Table 3 Quantitative performance measures under SET ('RelTol' = 10-6)
From: Quantitative analysis of numerical solvers for oscillatory biomolecular system models
Solver Type | Non-stiff | Stiff | Moderately stiff | ||||
|---|---|---|---|---|---|---|---|
Solver | ode23 | ode45 | ode113 | ode15s | ode23s | ode23tb | ode23t |
Successful steps | 5821 | 2306 | 2434 | 2421 | 10996 | 6609 | 8459 |
Failed attempts | 0 | 0 | 93 | 240 | 0 | 17 | 5 |
Function evaluations | 17464 | 13837 | 4962 | 5242 | 65978 | 24311 | 15564 |
Partial derivatives | n/a | 30 | 10996 | 10 | 1 | ||
LU decompositions | 499 | 10996 | 458 | 461 | |||
Solutions of linear systems | 5121 | 32988 | 30887 | 15559 | |||
Convergence | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
Period♯ | 13.6 | 13.6 | 13.7 | 13.4 | 13.6 | 12.4 | 12.4 |
Amplitude♯ | 50.6 | 50.5 | 50.7 | 48.4 | 50.5 | 44.0 | 43.3 |