Volume 22, Issue 5
On the Convergence of Waveform Relaxation Methods for Linear Initial Value Problems

Jian-yu Pan & Zhong-zhi Bai

DOI:

J. Comp. Math., 22 (2004), pp. 681-698

Published online: 2004-10

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  • Abstract

We study a class of blockwise waveform relaxation methods, and investigate its con- vergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods re- sulted from different matrix splittings, and those between the pointwise and blockwise waveform relaxation methods are discussed in depth.

  • Keywords

Blockwise waveform relaxation method Asymptotic and monotone convergence Comparison results

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@Article{JCM-22-681, author = {}, title = {On the Convergence of Waveform Relaxation Methods for Linear Initial Value Problems}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {5}, pages = {681--698}, abstract = { We study a class of blockwise waveform relaxation methods, and investigate its con- vergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods re- sulted from different matrix splittings, and those between the pointwise and blockwise waveform relaxation methods are discussed in depth. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10296.html} }
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