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Differential-Algebraic Equations

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Index-aware Model Order Reduction Methods

Part of the book series: Atlantis Studies in Scientific Computing in Electromagnetics ((ASSCE,volume 2))

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Abstract

In this chapter, we introduce the differential algebraic equations which we abbreviate as DAEs. DAEs arise in a variety of applications such as modelling constrained multibody systems, electrical networks, aerospace engineering, chemical processes, computational fluid dynamics, gas transport networks, see [10–12, 35]. Therefore their analysis and numerical treatment plays an important role in modern mathematics.

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Authors and Affiliations

  1. Computational Methods in Systems and Control Theory, MPI for Dynamics of Complex Technical Systems, Magdeburg, Germany

    N. Banagaaya

  2. Department of Physics, University of Calabria, Arcavacata di Rende, Cosenza, Italy

    G. Alì

  3. Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands

    W. H. A. Schilders

Authors
  1. N. Banagaaya
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  2. G. Alì
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  3. W. H. A. Schilders
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Correspondence to N. Banagaaya .

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Banagaaya, N., Alì, G., Schilders, W.H.A. (2016). Differential-Algebraic Equations. In: Index-aware Model Order Reduction Methods. Atlantis Studies in Scientific Computing in Electromagnetics, vol 2. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-189-5_2

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  • DOI: https://doi.org/10.2991/978-94-6239-189-5_2

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  • Publisher Name: Atlantis Press, Paris

  • Print ISBN: 978-94-6239-188-8

  • Online ISBN: 978-94-6239-189-5

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