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A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems

Ein halb-explizites Runge-Kutta Verfahren der Ordnung 5 zur Behandlung von mechanischen Systemen mit Nebenbedingungen

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Abstract

A new half-explicit Runge-Kutta method for the numerical integration of differential-algebraic systems of index 2 is constructed. It is particularly efficient for the solution of the equations of motion of constrained mechanical systems. Numerical experiments and comparisons with other codes (DASSL, MEXX) demonstrate the efficiency of the new method.

Zusammenfassung

Ein neues halb-explizites Runge-Kutta Verfahren zur numerischen Integration von Algebro-Differentialgleichungen von Index 2 wird hergeleitet. Es ist besonders effizient für die numerische Lösung der Bewegungsgleichungen von mechanischen Systemen mit Nebenbedingungen. Numerische Beispiele und Vergleiche mit anderen Programmen (DASSL, MEXX) zeigen die Effizienz des neuen Verfahrens.

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  1. Section de Mathematiques, Universite de Geneve, 2-4, rue du Lievre, CH-1211, Geneve 24, Switzerland

    V. Brasey

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  1. V. Brasey
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Brasey, V. A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems. Computing 48, 191–201 (1992). https://doi.org/10.1007/BF02310533

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  • DOI: https://doi.org/10.1007/BF02310533

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