薛定谔方程在非一致网格下数值模拟的界面条件
INTERFACE CONDITION FOR NUMERICAL SIMULATION OF SCHR？DINGER EQUATION WITH NON-UNIFORM GRID

本文研究了一维线性薛定谔方程在非一致网格下数值模拟的问题.在数值模拟中,非一致网格在界面处会产生虚假反射,利用局部时间步长和界面条件的方法,成功的减小了虚假反射.改进和提高了薛定谔方程数值模拟的效率和精度.
In this article,we study numerical simulation of one-dimensional linear Schr？odinger wave equation with non-uniform space mesh.The non-uniform mesh will generate the spurious reflection at the interface in numerical simulation,by using locate time stepping method and proper interface condition,we can effectively reduce the spurious reflections at the interface.The interface condition can significantly improve the efficiency and precision in numerical simulation