Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals

DOI10.1007/BF01390121zbMath0506.41032MaRDI QIDQ1836825

Giovanni Monegato

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132895

zbMATH Keywords

numerical approximationcubature formulasCauchy principal value integralsproduct rules of interpolatory type

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55)

Related Items (14)

Numerical evaluation of two-dimensional Cauchy principal value integrals ⋮ Approximation of the Hilbert Transform on the real line using Hermite zeros ⋮ Interlacing properties of the zeros of the orthogonal polynomials and approximation of the Hilbert transform ⋮ Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval ⋮ The trapezoidal rule for computing Cauchy principal value integral on circle ⋮ Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals ⋮ Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals ⋮ Spline approximations for Cauchy principal value integrals ⋮ A trigonometric quadrature rule for Cauchy integrals with Jacobi weight ⋮ Error expansion of piecewise constant interpolation rule for certain two-dimensional Cauchy principal value integrals ⋮ On the Convergence of Product Formulas for the Evaluation of Certain Two-Dimensional Cauchy Principal Value Integrals ⋮ On the convergence of interpolatory-type quadrature rules for evaluating Cauchy integrals ⋮ Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros ⋮ Error estimates in the numerical evaluation of some BEM singular integrals

Cites Work

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• Convergence of quadratures for Cauchy principal value integrals
• The numerical evaluation of one-dimensional Cauchy principal value integrals
• On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals
• Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
• On a certain class of Lebesgue constants

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