A weakly demped Schrodinger equation possessing a global attractor are considered. The dynamical properties of a class of finite difference scheme axe analysed. The exsitence of global attractor is proved for the disc...A weakly demped Schrodinger equation possessing a global attractor are considered. The dynamical properties of a class of finite difference scheme axe 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.展开更多
基金The research was supported by the National Natural Science Fundation of China.
文摘A weakly demped Schrodinger equation possessing a global attractor are considered. The dynamical properties of a class of finite difference scheme axe 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.
