On convergence conditions of waveform relaxation methods for linear differential-algebraic equations
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi1,2 ; Yang, Xi1
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2011-02-15 |
| 卷号 | 235期号:8页码:2790-2804 |
| 关键词 | Differential-algebraic equations Laplace transform Waveform relaxation method Convergence theory |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2010.11.031 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000287642200076 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12634]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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