Numerical solution of the Cauchy problem for the stationary Schrodinger equation using Faddeev's Green function

被引：8
作者：
Ikehata, M [1 ]
Siltanen, S
机构：
[1] Gunma Univ, Fac Engn, Dept Math, Kiryu, Gumma 3768515, Japan
[2] Instrumentat Corp, Imaging Div, FIN-04301 Tuusula, Finland
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2004年 / 64卷 / 06期
关键词：
Cauchy problem; stationary Schrodinger equation; exponentially growing solution; Faddeev's Green function; electrocardiography;
D O I：
10.1137/S0036139903424916
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Numerical solution of the Cauchy problem for the stationary Schrodinger equation in a bounded two-dimensional domain is discussed. The solution algorithm is based on the properties of Faddeev's Green function. Numerical examples with computer-simulated data are presented, including an application to the inverse potential problem of electrocardiography.
引用
收藏
页码：1907 / 1932
页数：26
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