Analysis of a Relaxation Scheme for a Nonlinear Schrödinger Equation Occurring in Plasma Physics

Handle URI:
http://hdl.handle.net/10754/563443
Title:
Analysis of a Relaxation Scheme for a Nonlinear Schrödinger Equation Occurring in Plasma Physics
Authors:
Oelz, Dietmar; Trabelsi, Saber
Abstract:
This paper is devoted to the analysis of a relaxation-type numerical scheme for a nonlinear Schrödinger equation arising in plasma physics. The scheme is shown to be preservative in the sense that it preserves mass and energy. We prove the well-posedness of the semidiscretized system and prove convergence to the solution of the time-continuous model. © 2014 © Vilnius Gediminas Technical University, 2014.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Vilnius Gediminas Technical University
Journal:
Mathematical Modelling and Analysis
Issue Date:
15-Mar-2014
DOI:
10.3846/13926292.2014.910279
Type:
Article
ISSN:
13926292
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorOelz, Dietmaren
dc.contributor.authorTrabelsi, Saberen
dc.date.accessioned2015-08-03T11:51:37Zen
dc.date.available2015-08-03T11:51:37Zen
dc.date.issued2014-03-15en
dc.identifier.issn13926292en
dc.identifier.doi10.3846/13926292.2014.910279en
dc.identifier.urihttp://hdl.handle.net/10754/563443en
dc.description.abstractThis paper is devoted to the analysis of a relaxation-type numerical scheme for a nonlinear Schrödinger equation arising in plasma physics. The scheme is shown to be preservative in the sense that it preserves mass and energy. We prove the well-posedness of the semidiscretized system and prove convergence to the solution of the time-continuous model. © 2014 © Vilnius Gediminas Technical University, 2014.en
dc.publisherVilnius Gediminas Technical Universityen
dc.subjectinitial value problemen
dc.subjectLaplace equationen
dc.subjectnonlinear Schrödinger equationen
dc.subjectrelaxation schemeen
dc.titleAnalysis of a Relaxation Scheme for a Nonlinear Schrödinger Equation Occurring in Plasma Physicsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalMathematical Modelling and Analysisen
dc.contributor.institutionDepartment of Mathematics, University of California, One Shields Ave, CA 95616 Davis, United Statesen
kaust.authorTrabelsi, Saberen
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