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Applications of Differential-Algebraic Equations: Examples and Benchmarks
Taschenbuch von Stephen Campbell (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Differential-Algebraic Equations Forum
Inhalt: vii
320 S.
36 s/w Illustr.
64 farbige Illustr.
320 p. 100 illus.
64 illus. in color.
ISBN-13: 9783030037178
ISBN-10: 3030037177
Sprache: Englisch
Herstellernummer: 978-3-030-03717-8
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Campbell, Stephen
Ilchmann, Achim
Mehrmann, Volker
Reis, Timo
Redaktion: Campbell, Stephen
Reis, Timo
Mehrmann, Volker
Ilchmann, Achim
Herausgeber: Stephen Campbell/Achim Ilchmann/Volker Mehrmann et al
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Differential-Algebraic Equations Forum
Maße: 235 x 155 x 18 mm
Von/Mit: Stephen Campbell (u. a.)
Erscheinungsdatum: 24.06.2019
Gewicht: 0,499 kg
Artikel-ID: 114694609
Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Differential-Algebraic Equations Forum
Inhalt: vii
320 S.
36 s/w Illustr.
64 farbige Illustr.
320 p. 100 illus.
64 illus. in color.
ISBN-13: 9783030037178
ISBN-10: 3030037177
Sprache: Englisch
Herstellernummer: 978-3-030-03717-8
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Campbell, Stephen
Ilchmann, Achim
Mehrmann, Volker
Reis, Timo
Redaktion: Campbell, Stephen
Reis, Timo
Mehrmann, Volker
Ilchmann, Achim
Herausgeber: Stephen Campbell/Achim Ilchmann/Volker Mehrmann et al
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Differential-Algebraic Equations Forum
Maße: 235 x 155 x 18 mm
Von/Mit: Stephen Campbell (u. a.)
Erscheinungsdatum: 24.06.2019
Gewicht: 0,499 kg
Artikel-ID: 114694609
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