|
RK4 |
RKF |
TR- BDF2 |
Rosen- brock |
IMEX |
JVODE ADAMS |
JVODE BDF |
JLSODE |
Protocol 1 (single pulse) |
Tol1 |
1.0 |
1.34e-3 |
1.46e-3 |
5.27e-4 |
5.23e-4 |
5.59e-4 |
1.02e-3 |
5.49e-4 |
Tol2 |
1.0 |
1.35e-3 |
4.31e-2 |
6.44e-4 |
5.98e-4 |
1.01e-3 |
1.97e-2 |
8.64e-4 |
ΔP1 Tol1/Tol2 |
- |
1e-5 |
4.16e-2 |
1.17e-4 |
7.5e-5 |
4.5e-4 |
1.87e-2 |
3.15e-4 |
Protocol 2 (repeated pulses) |
Tol1 |
1.0 |
2.39e-3 |
7.09e-3 |
6.14e-4 |
5.87e-4 |
7.85e-4 |
2.2e-3 |
7.19e-4 |
Tol2 |
1.0 |
2.41e-3 |
1.65e-2 |
1.12e-3 |
7.86e-4 |
2.61e-3 |
1.69e-2 |
1.79e-3 |
ΔP2 Tol1/Tol2 |
- |
2.1e-5 |
9.41e-3 |
5.06e-4 |
1.99e-4 |
1.8e-3 |
1.47e-2 |
1.1e-3 |
ΔTol1 P1/P2 |
- |
1.1e-3 |
5.6e-3 |
8.7e-5 |
7.5e-5 |
2.26e-4 |
1.2e-3 |
1.7e-4 |
ΔTol2 P1/P2 |
- |
1.1e-3 |
2.66e-2 |
4.76e-3 |
7.11e-3 |
1.6e-3 |
2.8e-3 |
9.26e-4 |
Tol1 and Tol2 represent the ||p|| norm value for each algorithm with P1 and P2 protocols. ΔP1 Tol1/ Tol2 epresents the absolute difference between Tol1 and Tol2 for P1,
whereas Δ P2 Tol1/ Tol2 represents the same absolute difference for P2. Δ Tol1 P1/P2 represents the absolute difference between P1 and P2 for Tol1 parameters, hereas
ΔTol2 P1/P2 represents the same absolute difference for Tol2. |