An analysis of convergence for nonstationary two-stage multisplitting waveform relaxation methods

Authors: Zhou, Sheng; Huang, Ting-Zhu

Source: International Journal of Computer Mathematics, Volume 84, Number 11, November 2007 , pp. 1701-1713(13)

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Abstract:

In this paper, we consider a nonstationary multisplitting two-stage strategy for waveform relaxation iterations, solving the initial value problem of ordinary differential equations. Convergence properties will be given when the coefficient matrix is an M-matrix or a Hermitian positive definite matrix. Finally numerical experiments are presented.

Keywords: Nonstationary; Relaxed stationary; Waveform relaxation; M-splitting; Hermitian P-regular

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160701577192

Affiliations: 1: School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P. R. China

Publication date: 2007-11-01

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