ON THE CONVERGENCE OF WAVEFORM RELAXATION METHODS FOR LINEAR INITIAL VALUE PROBLEMS

• 来源期刊: 计算数学（英文版）
• 关键词: Blockwise waveform relaxation method Asymptotic and monotone convergence Comparison results.
• 年，卷（期）: 2004,（5）
• 页码范围: 681-698
• 页数: 18页
• 语种: 英文

摘要

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.