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Titel
Setup of Order Conditions for Splitting Methods
Autor*in
Winfried Auzinger
Technische Universität Wien
Autor*in
Wolfgang Herfort
Technische Universität Wien
Autor*in
Harald Hofstätter
Technische Universität Wien
... show all
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. A parallel version of such a code is described, and its performance on a computational node with 16 threads is documented.
Objekt-Typ
Sprache
Englisch [eng]
Stichwort
Evolution equationssplitting methodsorder conditionslocal errorTaylor expansionparallel processing
Verfügbarkeitsdatum
2017-09-09
Datum der Annahme zur Veröffentlichung
2016
Seitenanfang
30
Seitenende
42
Enthalten in
Titel
Computer Algebra in Scientific Computing
18th International Workshop, CASC 2016
Herausgeber*in
Vladimir P. Gerdt
Wolfram Koepf
Werner M. Seiler
Evgenii V. Vorozhtsov
Reihe
Titel
Lecture Notes in Computer Science
Band
9890
Verlag
Springer Nature
Projektnummer
MA14-002 – Vienna Science and Technology Fund (WWTF)
Persistent identifier
https://phaidra.univie.ac.at/o:502371
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