JournalszaaVol. 8, No. 3pp. 197–220

Quadrature and Collocation Methods for Singular Integral Equations on Curves with Corners

  • Siegfried Prössdorf

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • A. Rathsfeld

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Quadrature and Collocation Methods for Singular Integral Equations on Curves with Corners cover

Abstract

This paper is concerned with approximation methods for singular integral equations on curves with corners. Necessary and sufficient conditions for the stability of the piecewise constant ϵ\epsilon-collocation and of certain quadrature methods are given.

Cite this article

Siegfried Prössdorf, A. Rathsfeld, Quadrature and Collocation Methods for Singular Integral Equations on Curves with Corners. Z. Anal. Anwend. 8 (1989), no. 3, pp. 197–220

DOI 10.4171/ZAA/349