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dc.contributor.authorAuzinger, Winfried
dc.contributor.authorHofstätter, Harald
dc.contributor.authorKetcheson, David I.
dc.contributor.authorKoch, Othmar
dc.date.accessioned2016-08-01T10:49:31Z
dc.date.available2016-08-01T10:49:31Z
dc.date.issued2016-07-28
dc.identifier.citationPractical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes 2016 BIT Numerical Mathematics
dc.identifier.issn0006-3835
dc.identifier.issn1572-9125
dc.identifier.doi10.1007/s10543-016-0626-9
dc.identifier.urihttp://hdl.handle.net/10754/617789
dc.description.abstractWe 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.
dc.description.sponsorshipOpen access funding provided by Technische Universität Wien. This work was supported by the Austrian Science Fund (FWF) under Grant P24157-N13, and by the Vienna Science and Technology Fund (WWTF) under Grant MA-14-002. The computational results presented have been achieved in part using the Vienna Scientific Cluster (VSC).
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s10543-016-0626-9
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
dc.subjectEvolution equations
dc.subjectSplitting methods
dc.subjectFree Lie algebra
dc.subjectOrder conditions
dc.subjectLocal error
dc.subjectEmbedded methods
dc.titlePractical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalBIT Numerical Mathematics
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionInstitut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstrasse 8-10/E101, 1040 Wien, Austria
dc.contributor.institutionFakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.arxivid1604.01179
kaust.personKetcheson, David I.
refterms.dateFOA2018-06-13T13:07:37Z
dc.date.published-online2016-07-28
dc.date.published-print2017-03


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