An Application of Approximation Theory to Numerical Solutions for

DOI10.1080/01630569108816447zbMath0757.65143OpenAlexW2081107080MaRDI QIDQ4009951

Hideaki Kaneko, Richard D. Noren

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/01630569108816447

zbMATH Keywords

numerical examplesspline approximationFredholm integral equation of the second kindregularity of the solutionsingular kernelfast rate of convergencesplines with variable knots

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05)

Related Items (5)

An application of approximation theory to the numerical solution of a Fredholm equation with a mild singularity ⋮ On Taylor-series expansion methods for the second kind integral equations ⋮ A fast Nyström-Broyden solver by Chebyshev compression ⋮ Accurate solution and approximations of the linearized BGK equation for steady Couette flow ⋮ Numerical solutions for weakly singular Fredholm integral equations of the second kind

Cites Work

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• Regularity of the solution of Hammerstein equations with weakly singular kernel
• An application of approximation theory to the numerical solution of a Fredholm equation with a mild singularity
• On weakly singular Fredholm integral equations with displacement kernels
• Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind
• On uniform approximation by splines
• The properties of solutions of weakly singular integral equations

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