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Modular Time Integration of Block-Structured Coupled Systems Without Algebraic Loops

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Progress in Differential-Algebraic Equations

Part of the book series: Differential-Algebraic Equations Forum ((DAEF))

Abstract

In March 2013, a Workshop on coupled Descriptor Systems was held at Castle Eringerfeld, Geseke (Germany). There, the author of this short communication presented a key note lecture on “Efficient time integration of block-structured descriptor systems” with results that have recently been published in Arnold et al. (Arch Mech Eng LX:75–94 2013) and are given also in Chap. 6 below. In the present short communication we give a compact introduction to this material and focus on basic aspects of the convergence analysis. For a more detailed discussion the interested reader is referred to Chap.6 or the abovementioned paper.

Mathematics Subject Classification (2010) 65L80 ⋅ 65L70

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Martin Luther University Halle-Wittenberg, D-06099, Halle (Saale), Germany

    Martin Arnold

Authors
  1. Martin Arnold
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Correspondence to Martin Arnold .

Editor information

Editors and Affiliations

  1. Technische Universität Darmstadt, Graduate School CE, Darmstadt, Germany

    Sebastian Schöps

  2. Bergische Universität Wuppertal, Applied Math. and Numerical Analysis, Wuppertal, Germany

    Andreas Bartel

  3. Bergische Univeirsität Wuppertal, Applied Math. and Numerical Analysis, Wuppertal, Germany

    Michael Günther

  4. Eindhoven University of Technology, Dept. Mathematics & Comp. Sci., Eindhoven, The Netherlands

    E. Jan W. ter Maten

  5. Bergische Universität Wuppertal, Dept. Safety Control Engineering, Wuppertal, Germany

    Peter C Müller

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Arnold, M. (2014). Modular Time Integration of Block-Structured Coupled Systems Without Algebraic Loops. In: Schöps, S., Bartel, A., Günther, M., ter Maten, E., Müller, P. (eds) Progress in Differential-Algebraic Equations. Differential-Algebraic Equations Forum. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44926-4_5

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