On the Convergence of Product Formulas for the Numerical Evaluation of Derivatives of Cauchy Principal Value Integrals
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Publication:3787351
DOI10.1137/0725043zbMath0644.65015OpenAlexW2091816152MaRDI QIDQ3787351
Giuseppe Mastroianni, Giuliana Criscuolo
Publication date: 1988
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0725043
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Related Items (13)
Numerical evaluation of hypersingular integrals ⋮ Approximation of the Hilbert Transform on the real line using Hermite zeros ⋮ The use of spline-on-spline for the approximation of Cauchy principal value integrals ⋮ Convergence of Gaussian formulas for the calculation of the derivatives of Cauchy principal value integrals ⋮ A sinc quadrature rule for Hadamard finite-part integrals ⋮ Spline approximations for Cauchy principal value integrals ⋮ A new algorithm for Cauchy principal value and Hadamard finite-part integrals ⋮ Convergence and stability of a new quadrature rule for evaluating Hilbert transform ⋮ On an interpolatory product rule for evaluating Cauchy principal value integrals ⋮ The numerical evaluation of Cauchy principal value integrals with non-standard weight functions ⋮ Spline product quadrature rules for Cauchy singular integrals ⋮ Associated generalized Jacobi functions and polynomials ⋮ Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros
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