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butcher_tests.txt
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butcher_tests.txt
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Explicit, embedded methods:
| | Method | Embedding |
Name | s | q lq | p lp | tol
-----------------------------------------------------------------
Heun-Euler-ERK | 2 | 2 2 | 1 1 | 1e-40
SSP(2,2)-ERK | 2 | 2 2 | 1 1 | 1e-40
SSP(4,2)-ERK | 4 | 2 2 | 1 1 | 1e-40
SSP(10,2)-ERK | 10 | 2 2 | 1 1 | 1e-15
ERK-3-3 | 3 | 3 3 | 2 2 | 1e-40
SSP(4,3)-ERK | 4 | 3 3 | 2 2 | 1e-40
SSP(9,3)-ERK | 9 | 3 3 | 2 2 | 1e-40
SSP(16,3)-ERK | 16 | 3 3 | 2 2 | 1e-40
ARK3(2)4L[2]SA-ERK | 4 | 3 3 | 2 2 | 1e-40
Bogacki-Shampine-ERK | 4 | 3 3 | 2 2 | 1e-40
SSP(10,4)-ERK | 10 | 4 4 | 3 3 | 1e-40
Merson-4-3-ERK | 5 | 4 4 | 3 5 | 1e-40
Zonneveld-4-3-ERK | 5 | 4 4 | 3 3 | 1e-40
ARK4(3)6L[2]SA-ERK | 6 | 4 4 | 3 3 | 1e-15
Sayfy-Aburub-4-3-ERK | 6 | 4 4 | 3 3 | 1e-15
ARK4(3)7L[2]SA-ERK | 7 | 4 4 | 3 3 | 1e-15
Fehlberg-ERK | 6 | 5 5 | 4 4 | 1e-15
Cash-Karp-ERK | 6 | 5 5 | 4 4 | 1e-15
Dormand-Prince-ERK | 7 | 5 5 | 4 4 | 1e-15
ARK5(4)8L[2]SA-ERK | 8 | 5 5 | 4 4 | 1e-14
ARK5(4)8L[2]SAb-ERK | 8 | 5 5 | 4 4 | 1e-15
Verner-6-5-ERK | 8 | 6 6 | 5 5 | 1e-15
Fehlberg-8-7-ERK | 13 | 6 8 | 6 7 | 1e-14
-----------------------------------------------------------------
Warning: Fehlberg-8-7-ERK has mismatched orders (6,6 vs 8,7)
Diagonally-implicit, embedded methods:
| | Method | Embedding |
Name | s | q lq A B L | p lp A B L | qs tol
----------------------------------------------------------------------------------------
SDIRK-2-1 | 2 | 2 2 Y Y | 1 1 Y Y Y | 1 1e-40
SDIRK-2-2 | 2 | 2 2 Y Y | 1 1 | 1 1e-40
TRBDF2-ESDIRK | 3 | 2 2 Y Y | 3 3 | 2 1e-40
TRX2-ESDIRK | 3 | 2 2 Y | 3 3 | 2 1e-40
Billington-SDIRK | 3 | 2 2 Y | 3 3 | 1 1e-11
ARK3(2)4L[2]SA-ESDIRK | 4 | 3 3 Y Y | 2 2 Y | 2 1e-40
Kvaerno(4,2,3)-ESDIRK | 4 | 3 3 Y | 2 2 Y | 2 1e-14
ESDIRK3(2)4L[2]SA | 4 | 3 3 Y Y | 2 2 Y | 2 1e-15
ESDIRK3(2)5L[2]SA | 5 | 3 3 Y Y | 2 2 Y Y | 2 1e-15
ESDIRK3(2I)5L[2]SA | 5 | 3 3 Y Y | 2 2 Y Y | 2 1e-15
SDIRK-5-4 | 5 | 4 4 Y Y | 3 3 Y | 1 1e-15
Cash(5,3,4)-SDIRK | 5 | 4 4 Y Y | 3 3 Y | 1 1e-10
Kvaerno(5,3,4)-ESDIRK | 5 | 4 4 Y | 3 3 Y | 2 1e-14
Cash(5,2,4)-SDIRK | 5 | 4 4 Y Y | 2 2 Y | 1 1e-10
ESDIRK4(3)6L[2]SA | 6 | 4 4 Y Y | 3 3 Y Y | 2 1e-15
ESDIRK4(3I)6L[2]SA | 6 | 4 4 Y Y | 3 3 Y Y | 2 1e-15
ESDIRK4(3)7L[2]SA | 7 | 4 4 Y Y | 3 3 Y Y | 2 1e-15
QESDIRK4(3)6L[2]SA | 6 | 4 4 Y Y | 3 3 Y Y | 2 1e-14
ARK4(3)6L[2]SA-ESDIRK | 6 | 4 4 Y Y | 3 3 Y | 2 1e-15
ARK4(3)7L[2]SA-ESDIRK | 7 | 4 4 Y Y | 3 3 Y Y | 2 1e-16
ESDIRK5(3)6L[2]SA | 6 | 5 5 Y Y | 3 3 Y Y | 2 1e-40
ESDIRK5(4)7L[2]SA | 7 | 5 5 Y Y | 4 4 Y | 2 1e-15
ESDIRK5(4)7L[2]SA2 | 7 | 5 5 Y Y | 4 4 Y | 2 1e-15
ESDIRK5(4)8L[2]SA | 8 | 5 5 Y Y | 1 1 | 2 1e-16
ARK5(4)8L[2]SA-ESDIRK | 8 | 5 5 Y Y | 4 4 Y | 2 1e-15
ARK5(4)8L[2]SAb-ESDIRK | 8 | 5 5 Y Y | 4 4 Y | 2 1e-16
Kvaerno(7,4,5)-ESDIRK | 7 | 5 5 Y Y | 4 4 Y | 2 1e-15
ESDIRK5(4I)8L[2]SA | 8 | -1 -1 Y | -1 -1 | 0 1e+00
ESDIRK6(4)7A[2] | 7 | -1 -1 | -1 -1 | 0 1e+00
ESDIRK6(5)9L[2]SA | 9 | 6 6 Y Y | 0 0 | 2 1e-15
----------------------------------------------------------------------------------------
Warning: ESDIRK5(4)8L[2]SA has mismatched orders (5,1 vs 5,4)
Warning: ESDIRK5(4I)8L[2]SA has mismatched orders (-1,-1 vs 5,4)
Warning: ESDIRK6(4)7A[2] has mismatched orders (-1,-1 vs 6,4)
Warning: ESDIRK6(5)9L[2]SA has mismatched orders (6,0 vs 6,5)