RK4

RKF

TR-

Rosen-

IMEX

JVODE

JVODE

JLSODE

 

 

 

BDF2

brock

 

ADAMS

BDF

 

Protocol 1 (single pulse)

Tol1

1.0

8.025e-3

3.587e-3

5.25e-4

5.22e-4

5.45e-4

8.83e-4

5.59e-4

Tol2

1.0

8.051e-3

1.8478

6.04e-4

5.76e-4

8.96e-4

1.163e-2

8.79e-4

ΔP1 Tol1/Tol2

-

2.6e-5

1.8444

7.9e-5

5.4e-5

3.51e-4

1.075e-2

3.29e-4

Protocol 2 (repeated pulses)

Tol1

1.0

8.034e-3

8.004e-3

5.74e-4

5.63e-4

6.76e-4

1.51e-3

6.6e-4

Tol2

1.0

8.067e-3

2.7826

8.04e-4

7.18e-4

1.554e-3

2.18e-2

1.35e-3

ΔP2 Tol1/Tol2

-

3.3e-5

2.7746

2.3e-4

1.55e-4

8.68e-4

2.029e-2

6.92e-4

ΔTol1 P1/P2

-

9.1e-6

4.417e-3

4.9e-5

4.1e-5

1.31e-4

6.27e-4

1.01e-4

Δ Tol2 P1/P2

-

1.6e-6

0.9347

2.4e-4

1.42e-4

6.48e-4

1.016e-2

4.73e-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.
Table 5: Quantification and comparison of normalized solver performances for the NMDA15 model.