Convergence and stability of a collocation method for the generalized airfoil equation

DOI10.1016/0096-3003(81)90023-0zbMath0464.65096OpenAlexW2132387751MaRDI QIDQ1154231

Michael A. Golberg, J. A. Fromme

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0096-3003(81)90023-0

zbMATH Keywords

stabilityconvergencecollocation methodJacobi polynomialsembedding methodgeneralized airfoil equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (9)

Recent developments in the numerical solution of singular integral equations ⋮ FACTORING VARIANTS OF CHEBYSHEV POLYNOMIALS WITH MINIMAL POLYNOMIALS OF ⋮ On the uniform convergence of a collocation method for a class of singular integral equations ⋮ The stability of the Gauss-Chebyshev method for Cauchy singular integral equations ⋮ On the numerical resolution of the generalized airfoil equation with Possio kernel ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind ⋮ Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. I. Maehly type approximants ⋮ The conditioning of some projection methods for Fredholm and singular integral equations ⋮ The convergence of a collocation method for a class of Cauchy singular integral equations

Cites Work

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• On the \(L_2\) convergence of collocation for the generalized airfoil equation
• Numerical solution of a class of integral equtions arising in two- dimensional aerodynamics
• Aerodynamic Interference Effects on Oscillating Airfoils with Controls in Ventilated Wind Tunnels
• An analysis of a method for solving singular integral equations
• The Numerical Solution of Singular Integral Equations over $( - 1,1)$
• The Two-Dimensional Oscillating Airfoil in a Wind Tunnel in Subsonic Flow

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