Differential-Algebraic Equations Forum

Applications of Differential-Algebraic Equations: Examples and Benchmarks

Editors: Campbell, S., Ilchmann, A., Mehrmann, V., Reis, T. (Eds.)

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  • 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

Buy this book

eBook 50,28 €
price for Spain (gross)
  • ISBN 978-3-030-03718-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover 62,39 €
price for Spain (gross)
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)


Table of contents (8 chapters)

Table of contents (8 chapters)
  • General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example

    Pages 1-36

    Campbell, Stephen (et al.)

  • DAE Aspects in Vehicle Dynamics and Mobile Robotics

    Pages 37-80

    Burger, Michael (et al.)

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

    Pages 81-122

    Otto, Svenja (et al.)

  • Systems of Differential Algebraic Equations in Computational Electromagnetics

    Pages 123-169

    Cortes Garcia, Idoia (et al.)

  • Gas Network Benchmark Models

    Pages 171-197

    Benner, Peter (et al.)

Buy this book

eBook 50,28 €
price for Spain (gross)
  • ISBN 978-3-030-03718-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover 62,39 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Applications of Differential-Algebraic Equations: Examples and Benchmarks
Editors
  • Stephen Campbell
  • Achim Ilchmann
  • Volker Mehrmann
  • Timo Reis
Series Title
Differential-Algebraic Equations Forum
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-03718-5
DOI
10.1007/978-3-030-03718-5
Softcover ISBN
978-3-030-03717-8
Series ISSN
2199-7497
Edition Number
1
Number of Pages
VII, 320
Number of Illustrations
36 b/w illustrations, 64 illustrations in colour
Topics