A class of single-step methods for systems of nonlinear differential equations-Reference-Cited by-同舟云学术

A class of single-step methods for systems of nonlinear differential equations

Published:1967 Issue:100 Volume:21 Page:597-610
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Cooper G. J.

Abstract

The numerical solution of a system of nonlinear differential equations of arbitrary orders is considered. General implicit single-step methods are obtained and some convergence properties studied.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1967-21-100/S0025-5718-1967-0223103-2/S0025-5718-1967-0223103-2.pdf

Reference12 articles.

1. Runge-Kutta-Verfahren Zur numerischen Integration von Differentialgleichungen 𝑛-ter Ordnung;Zurmühl, Rudolf;Z. Angew. Math. Mech.,1948

2. Single step methods for linear differential equations;Cooper, G. J.;Numer. Math.,1967

3. Coefficients for the study of Runge-Kutta integration processes;Butcher, J. C.;J. Austral. Math. Soc.,1963

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