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DAEs in Applications

In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

Author

Listed:
  • Lena Scholz

    (Institut für Mathematik, Technische Universität Berlin)

  • Andreas Steinbrecher

    (Institut für Mathematik, Technische Universität Berlin)

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.

Suggested Citation

  • Lena Scholz & Andreas Steinbrecher, 2015. "DAEs in Applications," Springer Books, in: Peter Benner & Matthias Bollhöfer & Daniel Kressner & Christian Mehl & Tatjana Stykel (ed.), Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, edition 127, chapter 0, pages 463-501, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-15260-8_17
    DOI: 10.1007/978-3-319-15260-8_17
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