Waveform relaxation of nonlinear second-order differential equations

Yao Lin Jiang; Richard M.M. Chen; Omar Wing

doi:10.1109/81.964425

Waveform relaxation of nonlinear second-order differential equations

Yao Lin Jiang
, Richard M.M. Chen
, Omar Wing

数学与统计学院

City University of Hong Kong
Chinese University of Hong Kong

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

In this paper, we give a simple theorem on the waveform relaxation (WR) solution for a system of nonlinear second-order differential equations. It is shown that if the norm of certain matrices derived from the Jacobians of the system equations is less than one, then the WR solution converges. It is also the first time that a convergence condition is obtained for this general kind of nonlinear systems in the WR literature. Numerical experiments are provided to confirm the theoretical analysis.

源语言	英语
页（从-至）	1344-1347
页数	4
期刊	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
卷	48
期	11
DOI	https://doi.org/10.1109/81.964425
出版状态	已出版 - 11月 2001

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KW - Parallel processing

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Waveform relaxation of nonlinear second-order differential equations

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