A numerical method for the generalized airfoil equation based on the de la Vallée Poussin interpolation

DOI10.1016/j.cam.2004.10.003zbMath1069.76045OpenAlexW2011650532MaRDI QIDQ1779420

Woula Themistoclakis, Giuseppe Mastroianni

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.2004.10.003

zbMATH Keywords

error estimatesprojection methodCauchy-type singular equationfinite-dimensional equation

Mathematics Subject Classification ID

Related Items (12)

Filtered interpolation for solving Prandtl's integro-differential equations ⋮ Filtered integration rules for finite weighted Hilbert transforms ⋮ Some error bounds for Gauss-Jacobi quadrature rules ⋮ Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes ⋮ Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions ⋮ Image scaling by de la Vallée-Poussin filtered interpolation ⋮ A numerical method for solving systems of hypersingular integro-differential equations ⋮ Weighted \(L^1\) approximation on \([- 1, 1\) via discrete de la Vallée Poussin means] ⋮ Uniform approximation on \([-1,1\) via discrete de la Vallée Poussin means] ⋮ On the filtered polynomial interpolation at Chebyshev nodes ⋮ A numerical method and efficient preconditioner for generalized airfoil equations ⋮ Some numerical applications of generalized Bernstein operators

Cites Work

• Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution
• Some interpolating operators of de la Vallée-Poussin type
• 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
• Uniform convergence estimates for a collocation method for the Cauchy singular integral equation
• On the solution of the generalized airfoil equation
• Condition numbers in numerical methods for Fredholm integral equations of the second kind
• Boundedness of the Hilbert transformation in some weighted Besov type spaces
• Orthogonal polynomials
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms
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