Asymptotic Expansions for Approximate Eigenvalues of Integral Operators with Nonsmooth Kernels

DOI10.1080/01630563.2011.650811zbMath1247.65167OpenAlexW2009345316MaRDI QIDQ2895673

Rekha P. Kulkarni, Akshay S. Rane

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1080/01630563.2011.650811

zbMATH Keywords

numerical resultseigenvalueasymptotic expansioneigenvectorRichardson extrapolationNyström methodFredholm integral operatoriterated collocation methodGreen's function type kernelsnon smooth kernel

Mathematics Subject Classification ID

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

Related Items (3)

A Note on Asymptotic Expansions to Approximate Eigenvalues of Integral Operators with Green's Kernels using the Iterated Galerkin Method ⋮ Unnamed Item ⋮ Asymptotic expansions for approximate eigenvalues of integral operators with nonsmooth kernels of multiplicity \(m>1\)

Uses Software

• Algorithm 876

Cites Work

• Unnamed Item
• Unnamed Item
• Integral operators with Green's function type kernel
• Extrapolation method for Fredholm integral equations with non-smooth kernels
• Use of extrapolation for improving the order of convergence of eigenelement approximations
• Extrapolation of the Iterated–Collocation Method for Integral Equations of the Second Kind
• The Numerical Solution of Integral Equations of the Second Kind
• Asymptotic Error Expansions for Numerical Solutions of Integral Equations
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels

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