The application of linear multistep methods to singular initial value problems

de Hoog, Frank R.; Richard, Weiss

doi:10.1090/S0025-5718-77-99844-1

The application of linear multistep methods to singular initial value problems
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by Frank R. de Hoog and Weiss Richard PDF

Math. Comp. 31 (1977), 676-690 Request permission

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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