The numerical evaluation of a class of logarithmically singular integral transforms

DOI10.1016/0096-3003(93)90142-2zbMath0783.65087OpenAlexW2018837319MaRDI QIDQ687009

Michael A. Golberg, Michael McKenna

Publication date: 17 October 1993

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90142-2

zbMATH Keywords

algorithmintegral transformsnumerical examplesfinite Chebyshev serieslogarithmically singular kernels

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)

Related Items (2)

Approximating the singular integrals of Cauchy type with weight function on the interval ⋮ Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges

Cites Work

• A Chebyshev expansion of singular integrodifferential equations with a \(\partial^ 2| n| s-t| / \partial s \partial t\) kernel
• Asymptotic Behaviour of Eigen-Values of Certain Integral Equations
• Aerodynamic Interference Effects on Oscillating Airfoils with Controls in Ventilated Wind Tunnels
• A method for the numerical solution of singular integral equations with logarithmic singularities
• The Two-Dimensional Oscillating Airfoil in a Wind Tunnel in Subsonic Flow
• Efficiency of a Procedure for Near-Minimax Approximation
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