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Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2

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Published in SIAM Journal on Numerical Analysis. 1993, vol. 30, no. 2, p. 538-552
Abstract Half-explicit Runge-Kutta methods for differential-algebraic problems of index 2 are investigated. It is shown how the arising order conditions can be solved and a particular method of order 4 is constructed. In addition, this paper simplifies the known convergence theory for such methods and demonstrates by numerical experiments their excellent properties when applied to constrained multibody systems.
Keywords differential-algebraic systemsRunge-Kutta methodsorder conditionsconstrained multibody systems
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BRASEY, Valérie, HAIRER, Ernst. Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2. In: SIAM Journal on Numerical Analysis, 1993, vol. 30, n° 2, p. 538-552. doi: 10.1137/0730025 https://archive-ouverte.unige.ch/unige:12477

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Deposited on : 2010-11-16

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