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

V. Brasey
E. Hairer
Journal / Anthology

SIAM Journal on Numerical Analysis
Year: 1993
Volume: 30
Issue: 2
Page range: 538-552

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.

*Applied Mathematics > Numerical Methods
*Mathematics > Calculus and Analysis > Differential Equations