Fredholm integral equations with non-smooth kernels in weighted spaces: Nyström approximations, stability and convergence

Numerical methods for integral equations (65R20) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fredholm integral equations (45B05) Numerical integration (65D30)

Cites Work

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Superconvergent Nyström method for Urysohn integral equations
Integral operators with Green's function type kernel
A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1]\)
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Interpolation Processes
Mean Convergence of Lagrange Interpolation. III
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Improvement by Iteration for Compact Operator Equations
The Numerical Solution of Integral Equations of the Second Kind
SPECTRAL APPROXIMATION METHODS FOR FREDHOLM INTEGRAL EQUATIONS WITH NON-SMOOTH KERNELS
On improvement of the iterated Galerkin solution of the second kind integral equations
Spectral approximation methods for nonlinear integral equations with non-smooth kernels
Fast and accurate solvers for weakly singular Volterra integral equations in weighted spaces
Collocation and modified collocation methods for solving second kind \textit{Fredholm} integral equations in weighted spaces

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