A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems

DOI10.1186/S13660-016-1098-9zbMath1343.34195OpenAlexW2444184002WikidataQ59463032 ScholiaQ59463032MaRDI QIDQ295015

Rashad M. Asharabi

Publication date: 17 June 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1098-9

zbMATH Keywords

error boundsSturm-Liouville problemconvergence ratesinc methods

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Sampling theory in information and communication theory (94A20) 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 (3)

Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method ⋮ Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods

Cites Work

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• Computing eigenvalues of Sturm-Liouville problems by Hermite interpolations
• Approximation of eigenvalues of boundary value problems
• Generalized sinc-Gaussian sampling involving derivatives
• Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method
• A sinc-Gaussian technique for computing eigenvalues of second-order linear pencils
• Computing eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions using Hermite approximation
• On computing eigenvalues of second-order linear pencils
• Approximating eigenvalues of discontinuous problems by sampling theorems
• On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems
• The sampling method for sturm-liouville problems with the eigenvalue parameter in the boundary condition.
• On two-dimensional classical and Hermite sampling
• A Modification of Hermite Sampling with a Gaussian Multiplier
• Eigenvalues of s-l systems using sampling theory

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