Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\)

DOI10.1016/S0377-0427(99)00302-7zbMath0947.65091OpenAlexW4205452203MaRDI QIDQ1971852

Hasan Taşeli

Publication date: 23 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00302-7

zbMATH Keywords

numerical resultseigenvalue problemupper and lower boundssingular Sturm-Liouville problems

Mathematics Subject Classification ID

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 (6)

A Rayleigh-Ritz method for numerical solutions of linear Fredholm integral equations of the second kind ⋮ Accurate numerical bounds for the spectral points of singular Sturm--Liouville problems over \(0 < x <\infty\). ⋮ The scaled Hermite-Weber basis in the spectral and pseudospectral pictures ⋮ Variational iteration method for Sturm-Liouville differential equations ⋮ Determination of partially known Sturm-Liouville potentials ⋮ Inverse Sturm–Liouville problems with pseudospectral methods

Cites Work

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• Bounds for eigenvalues of second-order elliptic differential operators
• Optimale Eigenwerteinschließungen
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
• Exact solutions for vibrational levels of the Morse potential

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