Approximating eigenvalues of discontinuous problems by sampling theorems

DOI10.1515/JNUM.2008.008zbMath1160.65039OpenAlexW2028205842MaRDI QIDQ3545267

Rashad M. Asharabi, Mahmoud H. Annaby

Publication date: 10 December 2008

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

Full work available at URL: https://doi.org/10.1515/jnum.2008.008

zbMATH Keywords

numerical examplestruncation and amplitude errorsBirkhoff regularitydiscontinuous eigenvalue problemssampling theory in Paley-Wiener spacessinc-based method

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) 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 (12)

A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems ⋮ Sampling the eigenvalues of a graph ⋮ Truncation, amplitude, and jitter errors on \(\mathbb R\) for sampling series derivatives ⋮ 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 ⋮ Numerical algorithms for computing eigenvalues of discontinuous Dirac system using sinc-Gaussian method ⋮ Computation of eigenvalues of discontinuous Dirac system using Hermite interpolation technique ⋮ A bivariate sampling series involving mixed partial derivatives ⋮ Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis ⋮ Generalized sinc-Gaussian sampling involving derivatives ⋮ A sinc-Gaussian solver for general second order discontinuous problems ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods

Cites Work

• Computing eigenvalues of regular Sturm-Liouville problems
• Sampling the miss-distance and transmission function
• Discontinuous boundary-value problems: expansion and sampling theorems
• On computing eigenvalues of second-order linear pencils
• On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems
• Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
• The sampling method for sturm-liouville problems with the eigenvalue parameter in the boundary condition.
• A sampling theorem for transforms with discontinuous kernels
• Eigenvalues of s-l systems using sampling theory
• A Complex Rolle's Theorem

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