005 ---TVD Preserved --Testing dt=0.006 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.006-0.005 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.007 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.007-0.006 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.008 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.008-0.005 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.009 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.009-0.008 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.01 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.01-0.005 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.011 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.011-0.004 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.012 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.012-0.005 (0.007) Potential Increase in error ---TVD Preserved --Testing dt=0.013 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.013-0.008 (0.005) Potential Increase in error ---TVD Preserved --Testing dt=0.014 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.014-0.013 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.015 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.015-0.005 (0.01) Potential Increase in error ---TVD Preserved --Testing dt=0.016 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.016-0.013 (0.003) Potential Increase in error ---TVD Preserved --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---TVD Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---TVD Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---TVD Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---TVD Preserved --Testing dt=0.022 ---TVD Violated after 3 steps t=0.066000 (4.221388e-06) L2 error at time of violation: 0.0795522 TV Norm History: 2 2 2 Refining dt search increment 0.001->0.0001 --Testing dt=0.0211 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0211-0.0195 (0.0016) Potential Increase in error ---TVD Preserved --Testing dt=0.0212 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0212-0.019 (0.0022) Potential Increase in error ---TVD Preserved --Testing dt=0.0213 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0213-0.0185 (0.0028) Potential Increase in error ---TVD Preserved --Testing dt=0.0214 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.0214-0.018 (0.0034) Potential Increase in error ---TVD Preserved --Testing dt=0.0215 ---TVD Violated after 3 steps t=0.064500 (3.047529e-07) L2 error at time of violation: 0.0790353 TV Norm History: 2 2 2 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02141 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02141-0.01795 (0.00346) Potential Increase in error ---TVD Preserved --Testing dt=0.02142 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02142-0.0179 (0.00352) Potential Increase in error ---TVD Preserved --Testing dt=0.02143 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02143-0.01785 (0.00358) Potential Increase in error ---TVD Preserved --Testing dt=0.02144 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02144-0.0178 (0.00364) Potential Increase in error ---TVD Preserved --Testing dt=0.02145 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02145-0.01775 (0.0037) Potential Increase in error ---TVD Preserved --Testing dt=0.02146 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02146-0.0177 (0.00376) Potential Increase in error ---TVD Preserved --Testing dt=0.02147 ---TVD Violated after 3 steps t=0.064410 (7.452386e-08) L2 error at time of violation: 0.0790097 TV Norm History: 2 2 2 Refining dt search increment 1e-05->1e-06 --Testing dt=0.021461 ---TVD Violated after 3 steps t=0.064383 (5.555614e-09) L2 error at time of violation: 0.0790021 TV Norm History: 2 2 2 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.021460 Theoretial Max dt=0.018348 Positivity Test Problem: < SSP_Tools.TestProblems.Advection: PDE.get_available_initial_conds/stepfcn [0, 1] t= > Time Stepping Method: < SSP_Tools.Integrators.MSRK: MSRK 20s3k10p.mat priming=use-exact > Spatial Discretization: < SSP_Tools.Discretizers.FiniteDifference > --Testing dt=0.017 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.017-0.006 (0.011) Potential Increase in error ---POS Preserved --Testing dt=0.018 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.018-0.017 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.019 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.019-0.011 (0.008) Potential Increase in error ---POS Preserved --Testing dt=0.02 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02-0.005 (0.015) Potential Increase in error ---POS Preserved --Testing dt=0.021 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.021-0.02 (0.001) Potential Increase in error ---POS Preserved --Testing dt=0.022 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022-0.015 (0.007) Potential Increase in error ---POS Preserved --Testing dt=0.023 ---POS Violated after 3 steps t=0.069000 (-1.819404e-06) L2 error at time of violation: 0.0810677 Refining dt search increment 0.001->0.0001 --Testing dt=0.0221 ---POS Violated after 3 steps t=0.066300 (-2.129185e-08) L2 error at time of violation: 0.0796755 Refining dt search increment 0.0001->1e-05 --Testing dt=0.02201 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02201-0.01495 (0.00706) Potential Increase in error ---POS Preserved --Testing dt=0.02202 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02202-0.0149 (0.00712) Potential Increase in error ---POS Preserved --Testing dt=0.02203 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02203-0.01485 (0.00718) Potential Increase in error ---POS Preserved --Testing dt=0.02204 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02204-0.0148 (0.00724) Potential Increase in error ---POS Preserved --Testing dt=0.02205 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02205-0.01475 (0.0073) Potential Increase in error ---POS Preserved --Testing dt=0.02206 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02206-0.0147 (0.00736) Potential Increase in error ---POS Preserved --Testing dt=0.02207 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02207-0.01465 (0.00742) Potential Increase in error ---POS Preserved --Testing dt=0.02208 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.02208-0.0146 (0.00748) Potential Increase in error ---POS Preserved --Testing dt=0.02209 ---POS Violated after 3 steps t=0.066270 (-1.723801e-09) L2 error at time of violation: 0.0796629 Refining dt search increment 1e-05->1e-06 --Testing dt=0.022081 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022081-0.014595 (0.007486) Potential Increase in error ---POS Preserved --Testing dt=0.022082 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022082-0.01459 (0.007492) Potential Increase in error ---POS Preserved --Testing dt=0.022083 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022083-0.014585 (0.007498) Potential Increase in error ---POS Preserved --Testing dt=0.022084 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022084-0.01458 (0.007504) Potential Increase in error ---POS Preserved --Testing dt=0.022085 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022085-0.014575 (0.00751) Potential Increase in error ---POS Preserved --Testing dt=0.022086 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022086-0.01457 (0.007516) Potential Increase in error ---POS Preserved --Testing dt=0.022087 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022087-0.014565 (0.007522) Potential Increase in error ---POS Preserved --Testing dt=0.022088 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022088-0.01456 (0.007528) Potential Increase in error ---POS Preserved --Testing dt=0.022089 SSP_Tools:StepSizeChanged - Advanced with inconsistent stepsize 0.022089-0.014555 (0.007534) Potential Increase in error ---POS Preserved --Testing dt=0.02209 ---POS Violated after 3 steps t=0.066270 (-1.723801e-09) L2 error at time of violation: 0.0796629 Refining dt search increment 1e-06->1e-07 Largest Max dt=0.022089 Theoretial Max dt=0.018348 results_pos = max_dt: 0.0221 s: 20 k: 3 p: [] dx: 0.0100 r: 1.8348 Method & dt_tvd/dx & dt_tvd/dx/s & r & r/s & dt_pos/dx & dt_pos/dx/s (2,3,3) & 1.113 & 0.556 & 1.113 & 0.556 & 1.113 & 0.556 \\ (3,1,3) & 1.000 & 0.333 & 1.000 & 0.333 & 1.028 & 0.343 \\ (6,3,3) & 3.777 & 0.629 & 3.777 & 0.629 & 3.777 & 0.629 \\ (7,3,3) & 6.300 & 0.900 & 4.484 & 0.641 & 6.300 & 0.900 \\ (2,3,4) & 0.495 & 0.248 & 0.495 & 0.248 & 0.495 & 0.248 \\ (3,4,4) & 1.365 & 0.455 & 1.365 & 0.455 & 1.365 & 0.455 \\ (4,1,4) & 1.000 & 0.250 & 0.000 & 0.000 & 1.031 & 0.258 \\ (7,3,4) & 3.749 & 0.536 & 3.749 & 0.536 & 4.001 & 0.572 \\ (10,1,4) & 6.000 & 0.600 & 6.000 & 0.600 & 6.033 & 0.603 \\ (3,3,5) & 0.641 & 0.214 & 0.638 & 0.213 & 0.663 & 0.221 \\ (3,4,5) & 1.001 & 0.334 & 1.001 & 0.334 & 1.001 & 0.334 \\ (3,5,5) & 1.162 & 0.387 & 1.162 & 0.387 & 1.162 & 0.387 \\ (6,3,5) & 2.423 & 0.404 & 2.423 & 0.404 & 2.423 & 0.404 \\ (3,5,6) & 0.657 & 0.219 & 0.657 & 0.219 & 0.657 & 0.219 \\ (4,4,6) & 0.985 & 0.246 & 0.971 & 0.243 & 0.985 & 0.246 \\ (5,3,6) & 1.361 & 0.272 & 1.361 & 0.272 & 1.361 & 0.272 \\ (6,5,6) & 2.067 & 0.345 & 2.067 & 0.345 & 2.139 & 0.357 \\ (9,3,6) & 3.146 & 0.350 & 3.144 & 0.349 & 3.578 & 0.398 \\ (4,5,7) & 0.901 & 0.225 & 0.882 & 0.220 & 0.917 & 0.229 \\ (7,3,7) & 1.699 & 0.243 & 1.699 & 0.243 & 1.699 & 0.243 \\ (7,4,7) & 1.999 & 0.286 & 1.999 & 0.286 & 1.999 & 0.286 \\ (8,3,8) & 0.898 & 0.112 & 0.799 & 0.100 & 0.898 & 0.112 \\ (9,5,8) & 2.058 & 0.229 & 2.058 & 0.229 & 2.222 & 0.247 \\ (9,4,9) & 1.638 & 0.182 & 1.590 & 0.177 & 1.672 & 0.186 \\ (20,3,10) & 2.146 & 0.107 & 1.835 & 0.092 & 2.209 & 0.110 \\