2011-08-11Buch DOI: 10.18452/2780
Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method
 dc.contributor.author Geiser, Jürgen dc.contributor.author Kravvaritis, Christos dc.date.accessioned 2017-06-15T18:16:47Z dc.date.available 2017-06-15T18:16:47Z dc.date.created 2011-08-11 dc.date.issued 2011-08-11 dc.identifier.issn 0863-0976 dc.identifier.uri http://edoc.hu-berlin.de/18452/3432 dc.description.abstract In 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.iso eng dc.publisher Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik dc.subject numerical analysis eng dc.subject initial value problems eng dc.subject operator-splitting method eng dc.subject iterative solver method eng dc.subject nonlinear equations eng dc.subject.ddc 510 Mathematik dc.title Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method dc.type book dc.identifier.urn urn:nbn:de:kobv:11-100190678 dc.identifier.doi http://dx.doi.org/10.18452/2780 local.edoc.container-title Preprints aus dem Institut für Mathematik local.edoc.pages 16 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-volume 2007 local.edoc.container-issue 23 local.edoc.container-year 2007 local.edoc.container-erstkatid 2075199-0