JournalszaaVol. 3, No. 4pp. 371–384

The Convergence of Galerkin and Collocation Methods with Splines for Pseudodifferential Equations on Closed Curves

  • Gunther Schmidt

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
The Convergence of Galerkin and Collocation Methods with Splines for Pseudodifferential Equations on Closed Curves cover
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Abstract

The present paper studies the approximate solution of pseudodifferential equations on closed curves using Galerkin and nodal collocation methods with polynomial splines. We give sufficient and in general necessary conditions for the convergence of these methods in Sobolev spaces.

Cite this article

Gunther Schmidt, The Convergence of Galerkin and Collocation Methods with Splines for Pseudodifferential Equations on Closed Curves. Z. Anal. Anwend. 3 (1984), no. 4, pp. 371–384

DOI 10.4171/ZAA/115