Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals
type: Item
instance of: scholarly article
title: Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals
zbMATH Open document ID: 1396.65078
author: Jin Li
author: Hongxing Rui
publication date: 2018-08-30T00:00:00Z
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 6929652
zbMATH Keywords: Cauchy principle integral
zbMATH Keywords: composite trapezoidal rule
zbMATH Keywords: error functional
zbMATH Keywords: two-dimensional
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.09.025
OpenAlex ID: W2761888317
cites work: Q4409170
cites work: Approximate solution of singular integral equations of the first kind with Cauchy kernel
cites work: Q4342629
cites work: Q3342999
cites work: Q3221323
cites work: On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
cites work: On the approximate computation of certain strongly singular integrals
cites work: Q5288445
cites work: The numerical computation of hypersingular integrals and its application in BEM
cites work: Q4327149
cites work: Q4364211
cites work: Evaluations of certain hypersingular integrals on interval
cites work: Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals
cites work: Extrapolation methods to compute hypersingular integral in boundary element methods
cites work: The modified trapezoidal rule for computing hypersingular integral on interval
cites work: Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods
cites work: Numerical evaluation for Cauchy type singular integrals on the interval
cites work: Convergence of Gauss type product formulas for the evaluation of two- dimensional Cauchy principal value integrals
cites work: Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals
cites work: Q3113002
cites work: Q2964584
cites work: Error expansion of piecewise constant interpolation rule for certain two-dimensional Cauchy principal value integrals
cites work: The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
cites work: Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications
cites work: The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle
cites work: Composite Simpson’s Rule for Computing SupersingularIntegral on Circle
cites work: Collocation Methods to Solve Certain Hilbert IntegralEquation with Middle Rectangle Rule
cites work: Trapezoidal rule for computing supersingular integral on a circle
cites work: Error Expansion of Classical Trapezoidal Rule forComputing Cauchy Principal Value Integral
cites work: Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval
cites work: On the computation of the Euler constant \({\gamma}\)
DOI: 10.1016/J.CAMWA.2017.09.025
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6929652