Mathematical software for Sturm-Liouville problems-Reference-Cited by-同舟云学术

Mathematical software for Sturm-Liouville problems

Published:1993-09 Issue:3 Volume:19 Page:360-376
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Pruess Steven¹,Fulton Charles T.²

Affiliation:

1. Colorado School of Mines, Golden

2. Florida Institute of Technology, Melbourne

Abstract

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/155743.155791

Reference21 articles.

1. Automatic Solution of the Sturm-Liouville Problem

2. BArnEY P. GARBOW B. I~PER H. ANn Z~rL A. Algorithm 700: A FORTRAN software package for Sturm-Liouville problems. ACM Trans. Math. Softw. 17 (1991) 500-501. 10.1145/210232.210239 BArnEY P. GARBOW B. I~PER H. ANn Z~rL A. Algorithm 700: A FORTRAN software package for Sturm-Liouville problems. ACM Trans. Math. Softw. 17 (1991) 500-501. 10.1145/210232.210239

3. BIRK~tOFF G. AND ROTA G. Ordinary differential equations. Prentice-Hall Englewood Cliffs N.J. 1969. BIRK~tOFF G. AND ROTA G. Ordinary differential equations. Prentice-Hall Englewood Cliffs N.J. 1969.

4. Asymptotic eigenvalues of Sturm-Liouville systems;J. Math. Anal. Appl.,1967

5. Two-point boundary value problems with eigenvalue parameter contained in the boundary condition. Proc. Roy. Soc. Edinburgh;FULTON C;Sect. A,1977

Cited by 107 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bernstein collocation technique for a class of Sturm-Liouville problems;Heliyon;2024-04

2. Optimal grid method for the recovery of the potential from two spectra;Computational and Applied Mathematics;2023-11-27

3. Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems;International Journal of Analysis and Applications;2023-08-09

4. The foundations of spectral computations via the Solvability Complexity Index hierarchy;Journal of the European Mathematical Society;2022-11-11

5. Reliable computation of the eigenvalues of the discrete KdV spectrum;Applied Mathematics and Computation;2022-11