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Abstract

Differential-algebraic equations (DAEs) arise naturally in many technical and industrial applications. By incorporating the special structure of the DAE systems arising in certain physical domains, the general approach for the regularization of DAEs can be efficiently adapted to the system structure. We will present the analysis and regularization approaches for DAEs arising in mechanical multibody systems, electrical circuit equations, and flow problems. In each of these cases the DAEs exhibit a certain structure that can be used for an efficient analysis and regularization. Moreover, we discuss the numerical treatment of hybrid DAE systems, that also occur frequently in industrial applications. For such systems, the framework of DAEs provides essential information for a robust numerical treatment.

Keywords

Hybrid System Multibody System Nonholonomic Constraint Minimal Extension Switching Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work is dedicated to Prof. Dr. Volker Mehrmann. We would like to express our gratitude to him for initiating our work on DAEs and their applications many years ago. We would like to thank him for his support, his valuable criticism and discussions, but also for the freedom he gave us in our research.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institut für Mathematik, Technische Universität BerlinBerlinGermany

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