[Zurück]

C. Rößler, I. Hafner:
"Comparison of Regularisation Methods Referring to a Multi-Pendulum Case";
IFAC PapersOnLine, 48 (2015), 1; S. 314 - 315.

This paper compares several regularisation methods for differential-algebraic equation systems of high differential index by applying them to two model problems. Both problems are mechanical systems which are described by equation systems of index three, a pendulum and a double pendulum, where the latter furthermore shows chaotic behaviour. Some methods turn out to be not suitable at all for high index differential-algebraic equation systems while the quality of many regularisation methds depends on an adequate choice of parameters, implementation and the system itself to be solved with the respective method.

DAE, Differential index, Regularisation Methods, Mechanical Systems, Pendulum

http://dx.doi.org/10.1016/j.ifacol.2015.05.116

http://publik.tuwien.ac.at/files/PubDat_245595.pdf