Estimating spectral density functions for Sturm-Liouville problems with two singular endpoints

DOI10.1093/imanum/drt045zbMath1300.65056arXiv1303.2989OpenAlexW2115486246MaRDI QIDQ5416818

D. B. Pearson, Charles T. Fulton, Steven A. Pruess

Publication date: 15 May 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2989

zbMATH Keywords

initial value problemasymptotic expansionsspectral functionSturm-Liouville problemWhittaker functionsspectral density functionregular singular pointtrigonometric splineFrobenius power series solution

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Sturm-Liouville operators with singularities and generalized Nevanlinna functions, A Spectral Transform Method for Singular Sturm--Liouville Problems with Applications to Energy Diffusion in Plasma Physics