Spectral decomposition of a finite-difference operator

被引：0

作者：

Lui, SH ^{[1
]}

Shivakumar, PN ^{[1
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2005年 / 82卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Eigenvalue; finite difference; Sommerfeld; absorbing boundary conditions;

D O I：

10.1080/00207160500113215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give asymptotic expansions of the eigenvalues of the second derivative operator with Sommerfeld boundary conditions in one dimension. In terms of these eigenvalues, eigenpairs of the associated second-order finite-difference operator can be inferred. Eigenpairs of the Laplacian operator on a disk with absorbing boundary conditions are also derived.

引用

页码：1275 / 1286

页数：12

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