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2007-01-01Zeitschriftenartikel DOI: 10.18452/9474
Linear and Quasi-Linear Iterative Splitting Methods
dc.contributor.authorGeiser, Jürgen
dc.date.accessioned2017-06-17T01:12:28Z
dc.date.available2017-06-17T01:12:28Z
dc.date.created2009-10-04
dc.date.issued2007-01-01none
dc.identifier.issn1312-7594
dc.identifier.urihttp://edoc.hu-berlin.de/18452/10126
dc.description.abstractIn this paper we consider time-decomposition methods and present interesting model problems as benchmark problems in order to study the numerical analysis of the proposed methods. For the time-decomposition methods we discuss the iterative operator-splitting methods with re- spect to the stability and consistency. The main idea for deriving the error estimates is the Taylor expansion in time of the linearized opera- tors. The stability analysis is based on the A-stability of ordinary differ- ential equations, and the importance of including weighted parameters for relaxing the iterative operator-splitting methods can be seen. The exactness and the effciency of the methods are investigated through so- lutions of nonlinear model problems of parabolic differential equations, for example systems of convection-reaction-discussion equations. Finally we discuss the future works and the usefulness of this study in real-life applications. Mathematics Subjecteng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II
dc.relation.ispartofseriesInternational Mathematical Forum, 2, 49, 2007, pp 2391-2416, http://www.m-hikari.com/imf.html
dc.subjectTime-decomposition methodseng
dc.subjectOperator-Splitting Methodseng
dc.subjectConvection-Diffusion-Reaction Equationseng
dc.subjectStability and Consistency Analysiseng
dc.subjectParabolic Differential Equationseng
dc.subjectLinearization Problemseng
dc.subject.ddc510 Mathematik
dc.subject.ddc530 Physik
dc.titleLinear and Quasi-Linear Iterative Splitting Methods
dc.typearticle
dc.subtitleTheory and Applications
dc.identifier.urnurn:nbn:de:kobv:11-100100602
dc.identifier.doihttp://dx.doi.org/10.18452/9474
local.edoc.container-titleInternational Mathematical Forum
local.edoc.container-issn1312-7594
local.edoc.container-textIMF is publishing refereed, high quality original research papers in all areas of pure and applied mathematics as well as refereed, high quality survey papers, expository papers; research announcements describing new results; short notes on unsolved problems, etc.
local.edoc.type-nameZeitschriftenartikel
local.edoc.institutionMathematisch-Naturwissenschaftliche Fakultät II
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
local.edoc.container-urlhttp://www.m-hikari.com/imf.html
local.edoc.container-volume2
local.edoc.container-issue49
local.edoc.container-year2007
local.edoc.container-firstpage2391
local.edoc.container-lastpage2416
dc.description.versionPeer Reviewed

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