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

Jianyu Pan & Zhongzhi 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 convergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods resulted 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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COPYRIGHT: © Global Science Press

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@Article{JCM-22-681, author = {Pan , Jianyu and Bai , Zhongzhi}, 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 convergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods resulted 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 AU - Pan , Jianyu AU - Bai , Zhongzhi 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, Asymptotic and monotone convergence, Comparison results. AB -

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

Jianyu Pan & Zhongzhi 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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