On the convergence of waveform relaxation methods for linear initial value problems

Jian Yu Pan, Zhong Zhi Bai

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish
Pages (from-to)681-698
Number of pages18
JournalJournal of Computational Mathematics
Volume22
Issue number5
StatePublished - Sep 2004
Externally publishedYes

Keywords

  • Asymptotic and monotone convergence
  • Blockwise waveform relaxation method
  • Comparison results

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