Rates of convergence for collocation with Jacobi polynomials for the airfoil equation

DOI10.1016/0377-0427(92)00005-TzbMath0807.76058MaRDI QIDQ1334857

Ernst Peter Stephan, Thomas Hartmann

Publication date: 26 September 1994

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

zbMATH Keywords

singularity structurenonstandard Sobolev normsoptimal theoretical error estimates

Mathematics Subject Classification ID

Related Items (4)

An efficient algorithm for solving the generalized airfoil equation ⋮ Properties and Numerical Solution of an Integral Equation to Minimize Airplane Drag ⋮ The numerical integration scheme for a fast Petrov-Galerkin method for solving the generalized airfoil equation ⋮ A fast Petrov-Galerkin method for solving the generalized airfoil equation

Cites Work

• The convergence of a collocation method for a class of Cauchy singular integral equations
• On the \(L_2\) convergence of collocation for the generalized airfoil equation
• Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval
• Rates of Convergence for the Method of Classical Collocation for Solving Singular Integral Equations
• The solution of singular integral equations by approximate projection methods
• 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
• On quadrature formulas for singular integral equations of the first and the second kind
• The Numerical Solution of Singular Integral Equations over $( - 1,1)$
• Orthogonal Polynomials Associated with Singular Integral Equations Having a Cauchy Kernel

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