The trapezoidal rule for computing Cauchy principal value integral on circle

DOI10.1155/2015/918083zbMath1394.65020OpenAlexW2160184188WikidataQ59120269 ScholiaQ59120269MaRDI QIDQ1666928

Jin Li

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/918083

Mathematics Subject Classification ID

Numerical integration (65D30)

Cites Work

• The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals
• Spline approximations for Cauchy principal value integrals
• Gaussian formulae for the calculation of Cauchy principal value integrals and their convergence
• On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals
• Approximation of Cauchy principal value integrals by piecewise Hermite quartic polynomials by spline
• On the evaluation of one-dimensional Cauchy principal value integrals by rules based on cubic spline interpolation
• A sinc quadrature method for the double-layer integral equation in planar domains with corners
• Evaluation of Cauchy principal-value integrals using modified Simpson rules
• Modified compound quadrature rules for strongly singular integrals
• A comparison of some quadrature methods for approximating Cauchy principal value integrals
• Uniform approximations to finite Hilbert transform and its derivative.
• Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals
• Numerical analysis for one-dimensional Cauchy singular integral equations
• Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates
• The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
• Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval
• Error Expansion of Classical Trapezoidal Rule forComputing Cauchy Principal Value Integral
• On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
• A quadrature rule of interpolatory type for Cauchy integrals
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