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A modified lobatto collocation for linear boundary value problems of differential-algebraic equations

Eine modifizierte Lobatto-Kollokation für lineare Randwertprobleme von Algebro-Differentialgleichungen

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Abstract

The Lobatto collocation method is modified for efficiently solving linear boundary value problems of differential-algebraic equations with index 1. The stability and superconvergence of this method are established. Numerical implementations are discussed and a numerical example is given.

Zusammenfassung

In dieser Arbeit wird ein modifiziertes Lobatto-Kollokationsverfahren für lineare Randwertprobleme für Algebro-Differentialgleichungen mit Index 1 eingeführt. Die Stabilität und Superkonvergenz des Verfahrens werden nachgewiesen. Die numerische Durchführung des Verfahrens wird diskutiert und ein Beispiel präsentiert.

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  1. Fachbereich Mathematik, Universität Marburg, Lahnberge, D-W-3500, Marburg, Federal Republic of Germany

    Y. Bai

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  1. Y. Bai
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Bai, Y. A modified lobatto collocation for linear boundary value problems of differential-algebraic equations. Computing 49, 139–150 (1992). https://doi.org/10.1007/BF02238746

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  • DOI: https://doi.org/10.1007/BF02238746

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