A Chebyshev quadrature rule for one sided finite part integrals

DOI10.1006/jath.2001.3572zbMath0982.41015OpenAlexW2041338518MaRDI QIDQ5945600

Phil Su Kim

Publication date: 1 April 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3572

zbMATH Keywords

Chebyshev interpolationfinite part integral

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (4)

An embedded formula of the Chebyshev collocation method for stiff problems ⋮ On the Chebyshev quadrature rule of finite part integrals ⋮ An error embedded method based on generalized Chebyshev polynomials ⋮ Unnamed Item

Cites Work

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• A method for numerical integration on an automatic computer
• On the approximate computation of certain strongly singular integrals
• The numerical evaluation of Hadamard finite-part integrals
• The numerical evaluation of one-dimensional Cauchy principal value integrals
• Three algorithms for Hadamard finite-part integrals and fractional derivatives
• An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation
• An Automatic Quadrature for Cauchy Principal Value Integrals
• An asymptotic analysis of two algorithms for certain Hadamard finite-part integrals
• Truncation Errors in Two Chebyshev Series Approximations
• A quadrature rule of interpolatory type for Cauchy integrals
• A quadrature rule for weighted Cauchy integrals
• A trigonometric quadrature rule for Cauchy integrals with Jacobi weight

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