Skip to main content
SpringerLink
Log in

Applications of Differential-Algebraic Equations: Examples and Benchmarks

  • Book
  • © 2019

Overview

Editors:
  1. Stephen Campbell

    1. Department of Mathematics, North Carolina State University, Raleigh, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Achim Ilchmann

    1. Institut für Mathematik, Technische Universität Ilmenau, Ilmenau, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Volker Mehrmann

    1. Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Timo Reis

    1. Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Gives benchmark examples for differential-algebraic equations from various sciences
  • Shows how state of the art techniques involving DAEs can be applied to various, challenging problems
  • Can be used as a companion book in applied courses in several disciplines

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99 USD 69.99
43% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99 USD 89.99
44% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example

    • Stephen Campbell, Peter Kunkel
    Pages 1-36

  3. DAE Aspects in Vehicle Dynamics and Mobile Robotics

    • Michael Burger, Matthias Gerdts
    Pages 37-80

  4. Open-Loop Control of Underactuated Mechanical Systems Using Servo-Constraints: Analysis and Some Examples

    • Svenja Otto, Robert Seifried
    Pages 81-122

  5. Systems of Differential Algebraic Equations in Computational Electromagnetics

    • Idoia Cortes Garcia, Sebastian Schöps, Herbert De Gersem, Sascha Baumanns
    Pages 123-169

  6. Gas Network Benchmark Models

    • Peter Benner, Sara Grundel, Christian Himpe, Christoph Huck, Tom Streubel, Caren Tischendorf
    Pages 171-197

  7. Topological Index Analysis Applied to Coupled Flow Networks

    • Ann-Kristin Baum, Michael Kolmbauer, Günter Offner
    Pages 199-242

  8. Nonsmooth DAEs with Applications in Modeling Phase Changes

    • Peter Stechlinski, Michael Patrascu, Paul I. Barton
    Pages 243-275

  9. Continuous, Semi-discrete, and Fully Discretised Navier-Stokes Equations

    • R. Altmann, J. Heiland
    Pages 277-312

  10. Back Matter

    Pages 313-320
    Download chapter PDF
Back to top

Keywords

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.



Reviews

“The book can be of special interest to mathematicians, STEM students, and engineers working in multidisciplinary industry settings where the insight provided by differential-algebraic equations can be determinant in decision making.” (Andrzej Sokolowski, MAA Reviews, August 11, 2019)

Editors and Affiliations

  • Department of Mathematics, North Carolina State University, Raleigh, USA

    Stephen Campbell

  • Institut für Mathematik, Technische Universität Ilmenau, Ilmenau, Germany

    Achim Ilchmann

  • Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

    Volker Mehrmann

  • Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany

    Timo Reis

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation