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Title
Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
AuthorAuzinger, Winfried In der Gemeinsamen Normdatei der DNB nachschlagen ; Hofstätter, Harald ; Ketcheson, David ; Koch, Othmar In der Gemeinsamen Normdatei der DNB nachschlagen
Published in
BIT Numerical Mathematics, 2016, Vol. Article not assigned to an, page 1-20
PublishedSpringer Netherlands, 2016
Edition
Published version
LanguageEnglish
Document typeJournal Article
Keywords (EN)Evolution equations / Splitting methods / Free Lie algebra / Order conditions / Local error / Embedded methods
ISSN1572-9125
URNurn:nbn:at:at-ubtuw:3-1971 Persistent Identifier (URN)
DOI10.1007/s10543-016-0626-9 
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 The work is publicly available
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Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes [0.52 mb]
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Abstract (English)

We present a number of new contributions to the topic of constructing efficient higher-order splitting methods for the numerical integration of evolution equations. Particular schemes are constructed via setup and solution of polynomial systems for the splitting coefficients. To this end we use and modify a recent approach for generating these systems for a large class of splittings. In particular, various types of pairs of schemes intended for use in adaptive integrators are constructed.

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CC-BY-License (4.0)Creative Commons Attribution 4.0 International License