High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

作     者：Hao Wu 

作者机构：Department of Mathematical SciencesTsinghua UniversityBeijing10084China 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2011年第4卷第4期

页      面：576-597页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Conseil regional Midi Pyrénées(http://www.midipyrenees.fr/)entitled“Méthodes Numériques Multi-échelles pour le transport quantique”and by the ANR Project(No.BLAN07-2212988 entitled“QUATRAIN”) support from NSFC Project 11071139 and NSFC Project 10971115 

主　　题：Schrödinger equation discontinuous potential immersed interface method finite difference method 

摘      要：The immersed interface method is modified to compute Schrödinger equation with discontinuous *** building the jump conditions of the solution into the finite difference approximation near the interface,this method can give at least second order convergence rate for the numerical solution on uniform cartesian *** accuracy of this algorithm is tested via several numerical examples.