Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems

Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems

Year:    2002

Author:    Ai-Guo Xiao

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 3 : pp. 325–336

Abstract

The main purpose of this paper is to present some convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems whose stiffness is caused by small parameters and some other factors. A numerical example confirms our results.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8921

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 3 : pp. 325–336

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Singular perturbation problems Runge-Kutta methods Convergence Multiple-stiffness.

Author Details

Ai-Guo Xiao