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

作     者：Fa-yongZhang 

作者机构：DepartmentofMathematicsHeilongjiangUniversityHarbin150080China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2004年第22卷第4期

页      面：593-604页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：国家自然科学基金 

主　　题：Nonlinear Schrodinger equation Finite difference method Global attractor 

摘      要：The three-dimensional nonlinear SchrSdinger equation with weakly damped that possesses a global attractor are considered. The dynamical properties of the discrete dynamical system which generate by a class of finite difference scheme are analysed. The existence of global attractor is proved for the discrete dynamical system.