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On Quadrature Methods of Gauss Type for Singular Integral Equations and the Airfoil Equation

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Numerical Techniques for Boundary Element Methods

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 33 7))

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Summary

The weighted mean convergence of a Gauss type quadrature method for solving singular integral equations over the arc (−1,1) with Cauchy kernel and a not necessarily regular perturbation kernel is studied. Moreover, error estimates in uniform norms are given. Finally the method is applied to the numerical solution of Prandtl’s airfoil equation.

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Author information

Authors and Affiliations

  1. Istituto per Applicazioni della Matematica, C.N.R., Via P. Castellino 111, 80131, Napoli, Italy

    G. Mastroianni

  2. Karl-Weierstraß-Institut für Mathematik, Mohrenstraße 39, D - O-1086, Berlin, Germany

    S. Prössdorf

Authors
  1. G. Mastroianni
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  2. S. Prössdorf
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Editor information

Editors and Affiliations

  1. Kiel, Germany

    Wolfgang Hackbusch

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© 1992 Springer Fachmedien Wiesbaden

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Mastroianni, G., Prössdorf, S. (1992). On Quadrature Methods of Gauss Type for Singular Integral Equations and the Airfoil Equation. In: Hackbusch, W. (eds) Numerical Techniques for Boundary Element Methods. Notes on Numerical Fluid Mechanics (NNFM), vol 33 7. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14005-4_13

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  • DOI: https://doi.org/10.1007/978-3-663-14005-4_13

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07633-7

  • Online ISBN: 978-3-663-14005-4

  • eBook Packages: Springer Book Archive

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