Editors:
- 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)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
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
Editors and Affiliations
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Department of Mathematics, North Carolina State University, Raleigh, USA
Stephen Campbell
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Institut für Mathematik, Technische Universität Ilmenau, Ilmenau, Germany
Achim Ilchmann
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Institut für Mathematik, Technische Universität Berlin, Berlin, Germany
Volker Mehrmann
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Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany
Timo Reis
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
DOI: https://doi.org/10.1007/978-3-030-03718-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-03717-8Published: 24 June 2019
eBook ISBN: 978-3-030-03718-5Published: 08 June 2019
Series ISSN: 2199-7497
Series E-ISSN: 2199-840X
Edition Number: 1
Number of Pages: VII, 320
Number of Illustrations: 36 b/w illustrations, 64 illustrations in colour
Topics: Ordinary Differential Equations, Numerical Analysis, Mathematical Modeling and Industrial Mathematics