The inverse problem for a discrete elliptic equation with prescribed symmetry conditions

被引：0

作者：

Serdyukova, S. I. ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Dubna 141980, Moscow Oblast, Russia

来源：

DOKLADY MATHEMATICS | 2006年 / 73卷 / 01期

关键词：

Inverse Problem; Elliptic Equation; Symmetry Condition; Prescribe Symmetry; Discrete Elliptic Equation;

D O I：

10.1134/S1064562406010078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The solution of universe problem for a discrete elliptic equation with prescribed symmetry conditions, is described. A numerical-analytical algorithm to solve the universe problem for the two dimensional discrete elliptic equation is considered. The direct problem is solved in the rectangle l≤i≤M≤, 1≤ j≤N under the zero boundary conditions. The numerical-analytical algorithm for reconstructing persymmetric five-diagonal matrices can be used to reconstruct the potential of the two-dimensional discrete Schrödinger equation.

引用

页码：27 / 31

页数：5