\(L_ p\)-approximation method for the numerical solution of singular integral equations

DOI10.1016/0096-3003(95)00072-PzbMath0841.65128OpenAlexW2002403290MaRDI QIDQ1907092

Johan H. de Klerk, L. M. Venter, D. Eyre

Publication date: 22 February 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00072-p

zbMATH Keywords

singular integral equationsPetrov-Galerkin method\(L_ p\)-approximation method

Mathematics Subject Classification ID

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

Related Items (3)

Wavelet numerical solutions for weakly singular Fredholm integral equations of the second kind ⋮ Hypersingular integral equations-past, present, future ⋮ Solving strongly singular integral equations by \(L_p\) approximation methods

Uses Software

• QUADPACK

Cites Work

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• Numerical solutions for weakly singular Fredholm integral equations of the second kind
• On the uniform convergence of a collocation method for a class of singular integral equations
• The numerical solution of Volterra integral equations with nonsmooth solutions based on sinc approximation
• The sensitivity of a computational \(L_ 1\)-approximation technique for integral equations
• Automatic quadrature of functions of the form \(g(| f(x)|)\)
• Computational Methods for Integral Equations
• Solutions of integral equations via L ₁-approximations
• A Hermite-Type Collocation Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel
• Uniform Convergence of a Collocation Method for the Numerical Solution of Cauchy-Type Singular Integral Equations: A Generalization

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