A second-order time-discretization scheme for a system of nonlinear schrödinger equations

Takiko Sasaki

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study a linear semidiscrete-in-time finite difference method for the system of nonlinear Schrödinger equations that is a model of the interaction of non-relativistic particles with different masses. The main aim is to show that the scheme is second-order convergent.

Original languageEnglish
Pages (from-to)15-20
Number of pages6
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume90
Issue number1
DOIs
Publication statusPublished - 2014 Jan
Externally publishedYes

Fingerprint

System of Nonlinear Equations
Discretization Scheme
Time Discretization
Difference Method
Finite Difference
Interaction
Model

Keywords

  • Error analysis
  • Finite difference method
  • Nonlinear schrödinger equation
  • Time-discretization

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A second-order time-discretization scheme for a system of nonlinear schrödinger equations. / Sasaki, Takiko.

In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 90, No. 1, 01.2014, p. 15-20.

Research output: Contribution to journalArticle

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