Convergence of linear multistep methods for two-parameter singular perturbation problems

被引：1
|
作者：
Xiao Aiguo
Li Shoufu
Fu Hongyuan
Chen Guangnan
机构：
[1] Xiangtan University,Department of Mathematics
[2] Institute of Applied Physics and Computational Mathematics,ICMSEC, Academy of Mathematics and Systems Sciences
[3] Chnese Academy of Sciences,undefined
来源：
Acta Mathematicae Applicatae Sinica | 2001年 / 17卷 / 2期
关键词：
Singular perturbation problems; linear multistep methods; convergence;
D O I：
10.1007/BF02669574
中图分类号：
学科分类号：
摘要：
Some convergence results are given forA(α)-stable linear multistep methods applied to two classes of two-parameter singular perturbation problems, which extend the existing relevant results about one-parameter problems by Lubich. Some numerical examples confirm our results.
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页码：207 / 217
页数：10
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