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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.