The computation of negative eigenvalues of singular Sturm-Liouville problems

A. Boumenir; B. Chanane

doi:10.1093/imanum/21.2.489

The computation of negative eigenvalues of singular Sturm-Liouville problems

A. Boumenir^*, B. Chanane

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this work we shall develop a new interpolation method for the computation of eigenvalues of singular Sturm-Liouville problems. Basic properties of the Jost solutions are used to determine the growth of the boundary function and an appropriate interpolation basis. This leads to a good approximation of the negative eigenvalues.

Original language	English
Pages (from-to)	489-501
Number of pages	13
Journal	IMA Journal of Numerical Analysis
Volume	21
Issue number	2
DOIs	https://doi.org/10.1093/imanum/21.2.489
State	Published - Apr 2001

Keywords

Eigenvalue
Hardy spaces
Interpolation
Jost solutions
Scattering theory
Singular Sturm-Liouville problems

ASJC Scopus subject areas

General Mathematics
Computational Mathematics
Applied Mathematics

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10.1093/imanum/21.2.489

Cite this

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title = "The computation of negative eigenvalues of singular Sturm-Liouville problems",

abstract = "In this work we shall develop a new interpolation method for the computation of eigenvalues of singular Sturm-Liouville problems. Basic properties of the Jost solutions are used to determine the growth of the boundary function and an appropriate interpolation basis. This leads to a good approximation of the negative eigenvalues.",

keywords = "Eigenvalue, Hardy spaces, Interpolation, Jost solutions, Scattering theory, Singular Sturm-Liouville problems",

author = "A. Boumenir and B. Chanane",

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AB - In this work we shall develop a new interpolation method for the computation of eigenvalues of singular Sturm-Liouville problems. Basic properties of the Jost solutions are used to determine the growth of the boundary function and an appropriate interpolation basis. This leads to a good approximation of the negative eigenvalues.

KW - Eigenvalue

KW - Hardy spaces

KW - Interpolation

KW - Jost solutions

KW - Scattering theory

KW - Singular Sturm-Liouville problems

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The computation of negative eigenvalues of singular Sturm-Liouville problems

Abstract

Keywords

ASJC Scopus subject areas

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