Abstract
In this paper we show a result that ensures certain order for the local error Runge-Kutta methods for index 2 differential algebraic problems with the help of the simplifying conditionsB(p),C(q),D(r) andA 1(s) for the differential component andB(p), C(q), andA 2(s) for the algebraic component.
Zusammenfassung
In der vorliegenden Arbeit wird der lokale Fehler von Runge-Kutta Verfahren für differential-algebraische Gleichungen vom Index 2 untersucht. Mit Hilfe vonB(p),C(q),D(r) undA 1(s) werden hinreichende Bedingungen für die Ordnung der differentialen Komponenten angegeben; mittelsB(p), C(q), D(r) undA 2(s) solche für die algebraischen Komponenten.
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Higueras, I. On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems. Computing 54, 185–190 (1995). https://doi.org/10.1007/BF02238131
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DOI: https://doi.org/10.1007/BF02238131