Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/10751
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dc.contributor.authorGeiser, Juergen-
dc.contributor.authorTanoğlu, Gamze-
dc.date.accessioned2021-01-24T18:47:47Z-
dc.date.available2021-01-24T18:47:47Z-
dc.date.issued2011-
dc.identifier.issn0096-3003-
dc.identifier.urihttps://doi.org/10.1016/j.amc.2010.11.007-
dc.identifier.urihttps://hdl.handle.net/11147/10751-
dc.description.abstractIn this paper, we contribute an operator-splitting method improved by the Zassenhaus product. Zassenhaus products are of fundamental importance for the theory of Lie groups and Lie algebras. While their applications in physics and physical chemistry are important, novel applications in CFD (computational fluid dynamics) arose based on the fact that their sparse matrices can be seen as generators of an underlying Lie algebra. We apply this to classical splitting and the novel Zassenhaus product formula. The underlying analysis for obtaining higher order operator-splitting methods based on the Zassenhaus product is presented. The benefits of dealing with sparse matrices, given by spatial discretization of the underlying partial differential equations, are due to the fact that the higher order commutators are very quickly computable (their matrix structures thin out and become nilpotent). When applying these methods to convection-diffusion-reaction equations, the benefits of balancing time and spatial scales can be used to accelerate these methods and take into account these sparse matrix structures. The verification of the improved splitting methods is done with numerical examples. Finally, we conclude with higher order operator-splitting methods. (C) 2010 Elsevier Inc. All rights reserved.en_US
dc.language.isoenen_US
dc.publisherElsevier Ltd.en_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectOperator-splitting methoden_US
dc.subjectIterative solver methoden_US
dc.subjectWeighting methodsen_US
dc.subjectZassenhaus producten_US
dc.subjectParabolic differential equationsen_US
dc.titleOperator-splitting methods via the Zassenhaus product formulaen_US
dc.typeArticleen_US
dc.institutionauthorTanoğlu, Gamze-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume217en_US
dc.identifier.issue9en_US
dc.identifier.startpage4557en_US
dc.identifier.endpage4575en_US
dc.identifier.wosWOS:000285286200024en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1016/j.amc.2010.11.007-
dc.relation.doi10.1016/j.amc.2010.11.007en_US
dc.coverage.doi10.1016/j.amc.2010.11.007en_US
dc.identifier.wosqualityQ1-
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextnone-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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