On the Convergence of Waveform Relaxation Methods for Linear Initial Value Problems

On the Convergence of Waveform Relaxation Methods for Linear Initial Value Problems

Year:    2004

Author:    Jianyu Pan, Zhongzhi Bai

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-10296

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 681–698

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Blockwise waveform relaxation method Asymptotic and monotone convergence Comparison results.

Author Details

Jianyu Pan

Zhongzhi Bai