数学与系统科学研究院

计算数学所学术报告

报告人：        Liu Xiaoyan

Institute of Computational Mathematics and Scientific/Engineering Computing , CAS

报告题目 Multi-symplecticity of Runge-Kutta-Nystrom Methods for Nonlinear Schrodinger Equations

Abstract: In this talk, we propose the condition of multi-symplecticity of Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations. We show that concatenating symplecitc Nystrom methods in spatial direction and symplecitc Runge-Kutta methods in temporal direction for nonlinear Schrodinger equations leads to multi-symplecitc integrators, i.e. to numerical methods which preserve the multi-symplectic conservation law. Moreover we also show that they can preserve the global symplectic structure and discrete charge conservation law with periodic boundary conditions or zero boundary conditions.

报告时间：2004年12月15日  下午4：00-5：00

报告地点：科技综合楼三层报告厅