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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
  1. Period and amplitude data for α(X) and ρ(Z) from Figure 3.