Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems

CSpace

	Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems
	Xiao, A ; Huang, C ; Gan, S
	2001
发表期刊	COMPUTING
ISSN	0010-485X
卷号	66 期号:4 页码:365-375
摘要	One-leg methods and linear multistep methods are two class of important numerical methods applied to stiff initial value problems of ordinary differential equations. The purpose of this paper is to present some convergence results of A-stable one-leg and linear multistep methods for one-parameter multiply stiff singular perturbation problems and their corresponding reduced problems which are a class of stiff differential-algebraic equations.
关键词	singular perturbation problems one-leg methods linear multistep methods convergence multiple stiffness
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000169168300003
出版者	SPRINGER-VERLAG WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15965
专题	中国科学院数学与系统科学研究院
通讯作者	Xiao, A
作者单位	1.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xiao, A,Huang, C,Gan, S. Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems[J]. COMPUTING,2001,66(4):365-375.
APA	Xiao, A,Huang, C,&Gan, S.(2001).Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems.COMPUTING,66(4),365-375.
MLA	Xiao, A,et al."Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems".COMPUTING 66.4(2001):365-375.