Superconvergence of Some Projection Approximations for Weakly Singular Integral Equations Using General Grids

DOI10.1137/070685464zbMath1195.65220OpenAlexW2001347268MaRDI QIDQ5305948

Mario Ahues, Alain Largillier, Andrey A. Amosov

Publication date: 24 March 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070685464

zbMATH Keywords

Galerkin methoderror estimatesnumerical examplessuperconvergenceprojection methodsweakly singular integral equationKantorovich methodheat transfer equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear integral equations (45A05)

Related Items (13)

Error estimates of projection type methods for solving weakly singular integral equations ⋮ Iterated Kantorovich vs Kulkarni Method for Fredholm Integral Equations ⋮ Two projection methods for skew-Hermitian operator equations ⋮ Approximate Solution of the Nonlinear Fredholm Integral Equation of the Second Kind ⋮ Three methods to solve two classes of integral equations of the second kind ⋮ Linear boundary-value problems for weakly singular integral equations ⋮ Approximation of weakly singular integral equations by sinc projection methods ⋮ Improving the convergence order of the regularization method for Fredholm integral equations of the second kind ⋮ Regularization and Fourier Series for Fredholm Integral Equations of the Second Kind with a Weakly Singular Kernel ⋮ Projection methods based on grids for weakly singular integral equations ⋮ Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in \(L^2\) ⋮ Unnamed Item ⋮ Unnamed Item

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