The application of linear multistep methods to singular initial value problems-Reference-Cited by-同舟云学术

The application of linear multistep methods to singular initial value problems

Published:1977 Issue:139 Volume:31 Page:676-690
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

de Hoog Frank R.,Richard Weiss

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1977-31-139/S0025-5718-77-99844-1/S0025-5718-77-99844-1.pdf

Reference7 articles.

1. Axisymmetric buckling of hollow spheres and hemispheres;Bauer, Louis;Comm. Pure Appl. Math.,1970

2. Difference methods for boundary value problems with a singularity of the first kind;de Hoog, Frank R.;SIAM J. Numer. Anal.,1976

3. F. R. de HOOG & R. WEISS, Collocation Methods for Singular Boundary Value Problems, MRC Technical Summary Report #1547, 1975.

4. On the nonunique equilibrium states and buckling mechanism of spherical shells;Keller, Herbert B.;J. Soc. Indust. Appl. Math.,1965

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