Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2
|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 systems — Runge-Kutta methods — order conditions — constrained 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|