Superlinear convergence of asynchronous multi-splitting waveform relaxation methods applied to a system of nonlinear ordinary differential equations

被引：0
|
作者：
El-Kyal, M. [1 ,2 ]
Machmoum, A. [1 ,2 ]
机构：
[1] Univ Ibn Zohr, ENSA, LIP2E, Agadir, Morocco
[2] Univ Ibn Zohr, Fac Sci, LAMA, Agadir, Morocco
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 77卷 / 2-3期
关键词：
numerical analysis; waveform relaxation methods; multi-splitting; asynchronous algorithms;
D O I：
10.1016/j.matcom.2007.08.012
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We prove the superlinear convergence of asynchronous multi-splitting waveform relaxation (MSWR) methods applied to a system of nonlinear ordinary differential equations. This study is based on the technique of nested sets. It allows to specify the class of the convergence. (c) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：179 / 188
页数：10
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