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Record Nr. |
UNINA9910338255303321 |
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Titolo |
Applications of Differential-Algebraic Equations: Examples and Benchmarks / / edited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (324 pages) |
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Collana |
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Differential-Algebraic Equations Forum, , 2199-840X |
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Disciplina |
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Soggetti |
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Differential equations |
Numerical analysis |
Mathematical models |
Differential Equations |
Numerical Analysis |
Mathematical Modeling and Industrial Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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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