Convergence analysis of two-stage waveform relaxation method for the initial value problems | |
Wang, J![]() ![]() | |
刊名 | APPLIED MATHEMATICS AND COMPUTATION
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2006-01-15 | |
卷号 | 172期号:2页码:797-808 |
关键词 | waveform relaxation method two-stage iteration convergence |
ISSN号 | 0096-3003 |
DOI | 10.1016/j.amc.2004.11.031 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000235557400013 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2710] ![]() |
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. |
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