Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations

DOI10.1007/BF02241859zbMath0687.65124OpenAlexW137448699MaRDI QIDQ1263267

Avram Sidi

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02241859

zbMATH Keywords

Fredholm integral equationsefficiencyaccuracyasymptotic expansionsRichardson extrapolationquadrature formulaeweakly singular kernelcomputational cost

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (6)

Superconvergence of Newton-Cotes rule for computing hypersingular integral on a circle ⋮ Compact numerical quadrature formulas for hypersingular integrals and integral equations ⋮ Mechanical quadrature methods and extrapolation algorithms for boundary integral equations with linear boundary conditions in elasticity ⋮ An extrapolation method for a class of boundary integral equations ⋮ Extrapolation methods in numerical integration ⋮ An algorithm for solving Fredholm integro-differential equations

Cites Work

• Unnamed Item
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• A Further Extension of the Euler-Maclaurin Summation Formula
• Numerical solution of an integral equation with a logarithmic kernel

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