The computation of negative eigenvalues of singular Sturm-Liouville problems

Authors
Boumenir, A Chanane, B
Citation
A. Boumenir et B. Chanane, The computation of negative eigenvalues of singular Sturm-Liouville problems, IMA J NUM A, 21(2), 2001, pp. 489-501
Citations number
14
Categorie Soggetti
Mathematics
Journal title
IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN journal
02724979 → ACNP
Volume
21
Issue
2
Year of publication
2001
Pages
489 - 501
Database
ISI
SICI code
0272-4979(200104)21:2<489:TCONEO>2.0.ZU;2-L
Abstract
In this work we shall develop a new interpolation method for the computatio n of eigenvalues of singular Sturm-Liouville problems. Basic properties of the Jest solutions are used to determine the growth of the boundary functio n and an appropriate interpolation basis. This leads to a good approximatio n of the negative eigenvalues.