A Structure-Preserving Discretization of Nonlinear Schrödinger Equation

A Structure-Preserving Discretization of Nonlinear Schrödinger Equation

Year:    1999

Author:    Ming-You Huang, Ru Qu, Cheng-Hun Gong

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 553–560

Abstract

This paper studies the geometric structure of nonlinear Schrödinger equation and from the viewpoint of preserving structure a kind of fully discrete schemes is presented for the numerical simulation of this important equation in quantum. It has been shown by theoretical anaysis and numerical experiments that such discrete schemes are quite satisfactory in keeping the desirable conservation properties and for simulating the long-time behaviour.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9125

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 553–560

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Schrodinger equation Hamiltonian system Discrete schemes Structure preserving algorithm.

Author Details

Ming-You Huang

Ru Qu

Cheng-Hun Gong