A Note on Asymptotic Expansions to Approximate Eigenvalues of Integral Operators with Green's Kernels using the Iterated Galerkin Method

DOI10.1080/01630563.2015.1040496zbMath1326.65179OpenAlexW1911360394MaRDI QIDQ3453794

Akshay S. Rane

Publication date: 30 November 2015

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

Full work available at URL: https://doi.org/10.1080/01630563.2015.1040496

zbMATH Keywords

asymptotic expansionFredholm integral operatoriterated Galerkin methodGreen's function-type kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items

Asymptotic expansions for approximate eigenvalues of integral operators with nonsmooth kernels of multiplicity \(m>1\)

Cites Work

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• Asymptotic expansions for approximate solutions of Fredholm integral equations with Green's function type kernels
• Asymptotic Expansions for Approximate Eigenvalues of Integral Operators with Nonsmooth 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
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• Asymptotic Error Expansions for Numerical Solutions of Integral Equations
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations