Setup of Order Conditions for Splitting Methods
Numerical Analysis
2016-05-03 v1
Abstract
This article is based on earlier papers where an approach based on Taylor expansion and the structure of its leading term as an element of a free Lie algebra was described for the setup of a system of order conditions for operator splitting methods. Along with a brief review of these materials and some theoretical background, we discuss the implementation of the ideas from these papers in computer algebra, in particular using Maple 18. A parallel version of such a code is described.
Cite
@article{arxiv.1605.00445,
title = {Setup of Order Conditions for Splitting Methods},
author = {Winfried Auzinger and Wolfgang Herfort and Harald Hofstätter and Othmar Koch},
journal= {arXiv preprint arXiv:1605.00445},
year = {2016}
}