|
RK4 |
RKF |
TR- BDF2 |
Rosen- brock |
IMEX |
JVODE ADAMS |
JVODE BDF |
JLSODE |
Protocol 1 (single pulse) |
Tol1 |
1.0 |
1.19e-3 |
5.66e-3 |
5.32e-4 |
5.27e-4 |
5.74e-4 |
8.62e-4 |
4.88e-4 |
Tol2 |
1.0 |
1.98e-3 |
2.11e-2 |
6.49e-4 |
6.06e-4 |
1.05e-3 |
1.47e-2 |
8.88e-4 |
ΔP1 Tol1/Tol2 |
- |
7.9e-4 |
1.54e-2 |
1.17e-4 |
7.9e-5 |
4.76e-4 |
1.38e-2 |
4e-4 |
Protocol 2 (repeated pulses) |
Tol1 |
1.0 |
1.95e-3 |
6.12e-3 |
6.07e-4 |
5.87e-4 |
7.48e-4 |
1.95e-3 |
7.53e-4 |
Tol2 |
1.0 |
2.09e-3 |
1.86e-2 |
1.03e-3 |
8.8e-4 |
2.46e-3 |
3.07e-2 |
1.7e-3 |
ΔP2 Tol1/Tol2 |
- |
1.4e-4 |
1.25e-2 |
4.23e-4 |
2.93e-4 |
1.71e-3 |
1.12e-2 |
9.47e-3 |
ΔTol1 P1/P2 |
- |
7.6e-4 |
4.6e-4 |
7.5e-5 |
6e-5 |
1.74e-4 |
1.08e-3 |
2.65e-4 |
ΔTol2 P1/P2 |
- |
11e-4 |
2.5e-3 |
3.81e-4 |
2.74e-4 |
6.6e-4 |
1.6e-2 |
8.12e-4 |
Tol1 and Tol2 represent the ||p|| norm value for each algorithm with P1 and P2 protocols. ΔP1 Tol1/Tol2 represents the absolute difference between Tol1 and Tol2 for P1,
whereas ΔP2 Tol1 / Tol2 represents the same absolute difference for P2. ΔTol1 P1/P2 represents the absolute difference between P1 and P2 for Tol1 parameters, whereas
ΔTol2 P1/P2 represents the same absolute difference for Tol2. |