2011-09-20Buch DOI: 10.18452/2803
Iterative Operator Splitting Methods
 dc.contributor.author Geiser, Jürgen dc.date.accessioned 2017-06-15T18:21:16Z dc.date.available 2017-06-15T18:21:16Z dc.date.created 2011-09-20 dc.date.issued 2011-09-20 dc.identifier.issn 0863-0976 dc.identifier.uri http://edoc.hu-berlin.de/18452/3455 dc.description.abstract In this paper we describe a technique for closed formulation of an iterative operator-splitting method and embed the method in the classical exponential splitting methods. Since iterative operator splitting have been developed, an abstract framework to relate the method to other classical splitting methods is needed. Here an abstract framework considering the iterative splitting method as waveform-relaxation or ex- ponential splitting method is devised. This is achieved by basing the analysis on semi-groups and fixed-point schemes. Abstract results illustrate differential equations with constant and time- dependent coefficients. eng dc.language.iso eng dc.publisher Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/ dc.subject Iterative operator-splitting method eng dc.subject Pade approximations eng dc.subject.ddc 510 Mathematik dc.title Iterative Operator Splitting Methods dc.type book dc.subtitle Relation to Waveform Relaxation and Exponential Splitting Methods dc.identifier.urn urn:nbn:de:kobv:11-100192986 dc.identifier.doi http://dx.doi.org/10.18452/2803 local.edoc.container-title Preprints aus dem Institut für Mathematik local.edoc.pages 12 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-volume 2009 local.edoc.container-issue 8 local.edoc.container-year 2009 local.edoc.container-erstkatid 2075199-0