Applications of Differential-Algebraic Equations: Examples and Benchmarks

  • Stephen Campbell
  • Achim Ilchmann
  • Volker Mehrmann
  • Timo Reis

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

Table of contents

  1. Front Matter
    Pages i-vii
  2. Michael Burger, Matthias Gerdts
    Pages 37-80
  3. Idoia Cortes Garcia, Sebastian Schöps, Herbert De Gersem, Sascha Baumanns
    Pages 123-169
  4. Peter Benner, Sara Grundel, Christian Himpe, Christoph Huck, Tom Streubel, Caren Tischendorf
    Pages 171-197
  5. Ann-Kristin Baum, Michael Kolmbauer, Günter Offner
    Pages 199-242
  6. Peter Stechlinski, Michael Patrascu, Paul I. Barton
    Pages 243-275
  7. Back Matter
    Pages 313-320

About this book


This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used. This is followed by a mathematical analysis, and if appropriate, a discussion of the numerical aspects including simulation. Additionally, benchmark examples are included throughout the text.

Mathematicians, engineers, and other scientists, working in both academia and industry either on differential-algebraic equations and systems or on problems where the tools and insight provided by differential-algebraic equations could be useful, would find this book resourceful.


differential-algebraic equations numerical analysis mathematical modelling mechanical engineering flow problems electrical engineering DAE

Editors and affiliations

  • Stephen Campbell
    • 1
  • Achim Ilchmann
    • 2
  • Volker Mehrmann
    • 3
  • Timo Reis
    • 4
  1. 1.Department of MathematicsNorth Carolina State UniversityRaleighUSA
  2. 2.Institut für MathematikTechnische Universität IlmenauIlmenauGermany
  3. 3.Institut für MathematikTechnische Universität BerlinBerlinGermany
  4. 4.Fachbereich MathematikUniversität HamburgHamburgGermany

Bibliographic information