Computation of the spectra of some integral operators and application to the numerical solution of some linear integral equations

DOI10.1016/J.AMC.2011.08.062zbMath1250.65155OpenAlexW2036300437MaRDI QIDQ426331

Hichem Ben Aouicha

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.062

zbMATH Keywords

eigenvaluesspectrumeigenfunctionsGaussian quadraturematrix representationHilbert-Schmidt operatorscompact integral operatorintegral equations of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Eigenvalue problems for integral equations (45C05)

Related Items (1)

Projected Tikhonov regularization method for Fredholm integral equations of the first kind

Cites Work

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• Norms and exclusion theorems
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• Uncertainty Principles, Prolate Spheroidal Wave Functions, and Applications
• Approximate inverse for a one-dimensional inverse heat conduction problem
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

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