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＜電子ブック＞
Applications of Differential-Algebraic Equations: Examples and Benchmarks / edited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis
(Differential-Algebraic Equations Forum. ISSN:2199840X)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	VII, 320 p. 100 illus., 64 illus. in color : online resource
著者標目	Campbell, Stephen editor Ilchmann, Achim editor Mehrmann, Volker editor Reis, Timo editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Numerical analysis LCSH:Mathematical models FREE:Differential Equations FREE:Numerical Analysis FREE:Mathematical Modeling and Industrial Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-03718-5

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