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Table 2 Quantitative performance measures under RET ('RelTol' = 10-3)

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 - 785 - 827 - 695 859
Failed attempts - 30 - 147 - 141 127
Function evaluations - 4891 - 2222 - 3757 2439
Partial derivatives n/a 43 - 71 63
LU decompositions     272 - 370 377
Solutions of linear systems     2049 - 4218 2186
Convergence No Yes No Yes No Yes Yes
Take-off point Variable - 25.55 - 23.05 - -
Period - 13.5 - 8.5 - 8.9 8.5
Amplitude - 49.7 - 23.4 - 25.6 21.7
  1. 'Take-off' point defined as the pivotal time-point when the numerical solution first departs radically from expected limit cycle behavior, by visual inspection.
  2. Period and amplitude data for α(X) and ρ(Z) from Figure 3.