Applications of Differential-Algebraic Equations: Examples and Benchmarks

Herausgegeben:Campbell, Stephen; Ilchmann, Achim; Mehrmann, Volker; Reis, Timo

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Differential-Algebraic Equations Forum
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-030-03717-8
• 1st ed. 2019
• Seitenzahl: 328
• Erscheinungstermin: 24. Juni 2019
• Englisch
• Abmessung: 235mm x 155mm x 18mm
• Gewicht: 510g
• ISBN-13: 9783030037178
• ISBN-10: 3030037177
• Artikelnr.: 54145641

Inhaltsangabe

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.

Rezensionen

"The book can be of special interest to mathematicians, STEM students, and engineers working in multidisciplinary industry settings where the insight provided by differential-algebraic equations can be determinant in decision making." (Andrzej Sokolowski, MAA Reviews, August 11, 2019)