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.