High order approximations of the eigenvalues of regular Sturm-Liouville problems

DOI10.1006/jmaa.1998.6049zbMath0916.34029OpenAlexW1981036632MaRDI QIDQ1268741

Bilal Chanane

Publication date: 20 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6049

zbMATH Keywords

Sturm-Liouville problemssampling theoryapproximations to eigenvalues

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Sturm-Liouville theory (34B24) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (11)

High order approximations of the eigenvalues of sturm-liouville problems with coupled self-adjoint boundary conditions ⋮ Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval ⋮ Sturm-Liouville problems with impulse effects ⋮ Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method ⋮ Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method ⋮ Computing eigenvalues of Sturm-Liouville problems by Hermite interpolations ⋮ Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the \textit{regularized sampling method} ⋮ The plaey-wiener-levinson theorem and the computation of strum-liouville eigenvalues: irregular sampling ⋮ Sturm-Liouville problems with parameter dependent potential and boundary conditions ⋮ Computing the eigenvalues of a class of nonlocal Sturm-Liouville problems

Uses Software

• SLEDGE

Cites Work

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• Computing eigenvalues of singular Sturm-Liouville problems
• Automatic solution of Sturm-Liouville problems using the Pruess method
• Numerical approximation of eigenvalues of Sturm-Liouville systems
• Asymptotics of eigenvalues for regular Sturm-Liouville problems
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
• The shooting method for solving eigenvalue problems
• Calculating the eigenvalues of ordinary differential equations
• Computing eigenvalues of regular Sturm-Liouville problems
• On the transformation theory of ordinary second-order linear symmetric differential expressions
• Automatic Solution of the Sturm-Liouville Problem
• Mathematical software for Sturm-Liouville problems
• Eigenvalues of s-l systems using sampling theory

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