Asymptotic expansions of the error for hyper-singular integrals with an interval variable
type: Item
instance of: scholarly article
title: Asymptotic expansions of the error for hyper-singular integrals with an interval variable
zbMATH Open document ID: 1330.65043
author: Chong Chen
author: Jin Huang
author: Yanying Ma
published in: Journal of Inequalities and Applications
publication date: 2016-01-05T00:00:00Z
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65N38
zbMATH DE Number: 6526598
zbMATH Keywords: hyper-singular integral
zbMATH Keywords: Euler-Maclaurin expansions
zbMATH Keywords: quadrature formulas
zbMATH Keywords: Hadamard finite part
zbMATH Keywords: extrapolation method
zbMATH Keywords: boundary integral equation
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: s13660-015-0950-7
OpenAlex ID: W2227163317
Wikidata QID: Q59468372
cites work: Q4831048
cites work: The Euler-Maclaurin expansion and finite-part integrals
cites work: Hypersingular boundary integral equation for axisymmetric elasticity
cites work: Hypersingular integral operators on modulation spaces for \(0<p<1\)
cites work: Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
cites work: Simulation of floating potentials in industrial applications by boundary element methods
cites work: Two trigonometric quadrature formulae for evaluating hypersingular integrals
cites work: Asymptotic error expansions for hypersingular integrals
cites work: Numerical solution of integral equations with logarithmic-, Cauchy- and Hadamard-type singularities
cites work: Evaluations of hypersingular integrals using Gaussian quadrature
cites work: Hypersingular integral equation method for three-dimensional crack problem in shear mode
cites work: Quadrature methods for periodic singular and weakly singular Fredholm integral equations
cites work: Hybrid Gauss-Trapezoidal Quadrature Rules
cites work: Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains
cites work: A Green function approach for the investigation of the incompressible flow past an oscillatory thin hydrofoil including floor effects
cites work: Numerical evaluation of hypersingular integrals
cites work: The numerical evaluation of Hadamard finite-part integrals
cites work: Evaluations of certain hypersingular integrals on interval
cites work: On the approximate computation of certain strongly singular integrals
cites work: A superconvergence result for the second-order Newton-Cotes formula for certain finite-part integrals
cites work: The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
DOI: 10.1186/S13660-015-0950-7
description: scientific article; zbMATH DE number 6526598