ON A METHOD FOR COMPUTING EIGENVALUES AND EIGENFUNCTIONS OF LINEAR-DIFFERENTIAL OPERATORS

被引：12

作者：

BRUSCHI, M

CAMPOS, RG

PACE, E

机构：

[1] NATL INST NUCL PHYS,SEZ ROMA,ROME,ITALY

[2] UNIV TOR VERGATA,DIPARTIMENTO FIS,ROME,ITALY

[3] NATL INST NUCL PHYS,SEZ SANITA,ROME,ITALY

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1990年 / 105卷 / 02期

关键词：

Numerical approximation and analysis;

D O I：

10.1007/BF02723074

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper a simple method is presented to compute the eigenvalues and the eigenfunctions of second-order linear differential operators, with homogeneous boundary conditions, both in a finite interval and on the semi-line. Our technique overcomes the drawbacks of the method proposed by Calogero to compute the eigenvalues of Stürm-Liouville problems in a finite interval. An estimate of the convergence for the eigenvalues is given in the finite case and numerical tests are performed, exhibiting a very fast rate of convergence for the eigenvalues both for the finite interval and the semi-line cases. An excellent convergence for the eigenfunctions is also obtained in both cases. © 1990 Società Italiana di Fisica.

引用

页码：131 / 163

页数：33