LONG-TIME BEHAVIOR OF FINITE DIFFERENCE SOLUTIONS OF A NONLINEAR SCHRODINGER EQUATION WITH WEAKLY DAMPED

被引：0

作者：

Fayong Zhang Department of Mathematics Heilongjiang University Harbin China Shujuan Lu Department of Mathematics Beijing University of Aeronautics Astronautics Beijing China ^{[150080
,100083
]}

机构：

来源：

JournalofComputationalMathematics | 2001年 / 04期

关键词：

Global attractor; Nonlinear Schrodinger equation; Finite difference method; Stibility and convergence;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

A weakly demped Schrodinger equation possessing a global attractor are considered. The dynamical properties of a class of finite finite difference scheme are analysed. The exsitence of global attractor is proved for the discrete system. The stability of the difference scheme and the error estimate of the difference solution are obtained in the autonomous system case. Finally, long-time stability and convergence of the class of finite difference scheme also are analysed in the nonautonomous system case.

引用

页码：393 / 406

页数：14