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

Siegfried Prössdorf; A. Rathsfeld

doi:10.4171/zaa/349

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

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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 $ϵ$ -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