The computation of spectral density functions for singular Sturm-Liouville problems involving simple continuous spectra

Authors:
C. T. Fulton;S. Pruess
Affiliations:
Florida Institute of Technology, Melbourne;Colorado School of Mines, Golden
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1998

Citing 2
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Computing the spectral function for singular Sturm-Liouville problems

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Abstract

The software package SLEDGE has as one of its options the estimation of spectral density functions p(t) for a wide class of singular Strurm-Liouville problems. In this article the underlaying theory and implementation issues are discussed. Several examples exhibiting quite varied asymptotic behavior in p are presented.