Setup of Order Conditions for Splitting Methods

Winfried Auzinger, Wolfgang Herfort, Harald Hofstätter, Othmar Koch

Veröffentlichungen: Beitrag in BuchBeitrag in KonferenzbandPeer Reviewed

Abstract

For operator splitting methods, an approach based on Taylor expansion and the particular structure of its leading term as an element of a free Lie algebra is used for the setup of a system of order conditions. Along with a brief review of the underlying theoretical background, we discuss the implementation of the resulting algorithm in computer algebra, in particular using Maple 18 (Maple is a trademark of MapleSoftTM.). A parallel version of such a code is described, and its performance on a computational node with 16 threads is documented.
OriginalspracheEnglisch
TitelComputer Algebra in Scientific Computing
Untertitel18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings
Redakteure*innenEvgenii V. Vorozhtsov, Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler
ErscheinungsortCham
Herausgeber (Verlag)Springer
Seiten30-42
Seitenumfang13
ISBN (elektronisch)978-3-319-45641-6
ISBN (Print)978-3-319-45640-9
DOIs
PublikationsstatusVeröffentlicht - 2016

Publikationsreihe

ReiheLecture Notes in Computer Science
Band9890

ÖFOS 2012

  • 101014 Numerische Mathematik
  • 101001 Algebra

Zitationsweisen