Order results of general linear methods for multiply stiff singular perturbation problems

被引：0
|
作者：
Gan, SQ
Sun, G
机构：
[1] Tsing Hua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China
[2] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2002年 / 20卷 / 05期
关键词：
singular perturbation problem; stiffness; general linear method; global error estimate;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：525 / 532
页数：8
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