Applications of Differential-Algebraic Equations: Examples and Benchmarks, 1st ed. 2019
Differential-Algebraic Equations Forum Series

Coordinators: Campbell Stephen, Ilchmann Achim, Mehrmann Volker, Reis Timo

Language: English

40.08 €

In Print (Delivery period: 15 days).

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320 p. · 15.5x23.5 cm · Paperback

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.

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