Extrapolation method for Fredholm integral equations with non-smooth kernels

DOI10.1007/BF01399011zbMath0424.65066MaRDI QIDQ1135107

Qun Lin, Juanquan Liu

Publication date: 1980

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186302

zbMATH Keywords

Fredholm integral equationsapproximate solutionsextrapolation methoditerated collocation solutionNyström solutionsuperconvergent approximation

Mathematics Subject Classification ID

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

Related Items (7)

Asymptotic Expansions for Approximate Eigenvalues of Integral Operators with Nonsmooth Kernels ⋮ Extrapolation of a discrete collocation-type method of Hammerstein equations ⋮ Hybrid collocation methods for Fredholm integral equations with weakly singular kernels ⋮ Asymptotic expansions for approximate solutions of Fredholm integral equations with Green's function type kernels ⋮ Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels ⋮ Richardson extrapolation based on superconvergent Nyström and degenerate kernel methods ⋮ Extrapolation Using a Modified Projection Method

Cites Work

• Superconvergence of piecewise polynomial Galerkin approximations, for Fredholm integral equations of the second kind
• Superconvergence for Galerkin methods for the two point boundary problem via local projections
• Optimal Few-Point Discretizations of Linear Source Problems
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