Sampling eigenvalues by Hermite revisited

DOI10.1080/00207160.2019.1618847zbMath1479.34143OpenAlexW2945841027MaRDI QIDQ5030612

H. Al Attas, Amin Boumenir

Publication date: 17 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1618847

zbMATH Keywords

Hermite interpolationShannon sampling theoremcomputational spectral theoryeigenvalues of Sturm Liouvillematrix Sturm Liouville

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)

Cites Work

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• Computing eigenvalues of Sturm-Liouville problems by Hermite interpolations
• Higher approximation of eigenvalues by the sampling method
• Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
• A Modification of Hermite Sampling with a Gaussian Multiplier
• 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
• Bounds for Truncation Error of the Sampling Expansion
• On the General Hermite Cardinal Interpolation

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