The application of linear multistep methods to singular initial value problems

Authors:
Frank R. de Hoog and Weiss Richard

Journal:
Math. Comp. **31** (1977), 676-690

MSC:
Primary 65L05

DOI:
https://doi.org/10.1090/S0025-5718-77-99844-1

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Abstract: A theory for linear multistep schemes applied to the initial value problem for a nonlinear first order system of differential equations with a singularity of the first kind is developed. Predictor-corrector schemes are also considered.

The specific examples given are systems derived from partial differential equations in the presence of symmetry.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-77-99844-1

Keywords:
Initial value problem,
singularity of the first kind,
linear multistep method,
stability,
convergence,
predictor-corrector scheme

Article copyright:
© Copyright 1977
American Mathematical Society