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2011-08-11Buch DOI: 10.18452/2780
Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method
dc.contributor.authorGeiser, Jürgen
dc.contributor.authorKravvaritis, Christos
dc.date.accessioned2017-06-15T18:16:47Z
dc.date.available2017-06-15T18:16:47Z
dc.date.created2011-08-11
dc.date.issued2011-08-11
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3432
dc.description.abstractIn this article a new approach is proposed for constructing a domain decomposition method based on the iterative operator-splitting method for nonlinear differential equations. The convergence properties of such a method are studied. The main feature of the proposed idea are the linearization of the nonlinear equations and the application of iterative splitting methods. We present iterative operator-splitting method with embedded Newton methods to solve the nonlinearity. We confirm with numerical applications the effectiveness of the proposed iterative operator-splitting method in comparison with the classical Newton methods. We provide improved results and convergence rates.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectnumerical analysiseng
dc.subjectinitial value problemseng
dc.subjectoperator-splitting methodeng
dc.subjectiterative solver methodeng
dc.subjectnonlinear equationseng
dc.subject.ddc510 Mathematik
dc.titleModified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-100190678
dc.identifier.doihttp://dx.doi.org/10.18452/2780
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-volume2007
local.edoc.container-issue23
local.edoc.container-year2007
local.edoc.container-erstkatid2075199-0

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