@Article{JCM-36-542,
author = {Jiang , Yaolin and Miao , Zhen},
title = {Quasi-Newton Waveform Relaxation Based on Energy Method},
journal = {Journal of Computational Mathematics},
year = {2018},
volume = {36},
number = {4},
pages = {542--562},
abstract = {<p style="text-align: justify;">A quasi-Newton waveform relaxation (WR) algorithm for semi-linear reaction-diffusion
equations is presented at first in this paper. Using the idea of energy estimate, a general
proof method for convergence of the continuous case and the discrete case of quasi-Newton
WR is given, which appears to be the superlinear rate. The semi-linear wave equation and
semi-linear coupled equations can similarly be solved by quasi-Newton WR algorithm and
be proved as convergent with the energy inequalities. Finally several parallel numerical
experiments are implemented to confirm the effectiveness of the above theories.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1702-m2016-0700},
url = {http://global-sci.org/intro/article_detail/jcm/12304.html}
}