|
RK4 |
RKF |
TR- BDF2 |
Rosen- brock |
IMEX |
JVODE ADAMS |
JVODE BDF |
JLSODE |
Protocol 1 (single pulse) |
Tol1 |
1.0 |
5.004e-2 |
5.154e-2 |
5.006e-2 |
5.007e-2 |
5.008e-2 |
5.008e-2 |
5.003e-2 |
Tol2 |
1.0 |
5.004e-2 |
0.683 |
5.006e-2 |
5.007e-2 |
5.008e-2 |
5.008e-2 |
5.003e-2 |
ΔP1 Tol1/Tol2 |
- |
2.5e-8 |
0.6314 |
9.84e-7 |
9.4e-8 |
1.056e-6 |
1e-6 |
1.2e-8 |
Protocol 2 (repeated pulses) |
Tol1 |
1.0 |
5.001e-2 |
5.647e-2 |
5.018e-2 |
5.019e-2 |
5.037e-2 |
5.037e-2 |
5e-2 |
Tol2 |
1.0 |
5.001e-2 |
3.215 |
5.018e-2 |
5.019e-2 |
5.037e-2 |
5.037e-2 |
5e-2 |
ΔP2 Tol1/Tol2 |
- |
2.7e-10 |
3.1587 |
2.8e-8 |
1.08e-7 |
6.4e-8 |
2e-9 |
1e-9 |
ΔTol1 P1/P2 |
- |
5.976e-6 |
4.933e-3 |
1.198e-5 |
1.192e-5 |
2.988e-5 |
2.899e-5 |
5.99e-6 |
ΔTol2 P1/P2 |
- |
6e-6 |
2.5322 |
1.102e-5 |
1.213e-5 |
3.006e-5 |
3e-5 |
6.01e-6 |
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 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, whereas
ΔTol2 P1/P2 represents the same absolute difference for Tol2. |
