On the Chebyshev quadrature rule of finite part integrals

DOI10.1016/j.cam.2004.10.007zbMath1069.41024OpenAlexW2097165419MaRDI QIDQ1779424

U. Jin Choi, Soyoung Ahn, Phil Su Kim

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.10.007

zbMATH Keywords

Chebyshev interpolationfinite part integrals

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (2)

On uniform approximations to hypersingular finite-part integrals ⋮ Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels

Cites Work

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• Three algorithms for Hadamard finite-part integrals and fractional derivatives
• The Numerical Evaluation of a 2-D Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
• On the Hölder semi-norm of the remainder in polynomial approximation
• On the approximate evaluation of Hadamard finite-part integrals
• The evaluation and application of some modified moments
• An asymptotic analysis of two algorithms for certain Hadamard finite-part integrals
• A quadrature rule of interpolatory type for Cauchy integrals
• A Chebyshev quadrature rule for one sided finite part integrals

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