A quadrature rule of interpolatory type for Cauchy integrals

DOI10.1016/S0377-0427(99)00354-4zbMath0972.65018MaRDI QIDQ5928291

Phil Su Kim, U. Jin Choi

Publication date: 11 November 2001

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

zbMATH Keywords

numerical examplesCauchy integralserror boundquadrature ruletrigonometric interpolation

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (8)

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 ⋮ A quadrature rule for weighted Cauchy integrals ⋮ A trigonometric quadrature rule for Cauchy integrals with Jacobi weight ⋮ The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals ⋮ A Chebyshev quadrature rule for one sided finite part integrals ⋮ On the Chebyshev quadrature rule of finite part integrals ⋮ On the convergence of interpolatory-type quadrature rules for evaluating Cauchy integrals

Cites Work

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• Generalized Chebyshev Interpolation and Its Application to Automatic Quadrature
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• A Note on Quadrature Formulae for Cauchy Principal Value Integrals
• An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation
• Low-order methods for Cauchy principal value integrals with endpoint singularities
• An Automatic Quadrature for Cauchy Principal Value Integrals
• Truncation Errors in Two Chebyshev Series Approximations

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