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Setup of Order Conditions for Splitting Methods

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.

preprint2016arXivOpen access
Winfried AuzingerWolfgang HerfortHarald HofstätterOthmar Koch
math.NA
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Winfried AuzingerWolfgang HerfortHarald HofstätterOthmar Koch

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