[Zurück]

C. Rößler, I. Hafner, B. Heinzl, F. Breitenecker:
"Comparison of Regularisation Approaches for High Index DAEs";
Vortrag: 22. Symposium Simulationstechnik, Berlin; 03.09.2014 - 05.09.2014; in: "Tagungsband ASIM 2014 22 Symposium Simulationstechnik", J. Wittmann, C. Deatcu (Hrg.); ARGESIM/ASIM, 43/1/Berlin (2014), ISBN: 978-3-901608-44-5; S. 23 - 30.

The use of object-oriented modelling approaches for modelling physical or mechanical systems leads to
differential-algebraic equations which cannot be directly transformed into ordinary differential equations,
because they have a differential index greater than zero. The transformation into an odrinary differential
equation is important for the numerical solving. This paper is intended to provide an overview of common
regularisation approaches for differential-algebraic equations with high differential index. First there
are some mathematical definitions and basic findings. After a short overview of the discussed methods,
including a classification of the techniques in the areas differentiation, projection and transformation, the
different methods are demonstrated using the commonly known example of a rotational pendulum described
in Cartesian coordinates. With respect to this example a comparison of the numerical solutions of
the used methods is possible.

http://publik.tuwien.ac.at/files/PubDat_234784.pdf