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I. Hafner, C. Rößler:
"Comparison of Regularisation Methods Referring to a Multi-Pendulum Case Study";
in: "Mathmod 2015 Vienna", 44; F. Breitenecker, A. Kugi, I. Troch (ed.); issued by: TU Wien; ARGESIM / ASIM, German Simulation Society, Division of German Society for Informatics and Life Sciences, Wien, 2015, ISBN: 978-3-901608-46-9, 330 - 331.

Abstract: This paper compares several regularisation methods for di↵erential-algebraic equation
systems of high di↵erential 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 di↵erential-algebraic equation systems while
the quality of many regularisation methods depends on an adequate choice of parameters,
implementation and the system itself to be solved with the respective method.

DAE, Di↵erential Index, Regularisation Methods, Mechanical System, Pendulum

http://publik.tuwien.ac.at/files/PubDat_245358.pdf