On the solution of the generalized airfoil equation

DOI10.1216/jiea/1181075988zbMath0884.76003OpenAlexW1982575475MaRDI QIDQ1366817

Susumu Okada, Siegfried Prössdorf

Publication date: 1 April 1998

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/nrm/vol9/contents/contents.htm

zbMATH Keywords

stabilityerror estimatesnumerical procedurecirculationtwo-dimensional elasticityoperator methodoscillating two-dimensional motionsingularities of Cauchy's and logarithmic typewing of infinite amplitude

Mathematics Subject Classification ID

General aerodynamics and subsonic flows (76G25) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Integral equations with kernels of Cauchy type (45E05)

Related Items (4)

Solvability of the generalized Possio equation in 2D subsonic aeroelasiticity ⋮ On a boundary value problem in subsonic aeroelasticity and the cofinite Hilbert transform ⋮ Fast collocation solvers for integral equations on open arcs ⋮ A numerical method for the generalized airfoil equation based on the de la Vallée Poussin interpolation

Cites Work

• A comprehensive approach to the approximate solution of singular integral equations over the arc (-1,1)
• On the \(L_2\) convergence of collocation for the generalized airfoil equation
• Numerical analysis for integral and related operator equations.
• A quadrature method for Cauchy integral equations with weakly singular perturbation kernel
• A fast algorithm for solving the generalized airfoil equation
• The numerical solution of the generalized airfoil equation
• Numerical solution of a class of integral equtions arising in two- dimensional aerodynamics
• Asymptotic Behaviour of Eigen-Values of Certain Integral Equations
• New Error Bounds for the Quadrature Method for the Solution of Cauchy Singular Integral Equations
• The Classical Collocation Method for Singular Integral Equations
• Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen
• Collocation with Chebyshev polynomials for Symm's integral equation on an interval
• The Finite Hilbert Transform in ℒ2
• The Stability and the Convergence of a Collocation Method for a Class of Cauchy Singular Integral Equations
• Über eine singuläre Integralgleichung mit logarithmischem Zusatzkern
• Singuläre Integraloperatoren in HILBERT‐Räumen mit Gewichtsfunktion
• The Two-Dimensional Oscillating Airfoil in a Wind Tunnel in Subsonic Flow
• ON THE FINITE HILBERT TRANSFORMATION
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