MATHEMATICAL SOFTWARE FOR STURM-LIOUVILLE PROBLEMS

被引:103
作者
PRUESS, S [1 ]
FULTON, CT [1 ]
机构
[1] FLORIDA INST TECHNOL,DEPT APPL MATH,MELBOURNE,FL 32901
来源
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1993年 / 19卷 / 03期
关键词
ALGORITHMS; PERFORMANCE; APPROXIMATING THE COEFFICIENTS; EIGENFUNCTIONS; SHOOTING METHODS; SPECTRAL CLASSIFICATION; SPECTRAL DENSITY FUNCTIONS; STURM-LIOUVILLE EIGENVALUES;
D O I
10.1145/155743.155791
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Software is described for the Sturm-Liouville eigenproblem. Eigenvalues, eigenfunctions, and spectral density functions can be estimated with global error control. The method of approximating the coefficients forms the mathematical basis. The underlying algorithms are briefly described, and several examples are presented.
引用
收藏
页码:360 / 376
页数:17
相关论文
共 21 条
[1]  
Bailey P. B., 1978, ACM Transactions on Mathematical Software, V4, P193, DOI 10.1145/355791.355792
[2]   A FORTRAN SOFTWARE PACKAGE FOR STURM-LIOUVILLE PROBLEMS [J].
BAILEY, PB ;
GARBOW, BS ;
KAPER, HG ;
ZETTL, A .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1991, 17 (04) :500-501
[3]  
Birkhoff G, 1969, ORDINARY DIFFERENTIA
[5]  
FULTON C, 1989, MATH SOFTWARE STURML
[6]  
FULTON C, 1989, P FOCUSED RES PROGRA, P77
[7]  
FULTON C, IN PRESS J MATH ANAL
[8]  
FULTON C, UNPUB AUTOMATIC CLAS
[9]  
FULTON CT, 1980, P ROY SOC EDINB A, V87, P1
[10]   2-POINT BOUNDARY-VALUE PROBLEMS WITH EIGENVALUE PARAMETER CONTAINED IN BOUNDARY-CONDITIONS [J].
FULTON, CT .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1977, 77 :293-308