Numerical methods for Fredholm integral equations with singular right-hand sides

DOI10.1007/s10444-009-9137-4zbMath1204.65153OpenAlexW2041129874MaRDI QIDQ1960199

Maria Grazia Russo, Luisa Fermo

Publication date: 13 October 2010

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-009-9137-4

zbMATH Keywords

stabilityconvergenceFredholm integral equationsnumerical examplesprojection methodsNyström methodsingular right-hand sidesweakly singular and symmetric kernel

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 (9)

A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1\)] ⋮ A projection method for Volterra integral equations in weighted spaces of continuous functions ⋮ Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules ⋮ Numerical methods for Fredholm integral equations on the square ⋮ On the stability of a modified Nyström method for Mellin convolution equations in weighted spaces ⋮ A Nyström method for Fredholm integral equations with right-hand sides having isolated singularities ⋮ Nyström-quasilinearization method and smoothing transformation for the numerical solution of nonlinear weakly singular Fredholm integral equations ⋮ Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions ⋮ FRACTIONAL HERMITE DEGENERATE KERNEL METHOD FOR LINEAR FREDHOLM INTEGRAL EQUATIONS INVOLVING ENDPOINT WEAK SINGULARITIES

Cites Work

• Unnamed Item
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• Integral equations with diagonal and boundary singularities of the kernel
• Hybrid collocation methods for Fredholm integral equations with weakly singular kernels
• Hilbert transforms and Lagrange interpolation
• A Nyström method for boundary integral equations in domains with corners
• A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold
• Lagrange interpolation in weighted Besov spaces
• On polynomial collocation for second kind integral equations with fixed singularities of Mellin type
• Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
• Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations
• Fast wavelet transforms and numerical algorithms I
• Mean Convergence of Lagrange Interpolation. III
• The properties of solutions of weakly singular integral equations
• A Collocation Method for the Generalized Airfoil Equation for an Airfoil with a Flap
• High order methods for weakly singular integral equations with nonsmooth input functions
• The Numerical Solution of Integral Equations of the Second Kind
• Fast Collocation Methods for Second Kind Integral Equations
• Linear Integral Equations of the Third Kind
• Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations
• A fast algorithm for particle simulations

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