Order Results of General Linear Methods for Multiply Stiff Singular Perturbation Problems

Order Results of General Linear Methods for Multiply Stiff Singular Perturbation Problems

Year:    2002

Author:    Si-Qing Gan, Geng Sun

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 525–532

Abstract

In this paper we analyze the error behavior of general linear methods applied to some classes of one-parameter multiply stiff singularly perturbed problems. We obtain the global error estimate of algebraically and diagonally stable general linear methods. The main result of this paper can be viewed as an extension of that obtained by Xiao [13] for the case of Runge-Kutta methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8937

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 525–532

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Singular perturbation problem Stiffness General linear method Global error estimate.

Author Details

Si-Qing Gan

Geng Sun