A numerical method for finite-part integrals

Cites Work

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On the simultaneous approximation of a Hilbert transform and its derivatives on the real semiaxis
A method to evaluate the Hilbert transform on (\(0, +\infty \))
Some quadrature formulae with nonstandard weights
Numerical integration schemes for Petrov-Galerkin infinite BEM
\(L^p\)-convergence of Lagrange interpolation on the semiaxis
Extended Lagrange interpolation in weighted uniform norm
Definitions, properties and applications of finite-part integrals
Numerical evaluation of hypersingular integrals
A new quadrature scheme based on an extended Lagrange interpolation process
A product integration rule for hypersingular integrals on \((0,+\infty)\)
Numerical computation of hypersingular integrals on the real semiaxis
Compact numerical quadrature formulas for hypersingular integrals and integral equations
Extended Lagrange interpolation on the real line
A mixed scheme of product integration rules in \((-1,1)\)
Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\)
Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\)
Numerical treatment of a class of systems of Fredholm integral equations on the real line
On the numerical solution of singular integro-differential equations
On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals
Lagrange interpolation at Laguerre zeros in some weighted uniform spaces