Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1984-08-31
The Convergence of Galerkin and Collocation Methods with Splines for Pseudodifferential Equations on Closed CurvesGunther Schmidt (1) Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
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.
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Schmidt Gunther: The Convergence of Galerkin and Collocation Methods with Splines for Pseudodifferential Equations on Closed Curves. Z. Anal. Anwend. 3 (1984), 371-384. doi: 10.4171/ZAA/115