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

Dietmar Oelz; Saber Trabelsi

doi:10.3846/13926292.2014.910279

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

Dietmar Oelz, Saber Trabelsi

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English (US)
Pages (from-to)	257-274
Number of pages	18
Journal	Mathematical Modelling and Analysis
Volume	19
Issue number	2
DOIs	https://doi.org/10.3846/13926292.2014.910279
State	Published - May 1 2014

ASJC Scopus subject areas

General Mathematics

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abstract = "This paper is devoted to the analysis of a relaxation-type numerical scheme for a nonlinear Schr{\"o}dinger 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. {\textcopyright} 2014 {\textcopyright} Vilnius Gediminas Technical University, 2014.",

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Y1 - 2014/5/1

N2 - 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.

AB - 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.

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UR - http://journals.vgtu.lt/index.php/MMA/article/view/3287

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DO - 10.3846/13926292.2014.910279

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JO - Mathematical Modelling and Analysis

JF - Mathematical Modelling and Analysis

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ER -

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

Abstract

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