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.
Table 7: Quantiļ¬cation and comparison of normalized solver performances for the N-type VDCC model.