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A numerical method for solving parabolic equations with opposite orientations

Ein numerisches Verfahren zur Lösung parabolischer Differentialgleichungen mit entgegengesetzter Orientierung

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Abstract

The solution of parabolic control problems is characterized by a system of two equations parabolic with respect to opposite orientations. In this paper a fast iterative method for solving such problems is proposed.

Zusammenfassung

Die Lösung parabolischer Kontrollprobleme wird durch ein System von zwei Differentialgleichungen charakterisiert, die bezüglich entgegenlaufender Richtungen parabolisch sind. In diesem Beitrag wird ein schnelles Iterationsverfahren zur Lösung derartiger Probleme vorgeschlagen.

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Authors and Affiliations

  1. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D-5000, Köln 41, Federal Republic of Germany

    W. Hackbusch

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  1. W. Hackbusch
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Hackbusch, W. A numerical method for solving parabolic equations with opposite orientations. Computing 20, 229–240 (1978). https://doi.org/10.1007/BF02251947

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  • DOI: https://doi.org/10.1007/BF02251947

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