Convergence analysis of two-stage waveform relaxation method for the initial value problems

doi:10.1016/j.amc.2004.11.031

	Convergence analysis of two-stage waveform relaxation method for the initial value problems
	Wang, J; Bai, ZZ
	2006-01-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	172 期号:2 页码:797-808
摘要	We present a class of two-stage waveform relaxation methods for solving the initial value problems of ordinary differential equations. By making use of the Laplace transform we discuss the convergence of these methods, and derive sufficient conditions for guaranteeing their convergence when the system matrices are specifically H-matrices. Also we discuss the monotonicity of the convergence sequence. Further we compare the sequences generated by two different inner splittings of the same initial value problem. (c) 2005 Published by Elsevier Inc.
关键词	waveform relaxation method two-stage iteration convergence
DOI	10.1016/j.amc.2004.11.031
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000235557400013
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2711
专题	计算数学与科学工程计算研究所
通讯作者	Wang, J
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, J,Bai, ZZ. Convergence analysis of two-stage waveform relaxation method for the initial value problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,172(2):797-808.
APA	Wang, J,&Bai, ZZ.(2006).Convergence analysis of two-stage waveform relaxation method for the initial value problems.APPLIED MATHEMATICS AND COMPUTATION,172(2),797-808.
MLA	Wang, J,et al."Convergence analysis of two-stage waveform relaxation method for the initial value problems".APPLIED MATHEMATICS AND COMPUTATION 172.2(2006):797-808.