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Index-aware Model Order Reduction Methods

Applications to Differential-Algebraic Equations

  • Book
  • © 2016

Overview

Authors:
  1. N. Banagaaya

    1. Computational Methods in Sys & Control, MPI for Dynamics of Complex Tech., Sys, Magdeburg, Germany

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  2. G. Alì

    1. Department of Physics, University of Calabria, Arcavacata di Rende, Italy

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  3. W.H.A. Schilders

    1. Department of Mathematics and Comp., Sci, Eindhoven University of Technology, Eindhoven, The Netherlands

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  • This is the first book on index-aware model order reduction methods
  • The splitting technique described in this book is computationally much more effective than existing methods
  • Methods described for the reduction of algebraic systems are new and widely applicable
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 1-8

  3. Differential-Algebraic Equations

    • N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 9-19

  4. Decoupling of Linear Constant DAEs

    • N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 21-59

  5. Index-aware Model Order Reduction

    • N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 61-70

  6. Large Scale Problems

    • N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 71-82

  7. Conclusion

    • N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 83-83

  8. Back Matter

    Pages 85-86
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Keywords

About this book

The main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction. The splitting produces a system of ordinary differential equations (ODE) and a system of algebraic equations, which are then reduced separately. For the reduction of the ODE system, conventional MOR methods can be used, whereas for the reduction of the algebraic systems new methods are discussed.  The discussion focuses on the index-aware model order reduction method (IMOR) and its variations, methods for which the so-called index of the original model is automatically preserved after reduction.

Authors and Affiliations

  • Computational Methods in Sys & Control, MPI for Dynamics of Complex Tech., Sys, Magdeburg, Germany

    N. Banagaaya

  • Department of Physics, University of Calabria, Arcavacata di Rende, Italy

    G. Alì

  • Department of Mathematics and Comp., Sci, Eindhoven University of Technology, Eindhoven, The Netherlands

    W.H.A. Schilders

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