On convergence conditions of waveform relaxation methods for linear differential-algebraic equations

doi:10.1016/j.cam.2010.11.031

	On convergence conditions of waveform relaxation methods for linear differential-algebraic equations
	Bai, Zhong-Zhi1,2 ; Yang, Xi 1
	2011-02-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	235 期号:8 页码:2790-2804
摘要	For linear constant-coefficient differential-algebraic equations, we study the waveform relaxation methods without demanding the boundedness of the solutions based on infinite time interval. In particular, we derive explicit expression and obtain asymptotic convergence rate of this class of iteration schemes under weaker assumptions, which may have wider and more useful application extent. Numerical simulations demonstrate the validity of the theory. (C) 2010 Elsevier B.V. All rights reserved.
关键词	Differential-algebraic equations Laplace transform Waveform relaxation method Convergence theory
DOI	10.1016/j.cam.2010.11.031
语种	英语
资助项目	National Basic Research Program[2005CB321702] ; National Basic Research Program[2011CB309703] ; Chinese Academy of Sciences ; China Outstanding Young Scientist Foundation, PR China[10525102]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000287642200076
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12635
专题	计算数学与科学工程计算研究所
通讯作者	Bai, Zhong-Zhi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Yang, Xi. On convergence conditions of waveform relaxation methods for linear differential-algebraic equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2011,235(8):2790-2804.
APA	Bai, Zhong-Zhi,&Yang, Xi.(2011).On convergence conditions of waveform relaxation methods for linear differential-algebraic equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,235(8),2790-2804.
MLA	Bai, Zhong-Zhi,et al."On convergence conditions of waveform relaxation methods for linear differential-algebraic equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 235.8(2011):2790-2804.