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January 2014 A second-order time-discretization scheme for a system of nonlinear Schrödinger equations
Takiko Sasaki
Proc. Japan Acad. Ser. A Math. Sci. 90(1): 15-20 (January 2014). DOI: 10.3792/pjaa.90.15

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.

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Takiko Sasaki. "A second-order time-discretization scheme for a system of nonlinear Schrödinger equations." Proc. Japan Acad. Ser. A Math. Sci. 90 (1) 15 - 20, January 2014. https://doi.org/10.3792/pjaa.90.15

Information

Published: January 2014
First available in Project Euclid: 6 January 2014

zbMATH: 1295.65087
MathSciNet: MR3161540
Digital Object Identifier: 10.3792/pjaa.90.15

Subjects:
Primary: 65G99
Secondary: 35Q55 , 65M06

Keywords: error analysis , finite difference method , nonlinear Schrödinger equation , time-discretization

Rights: Copyright © 2014 The Japan Academy

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Vol.90 • No. 1 • January 2014
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