Asymptotic error expansions and splitting extrapolation algorithm for two classes of two-dimensional Cauchy principal-value integrals

DOI10.1016/j.amc.2019.03.056zbMath1429.65318OpenAlexW2930995293WikidataQ128117776 ScholiaQ128117776MaRDI QIDQ2009579

Jin Huang, Yanying Ma

Publication date: 29 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.03.056

zbMATH Keywords

quadrature ruleasymptotic error expansionsplitting extrapolation algorithmtwo-dimensional Cauchy principal-value integral

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integration of real functions of several variables: length, area, volume (26B15) Numerical quadrature and cubature formulas (65D32)

Related Items

Cubic spline quadrature rule to calculate supersingular integral on interval ⋮ Unnamed Item ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval

Cites Work

• Unnamed Item
• Unnamed Item
• Richardson extrapolation on some recent numerical quadrature formulas for singular and hypersingular integrals and its study of stability
• The Euler-Maclaurin expansion for the Cauchy principal value integral
• Modified Gauss-Legendre, Lobatto and Radau cubature formulas for the numerical evaluation of 2-D singular integrals
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• The evaluation of certain two-dimensional singular integrals used in three-dimensional elasticity
• Asymptotic error expansions for hypersingular integrals
• Analysis of errors in some recent numerical quadrature formulas for periodic singular and hypersingular integrals via regularization
• Hypersingular integral equation method for three-dimensional crack problem in shear mode
• A Further Extension of the Euler-Maclaurin Summation Formula
• On the numerical evaluation of two-dimensional principal value integrals
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• The Numerical Evaluation of a 2-D Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
• Numerical solution of integral equations with logarithmic-, Cauchy- and Hadamard-type singularities
• Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
• Improvement of the asymptotic behaviour of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite‐part integrals