Convergence of Gaussian formulas for the calculation of the derivatives of Cauchy principal value integrals

DOI10.1007/BF02575821zbMath0643.41018OpenAlexW2008845143MaRDI QIDQ1101910

Giuseppe Mastroianni, Giuliana Criscuolo

Publication date: 1987

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575821

zbMATH Keywords

Gaussian quadrature formulasnumerical approximationCauchy principal value integrals

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items

Numerical evaluation of hypersingular integrals, Some numerical algorithms to evaluate Hadamard finite-part integrals, On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals, Numerical computation of hypersingular integrals on the real semiaxis, The numerical evaluation of Cauchy principal value integrals with non-standard weight functions, Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals

Cites Work

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• The numerical evaluation of one-dimensional Cauchy principal value integrals
• On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
• Application of Quadrature Rules for Cauchy-Type Integrals to the Generalized Poincare-Bertrand Formula
• Rates of Convergence of Gaussian Quadrature for Singular Integrands
• Mean Convergence of Lagrange Interpolation. III
• On the Convergence of Product Formulas for the Numerical Evaluation of Derivatives of Cauchy Principal Value Integrals
• The Classical Collocation Method for Singular Integral Equations
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL