Corrected finite difference eigenvalues of periodic Sturm-Liouville problems

DOI10.1016/S0168-9274(98)00093-2zbMath0930.65089OpenAlexW2089174004MaRDI QIDQ1294609

D. J. Condon

Publication date: 9 February 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00093-2

zbMATH Keywords

eigenvaluefinite elementfinite difference schemecorrection techniqueperiodic Sturm-Liouville problems

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12) 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 (7)

On the estimations of the small eigenvalues of Sturm-Liouville operators with periodic and antiperiodic boundary conditions ⋮ Spectrum of periodic Sturm-Liouville problems involving additional transmission conditions ⋮ Improvement of eigenvalues of Sturm-Liouville problem with \(t\)-periodic boundary conditions ⋮ On the estimations of the small periodic eigenvalues ⋮ On the estimates of periodic eigenvalues of Sturm-Liouville operators with trigonometric polynomial potentials ⋮ Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions ⋮ Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method

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