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 - <p style="text-align: justify;">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.</p>