@Article{JCM-40-4,
author = {Yao-Lin, Jiang and Zhen, Miao and Yi, Lu},
title = {Waveform Relaxation Methods for Lie-Group Equations},
journal = {Journal of Computational Mathematics},
year = {2022},
volume = {40},
number = {4},
pages = {649--666},
abstract = {<p style="text-align: justify;">In this paper, we derive and analyse waveform relaxation (WR) methods for solving differential equations evolving on a Lie-group. We present both continuous-time and discrete-time WR methods and study their convergence properties. In the discrete-time case, the novel methods are constructed by combining WR methods with Runge-Kutta-Munthe-Kaas (RK-MK) methods. The obtained methods have both advantages of WR methods and RK-MK methods, which simplify the computation by decoupling strategy and preserve the numerical solution of Lie-group equations on a manifold. Three numerical experiments are given to illustrate the feasibility of the new WR methods.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2101-m2020-0214},
url = {https://global-sci.com/article/84196/waveform-relaxation-methods-for-lie-group-equations}
}