Zusammenfassung
In dieser Arbeit wird die numerische Integration gewöhnlicher Differentialgleichungen durch Taylorreihen hoher Ordnung auf einfache Weise dargestellt. Es werden alle für die Erzeugung der Reihen gebrauchten Beziehungen angegeben, und eine einfache, aber wirksame Strategie zur Steuerung von Fehlerordnung und Schrittlänge wird vorgeschlagen.
Abstract
In this paper we discuss in a simple way the numerical integration of ordinary differential equations by means of high order Taylor series. All the equations needed for generating the series are given, and a simple but effective strategy for controlling the order and stepsize is proposed.
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Literatur
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Waldvogel, J. Der Tayloralgorithmus. Z. angew. Math. Phys. 35, 780–789 (1984). https://doi.org/10.1007/BF00945443
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DOI: https://doi.org/10.1007/BF00945443