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

種類:

電子ブック

責任表示:

edited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Campbell, Stephen.
• Ilchmann, Achim.
• Mehrmann, Volker.
• Reis, Timo.
• SpringerLink (Online service)

シリーズ名:

Differential-Algebraic Equations Forum ;

ISBN:

9783030037185 [3030037185]    

注記:

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.
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.

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