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2011-09-27Buch DOI: 10.18452/2819
Splitting Method of Convection-Diffusion Methods with Disentanglement methods
dc.contributor.authorGeiser, Jürgen
dc.contributor.authorElbiomy, Mahmoud
dc.date.accessioned2017-06-15T18:24:21Z
dc.date.available2017-06-15T18:24:21Z
dc.date.created2011-09-27
dc.date.issued2011-09-27
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3471
dc.description.abstractIn this paper, we discuss higher-order operator-splitting methods done by disentanglement methods. The idea is based on computing best fitted exponents to an exponential splitting scheme with more than two operators. We introduce the underlying splitting methods and the special scheme to compute the disentanglement method. First applications are done to consider finite difference methods to the spatial operators and derive their underlying Lie algebras. Based on the Lie algebra it is simple to compute the corresponding Lie group with $\exp$ functions. Such results help to derive the disentanglement of the operator splitting method. The verification of our improved splitting methods are done with first numerical examples.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectOperator splitting methodeng
dc.subjectIterative solver methodeng
dc.subjectParabolic differential equationseng
dc.subjectDistanglement methodeng
dc.subject.ddc510 Mathematik
dc.titleSplitting Method of Convection-Diffusion Methods with Disentanglement methods
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-100193359
dc.identifier.doihttp://dx.doi.org/10.18452/2819
local.edoc.pages11
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year2010
dc.title.subtitleDisentanglement Methods
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber2010,2

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