Applications of Differential-Algebraic Equations: Examples and Benchmarks
Springer International Publishing (Verlag)
978-3-030-03717-8 (ISBN)
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.
General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example.- DAE Aspects in Vehicle Dynamics and Mobile Robotics.- Open-loop Control of Underactuated Mechanical Systems Using Servo-constraints: Analysis and Some Examples.- Systems of Differential Algebraic Equations in Computational Electromagnetics.- Gas Network Benchmark Models.- Topological Index Analysis Applied to Coupled Flow Networks.- Nonsmooth DAEs with Applications in Modeling Phase Changes.- Continuous, Semi-Discrete, and Fully Discretized Navier-Stokes Equations.
"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)
| Erscheinungsdatum | 26.06.2019 |
|---|---|
| Reihe/Serie | Differential-Algebraic Equations Forum |
| Zusatzinfo | VII, 320 p. 100 illus., 64 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 504 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | DAE • Differential-Algebraic Equations • Electrical Engineering • flow problems • Mathematical Modelling • mechanical engineering • Numerical analysis • Ordinary differential equations |
| ISBN-10 | 3-030-03717-7 / 3030037177 |
| ISBN-13 | 978-3-030-03717-8 / 9783030037178 |
| Zustand | Neuware |
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