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

Jian-yu Pan & Zhong-zhi Bai

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.

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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} }
TY - JOUR T1 - On the Convergence of Waveform Relaxation Methods for Linear Initial Value Problems JO - Journal of Computational Mathematics VL - 5 SP - 681 EP - 698 PY - 2004 DA - 2004/10 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10296.html KW - Blockwise waveform relaxation method KW - Asymptotic and monotone convergence KW - Comparison results AB - 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.
Jian-yu Pan & Zhong-zhi Bai. (1970). On the Convergence of Waveform Relaxation Methods for Linear Initial Value Problems. Journal of Computational Mathematics. 22 (5). 681-698. doi:
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