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Titel
Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators
Autor*in
Winfried Auzinger
Technische Universität Wien
Autor*in
Harald Hofstätter
Technische Universität Wien
Abstract
We describe a package realized in the Julia programming language which performs symbolic manipulations applied to nonlinear evolution equations, their flows, and commutators of such objects. This tool was employed to perform contrived computations arising in the analysis of the local error of operator splitting methods. It enabled the proof of the convergence of the basic method and of the asymptotical correctness of a defect-based error estimator. The performance of our package is illustrated on several examples.
Objekt-Typ
Sprache
Englisch [eng]
Stichwort
Nonlinear evolution equationstime integrationsplitting methodssymbolic computationJulia language
Verfügbarkeitsdatum
2017-09-09
Datum der Annahme zur Veröffentlichung
2016
Seitenanfang
43
Seitenende
57
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:502372
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