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

被引：10

作者：

Bai, Zhong-Zhi ^{[1
,2
]}

Yang, Xi ^{[1
]}

机构：

[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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期

关键词：

Differential-algebraic equations; Laplace transform; Waveform relaxation method; Convergence theory; INITIAL-VALUE PROBLEMS;

D O I：

10.1016/j.cam.2010.11.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

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.

引用

页码：2790 / 2804

页数：15

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