High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method
High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method
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DOI：
10.4208/nmtma.2011.m1036
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发表时间：
2011
影响因子：
1.3
通讯作者：
Hao Wu
中科院分区：
文献类型：
--
作者：
Hao Wu
对浸没界面法进行了改进，使之适用于计算具有不连续位势的薛定谔方程。通过将解的跳跃条件建立在界面附近的有限差分近似中，该方法可以在均匀笛卡尔网格上给出数值解的至少二阶收敛速度。通过几个数值算例验证了该算法的准确性。AMS科目分类：35R05、65M06、81Q05
The immersed interface method is modified to compute Schrodinger equa- tion with discontinuous potential. By building the jump conditions of the solution into the finite difference approximation near the interface, this method can give at least sec- ond order convergence rate for the numerical solution on uniform cartesian grids. The accuracy of this algorithm is tested via several numerical examples. AMS subject classifications: 35R05, 65M06, 81Q05