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

Takiko Sasaki

doi:10.3792/pjaa.90.15

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

Takiko Sasaki

SCI - Mathematics

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

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 language	English
Pages (from-to)	15-20
Number of pages	6
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	90
Issue number	1
DOIs	https://doi.org/10.3792/pjaa.90.15
Publication status	Published - 2014 Jan

Keywords

Error analysis
Finite difference method
Nonlinear schrödinger equation
Time-discretization

Access to Document

10.3792/pjaa.90.15

Cite this

@article{a7754aefbeff4019a4dcdf1fe1e1e0b2,

title = "A second-order time-discretization scheme for a system of nonlinear schr{\"o}dinger equations",

abstract = "We study a linear semidiscrete-in-time finite difference method for the system of nonlinear Schr{\"o}dinger 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.",

keywords = "Error analysis, Finite difference method, Nonlinear schr{\"o}dinger equation, Time-discretization",

author = "Takiko Sasaki",

year = "2014",

month = jan,

doi = "10.3792/pjaa.90.15",

language = "English",

volume = "90",

pages = "15--20",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

publisher = "Japan Academy",

number = "1",

}

TY - JOUR

T1 - A second-order time-discretization scheme for a system of nonlinear schrödinger equations

AU - Sasaki, Takiko

PY - 2014/1

Y1 - 2014/1

N2 - 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.

AB - 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.

KW - Error analysis

KW - Finite difference method

KW - Nonlinear schrödinger equation

KW - Time-discretization

UR - http://www.scopus.com/inward/record.url?scp=84893173246&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893173246&partnerID=8YFLogxK

U2 - 10.3792/pjaa.90.15

DO - 10.3792/pjaa.90.15

M3 - Article

AN - SCOPUS:84893173246

SN - 0386-2194

VL - 90

SP - 15

EP - 20

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this