Note on the startup of ODE solvers

Authors:
A. C. Hindmarsh
Affiliations:
Numerical Mathematics Group, Livermore, California
Venue:
ACM SIGNUM Newsletter
Year:
1976

Citing 2
Cited 0

A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations

ACM Transactions on Mathematical Software (TOMS)
A note on variable order strategies for differential equation solvers

ACM SIGNUM Newsletter

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Abstract

In a recent note in this Newsletter [1], Warner concludes that stiff ODE solvers may need to start up with a high-order method because a first-order startup can lead to certain incompatible requirements if the problem is sufficiently stiff. This note attempts to show why that conclusion is unwarranted.