THE COMPUTATION OF SPECTRAL DENSITY-FUNCTIONS FOR SINGULAR STURM-LIOUVILLE PROBLEMS INVOLVING SIMPLE CONTINUOUS SPECTRA

Authors
FULTON CT PRUESS S
Citation
Ct. Fulton et S. Pruess, THE COMPUTATION OF SPECTRAL DENSITY-FUNCTIONS FOR SINGULAR STURM-LIOUVILLE PROBLEMS INVOLVING SIMPLE CONTINUOUS SPECTRA, ACM transactions on mathematical software, 24(1), 1998, pp. 107-129
Citations number
24
Categorie Soggetti
Computer Science Software Graphycs Programming",Mathematics,"Computer Science Software Graphycs Programming",Mathematics
Journal title
ACM transactions on mathematical software → ACNP
ISSN journal
00983500
Volume
24
Issue
1
Year of publication
1998
Pages
107 - 129
Database
ISI
SICI code
0098-3500(1998)24:1<107:TCOSDF>2.0.ZU;2-3
Abstract
The software package SLEDGE has as one of its options the estimation o f spectral density functions rho(t) for a wide class of singular Sturm -Liouville problems. In this article the underlying theory and impleme ntation issues are discussed. Several examples exhibiting quite varied asymptotic behavior in rho are presented.