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Copy pathStiffnessBasicTestTerminalOutput
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StiffnessBasicTestTerminalOutput
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(base) xinyang@MacBook-Pro Code % ./BasicTest2.exe
Problem 1 Basic Test from Niegemann:
LSRK12:
h = 0.1: Total error = 35.7483
h = 0.09: Total error = 29.8484
h = 0.08: Total error = 27.9024
h = 0.07: Total error = 27.2109
h = 0.06: Total error = 29.9279
h = 0.05: Total error = 27.1068
h = 0.04: Total error = 23.8404
h = 0.03: Total error = 28.0362
h = 0.02: Total error = 20.1796
h = 0.01: Total error = 14.3193, conv rate = 0.494937
h = 0.009: Total error = 13.5515
h = 0.008: Total error = 14.0619
h = 0.007: Total error = 10.3057
h = 0.006: Total error = 8.17504
h = 0.005: Total error = 7.1362
h = 0.004: Total error = 5.09382
h = 0.003: Total error = 2.99311
h = 0.002: Total error = 0.00389221
h = 0.001: Total error = 1.71848e-09, conv rate = 21.111
h = 0.0009: Total error = 2.27138e-10
h = 0.0008: Total error = 1.04209e-10
h = 0.0007: Total error = 1.00736e-10
h = 0.0006: Total error = 1.78353e-11
h = 0.0005: Total error = 1.5667e-11
h = 0.0004: Total error = 3.95605e-12
h = 0.0003: Total error = 5.16035e-13
h = 0.0002: Total error = 7.2338e-14
h = 0.0001: Total error = 1.38362e-14, conv rate = 2.38631
LSRK13:
h = 0.1: Total error = 8.52856
h = 0.09: Total error = 25.642
h = 0.08: Total error = 13.8395
h = 0.07: Total error = 24.025
h = 0.06: Total error = 23.9139
h = 0.05: Total error = 21.2907
h = 0.04: Total error = 15.6072
h = 0.03: Total error = 17.2889
h = 0.02: Total error = 12.8851
h = 0.01: Total error = 5.37802, conv rate = 1.26056
h = 0.009: Total error = 5.05136
h = 0.008: Total error = 4.1082
h = 0.007: Total error = 0.407673
h = 0.006: Total error = 1.47459
h = 0.005: Total error = 0.0160344
h = 0.004: Total error = 1.60993e-09
h = 0.003: Total error = 9.44842e-10
h = 0.002: Total error = 3.84286e-09
h = 0.001: Total error = 2.02493e-10, conv rate = 4.24624
h = 0.0009: Total error = 5.09655e-11
h = 0.0008: Total error = 2.45833e-11
h = 0.0007: Total error = 2.94981e-11
h = 0.0006: Total error = 8.08428e-12
h = 0.0005: Total error = 8.41873e-12
h = 0.0004: Total error = 3.02095e-12
h = 0.0003: Total error = 6.05002e-13
h = 0.0002: Total error = 1.36724e-13
h = 0.0001: Total error = 1.84054e-14, conv rate = 2.89306
LSRK14:
h = 0.1: Total error = 13.7567
h = 0.09: Total error = 13.7785
h = 0.08: Total error = 8.65021
h = 0.07: Total error = 18.7034
h = 0.06: Total error = 15.9308
h = 0.05: Total error = 17.5651
h = 0.04: Total error = 18.2136
h = 0.03: Total error = 10.5439
h = 0.02: Total error = 11.6561
h = 0.01: Total error = 0.221721, conv rate = 5.7162
h = 0.009: Total error = 73.85
h = 0.008: Total error = 0.00579948
h = 0.007: Total error = 1.63143e-07
h = 0.006: Total error = 1.4279e-08
h = 0.005: Total error = 1.50494e-08
h = 0.004: Total error = 2.37704e-09
h = 0.003: Total error = 5.13242e-10
h = 0.002: Total error = 1.8889e-09
h = 0.001: Total error = 1.84081e-10, conv rate = 3.35914
h = 0.0009: Total error = 5.62779e-11
h = 0.0008: Total error = 2.7249e-11
h = 0.0007: Total error = 3.4407e-11
h = 0.0006: Total error = 1.10469e-11
h = 0.0005: Total error = 1.20711e-11
h = 0.0004: Total error = 4.88985e-12
h = 0.0003: Total error = 1.13261e-12
h = 0.0002: Total error = 3.01596e-13
h = 0.0001: Total error = 3.02536e-14, conv rate = 3.31744
ERK4:
h = 0.1: Total error = 41.8327
h = 0.09: Total error = 35.7264
h = 0.08: Total error = 47.6829
h = 0.07: Total error = 29.0365
h = 0.06: Total error = 32.4664
h = 0.05: Total error = 33.7756
h = 0.04: Total error = 28.9669
h = 0.03: Total error = 28.7722
h = 0.02: Total error = 26.4269
h = 0.01: Total error = 18.8959, conv rate = 0.483934
h = 0.009: Total error = 19.0826
h = 0.008: Total error = 18.6681
h = 0.007: Total error = 16.3265
h = 0.006: Total error = 13.405
h = 0.005: Total error = 11.0822
h = 0.004: Total error = 10.2104
h = 0.003: Total error = 8.23746
h = 0.002: Total error = 3.93464
h = 0.001: Total error = 2.62512e-06, conv rate = 20.5154
h = 0.0009: Total error = 7.30916e-08
h = 0.0008: Total error = 1.59266e-08
h = 0.0007: Total error = 1.37014e-08
h = 0.0006: Total error = 3.16049e-09
h = 0.0005: Total error = 3.04778e-09
h = 0.0004: Total error = 1.06787e-09
h = 0.0003: Total error = 2.18326e-10
h = 0.0002: Total error = 5.05983e-11
h = 0.0001: Total error = 2.74047e-12, conv rate = 4.2066
FE:
h = 0.1: Total error = 17.4209
h = 0.09: Total error = 18.2702
h = 0.08: Total error = 14.9529
h = 0.07: Total error = 18.3833
h = 0.06: Total error = 63.9435
h = 0.05: Total error = 13.6471
h = 0.04: Total error = 20.4843
h = 0.03: Total error = 20.4477
h = 0.02: Total error = 20.656
h = 0.01: Total error = 12.7756, conv rate = 0.693175
h = 0.009: Total error = 21.2194
h = 0.008: Total error = 13.8579
h = 0.007: Total error = 12.9927
h = 0.006: Total error = 13.5911
h = 0.005: Total error = 5.52008
h = 0.004: Total error = 7.70033
h = 0.003: Total error = 17.5731
h = 0.002: Total error = 3.07205
h = 0.001: Total error = 7.30018e-05, conv rate = 15.3609
h = 0.0009: Total error = 6.56409e-05
h = 0.0008: Total error = 5.83314e-05
h = 0.0007: Total error = 5.1076e-05
h = 0.0006: Total error = 4.37665e-05
h = 0.0005: Total error = 3.6502e-05
h = 0.0004: Total error = 2.92016e-05
h = 0.0003: Total error = 2.18922e-05
h = 0.0002: Total error = 1.46008e-05
h = 0.0001: Total error = 7.30038e-06, conv rate = 1
(base) xinyang@MacBook-Pro Code %