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
收藏
页码：1275 / 1286
页数：12
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