Interpolatory quadrature rules for Hadamard finite-part integrals and their superconvergence
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Publication:3515706
DOI10.1093/imanum/drm037zbMath1148.65020OpenAlexW2023144693MaRDI QIDQ3515706
Publication date: 29 July 2008
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/drm037
Related Items (20)
Quadrature rules for finite element approximations of 1D nonlocal problems ⋮ The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle ⋮ Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals ⋮ The superconvergence of the composite midpoint rule for the finite-part integral ⋮ Superconvergence of Newton-Cotes rule for computing hypersingular integral on a circle ⋮ The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions ⋮ Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\) ⋮ Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems ⋮ Cubic spline quadrature rule to calculate supersingular integral on interval ⋮ FINITE PART INTEGRALS ASSOCIATED WITH RIESZ AND HILFER DERIVATIVES ⋮ On uniform approximations to hypersingular finite-part integrals ⋮ Numerical solution of a certain hypersingular integral equation of the first kind ⋮ Is Pollution Effect of Finite Difference Schemes Avoidable for Multi-Dimensional Helmholtz Equations with High Wave Numbers? ⋮ Galerkin method for the scattering problem of a slit ⋮ A numerical study on the stability of a class of Helmholtz problems ⋮ Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions ⋮ Nodal-Type Newton-Cotes Rules for Fractional Hypersingular Integrals ⋮ Some numerical applications of generalized Bernstein operators ⋮ Superconvergence of Hermite rule for hypersingular integrals on interval ⋮ Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals
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