2011-09-27Buch DOI: 10.18452/2819
Splitting Method of Convection-Diffusion Methods with Disentanglement methods
 dc.contributor.author Geiser, Jürgen dc.contributor.author Elbiomy, Mahmoud dc.date.accessioned 2017-06-15T18:24:21Z dc.date.available 2017-06-15T18:24:21Z dc.date.created 2011-09-27 dc.date.issued 2011-09-27 dc.identifier.issn 0863-0976 dc.identifier.uri http://edoc.hu-berlin.de/18452/3471 dc.description.abstract In 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.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 Operator splitting method eng dc.subject Iterative solver method eng dc.subject Parabolic differential equations eng dc.subject Distanglement method eng dc.subject.ddc 510 Mathematik dc.title Splitting Method of Convection-Diffusion Methods with Disentanglement methods dc.type book dc.subtitle Disentanglement Methods dc.identifier.urn urn:nbn:de:kobv:11-100193359 dc.identifier.doi http://dx.doi.org/10.18452/2819 local.edoc.container-title Preprints aus dem Institut für Mathematik local.edoc.pages 11 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-volume 2010 local.edoc.container-issue 2 local.edoc.container-year 2010 local.edoc.container-erstkatid 2075199-0