Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays

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	Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays
	Gan, SQ ; Sun, G ; Zheng, W
	2002-10-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	44 期号:8-9 页码:1157-1173
摘要	This paper is concerned with the error analysis of linear multistep methods and Runge-Kutta methods applied to some classes of one-parameter stiff singularly perturbed problems with delays. We derive the global error estimates of A(alpha)-stable linear multistep methods and algebraically and diagonally stable Runge-Kutta methods with Lagrange interpolation procedure. Numerical experiments confirm our theoretical analysis. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	singular perturbation problems delays interpolation linear multistep methods Runge-Kutta methods error analysis
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000178900700015
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17855
专题	中国科学院数学与系统科学研究院
通讯作者	Gan, SQ
作者单位	1.Tsing Hua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gan, SQ,Sun, G,Zheng, W. Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2002,44(8-9):1157-1173.
APA	Gan, SQ,Sun, G,&Zheng, W.(2002).Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays.COMPUTERS & MATHEMATICS WITH APPLICATIONS,44(8-9),1157-1173.
MLA	Gan, SQ,et al."Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays".COMPUTERS & MATHEMATICS WITH APPLICATIONS 44.8-9(2002):1157-1173.