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2006-01-01Buch DOI: 10.18452/2739
Iterative Operator-Splitting Methods with higher order Time-Integration Methods and Applications for Parabolic Partial Differential Equations
dc.contributor.authorGeiser, Jürgen
dc.contributor.authorGedicke, Joscha
dc.date.accessioned2017-06-15T18:08:45Z
dc.date.available2017-06-15T18:08:45Z
dc.date.created2006-09-07
dc.date.issued2006-01-01
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3391
dc.description.abstractIn this paper we design higher order time integrators for systems of stiff ordinary differential equations. We could combine implicit Runge-Kutta- and BDF-methods with iterative operator-splitting methods to obtain higher order methods. The motivation of decoupling each complicate operator in simpler operators with an adapted time-scale allow us to solve more efficiently our problems. We compare our new methods with the higher order Fractional-Stepping Runge-Kutta methods, developed for stiff ordinary differential equations. The benefit will be the individual handling of each operators with adapted standard higher order time-integrators. The methods are applied to convection-diffusion-reaction equations and we could obtain higher order results. Finally we discuss the iterative operator-splitting methods for the applications to multi-physical problems.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectRunge-Kutta methodseng
dc.subjectOperator Splitting methodeng
dc.subjectIterative Solver methodseng
dc.subjectFractional-Stepping Runge-Kutta methodseng
dc.subjectConvection-Diffusion-Reaction-equationeng
dc.subject.ddc510 Mathematik
dc.titleIterative Operator-Splitting Methods with higher order Time-Integration Methods and Applications for Parabolic Partial Differential Equations
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10067984
dc.identifier.doihttp://dx.doi.org/10.18452/2739
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages16
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2006
local.edoc.container-issue10
local.edoc.container-year2006
local.edoc.container-erstkatid2075199-0

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