Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2
- 1 April 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 30 (2) , 538-552
- https://doi.org/10.1137/0730025
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 systemsKeywords
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