2011-09-27Buch DOI: 10.18452/2820
Iterative operator-splitting method
 dc.contributor.author Geiser, Jürgen dc.date.accessioned 2017-06-15T18:24:33Z dc.date.available 2017-06-15T18:24:33Z 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/18452/3472 dc.description.abstract In this paper we describe an iterative operator-splitting method for bounded operators. The contribution is a novel iterative method, that can be applied as a splitting method for ordinary and partial differential equations. A simple relation between the number of iterative steps and the order of the splitting scheme, can made it as an alternative method to consider it as a time decomposition method. The iterative splitting scheme is interested on physical problem, while the original problem is not divided as in standard splitting schemes. We present error bounds for the iterative splitting methods in the presence of bounded operators. We discuss efficient algorithms to compute the integral formulation of the splitting scheme. In experiments, we consider the benefits of the novel splitting method with respect to their number of iterations and time steps. Ordinary differential equations and convection-diffusion-reaction equations are presented in the numerical results. 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 Error analysis eng dc.subject convection-diffusion equation eng dc.subject.ddc 510 Mathematik dc.title Iterative operator-splitting method dc.type book dc.identifier.urn urn:nbn:de:kobv:11-100193364 dc.identifier.doi http://dx.doi.org/10.18452/2820 local.edoc.pages 24 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-year 2010 dc.title.subtitle Error analysis and examples dc.identifier.zdb 2075199-0 bua.series.name Preprints aus dem Institut für Mathematik bua.series.issuenumber 2010,3