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

DOI10.1145/285861.285867zbMath0920.65051OpenAlexW1981684595WikidataQ113310202 ScholiaQ113310202MaRDI QIDQ4236189

Steven A. Pruess, Charles T. Fulton

Publication date: 23 September 1999

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/285861.285867

zbMATH Keywords

eigenvalueseigenfunctionstest problemsFORTRAN codeasymptotic behavioursregular Sturm-Liouville problemsspectral density functionssoftware package SLEDGE

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic expansions of solutions to ordinary differential equations (34E05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Sturm-Liouville operators with singularities and generalized Nevanlinna functions, Titchmarsh-Weyl m -functions for second-order Sturm-Liouville problems with two singular endpoints, New characterizations of spectral density functions for singular Sturm-Liouville problems, Computing the spectral function for singular Sturm--Liouville problems, Computing spectral measures and spectral types, A Spectral Transform Method for Singular Sturm--Liouville Problems with Applications to Energy Diffusion in Plasma Physics, Computing Spectral Measures of Self-Adjoint Operators, The approximation of the transmutation kernel

Uses Software

• SLEDGE
• Netlib