The sampling method for sturm-liouville problems with the eigenvalue parameter in the boundary condition.

DOI10.1080/01630560008816940zbMath0948.34016OpenAlexW1971175593MaRDI QIDQ4484797

Amin Boumenir

Publication date: 4 June 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816940

zbMATH Keywords

eigenvaluesregular Sturm-Liouville problemsampling method

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Trigonometric interpolation (42A15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (13)

A sinc-method computation for eigenvalues of Schrödinger operators with eigenparameter-dependent boundary conditions ⋮ A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems ⋮ Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method ⋮ Computing eigenvalues of Sturm-Liouville problems by Hermite interpolations ⋮ Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method ⋮ Approximating eigenvalues of discontinuous problems by sampling theorems ⋮ Transmutation Operators and Their Applications ⋮ Sampling theorems for Sturm-Liouville problem with moving discontinuity points ⋮ Sampling theory for Sturm-Liouville problem with boundary and transmission conditions containing an eigenparameter ⋮ Sinc-based computations of eigenvalues of Dirac systems ⋮ On the computation of the eigenvalues of Dirac systems ⋮ Approximation of eigenvalues of Sturm-Liouville problems by using Hermite interpolation ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods

Cites Work

• Theory of function spaces
• Theory of function spaces II
• Fractals and Spectra
• Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I
• Regular Elliptic Boundary Value Problems in Besov‐Triebel‐Lizorkin Spaces
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