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Order, stepsize and stiffness switching

Anpassung von Ordnung, Schrittweite und Steifheit

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Abstract

The question discussed in this paper is “When should a code switch between stiff and non-stiff options, when should it switch between one order and another and how should it adjust its stepsize from one step to the next.” Criteria are proposed for switching between the options that become available as the integration progresses and these are presented in algorithmic form.

Zusammenfassung

Wir diskutieren die Frage: “Wann soll ein Programm zwischen steifen und nicht-steifen Verfahren wählen, wann soll es die Ordnung ändern und in welcher Weise soll es die Größe des nächsten Schrittes bestimmen?” Kriterien für die Auswahl zwischen verschiedenen Möglichkeiten, die sich im Verlauf der Integration ergeben, werden vorgeschlagen und in algorithmischer Form dargestellt.

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Butcher, J.C. Order, stepsize and stiffness switching. Computing 44, 209–220 (1990). https://doi.org/10.1007/BF02262217

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  • DOI: https://doi.org/10.1007/BF02262217

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