Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method

DOI10.1016/j.amc.2006.05.187zbMath1114.65095OpenAlexW2162186521MaRDI QIDQ879580

Bilal Chanane

Publication date: 14 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.187

zbMATH Keywords

numerical examplesSturm-Liouville problemseigenvalue problemssampling theory

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (10)

A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems ⋮ Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method ⋮ Error analysis for regularized multidimensional sampling expansions ⋮ Eigenvalues of a class of singular boundary value problems of impulsive differential equations in Banach spaces ⋮ Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the \textit{regularized sampling method} ⋮ Computing high-index eigenvalues of singular Sturm-Liouville problems ⋮ Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis ⋮ Computing eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions using Hermite approximation ⋮ Accurate solutions of fourth order Sturm-Liouville problems ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods

Cites Work

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• Computing eigenvalues of Sturm-Liouville systems of Bessel type
• Eigenvalue bounds for the singular Sturm Liouville problem with a complex potential
• Eigenvalues of s-l systems using sampling theory
• Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method

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