Applications of Differential-Algebraic Equations: Examples and Benchmarks için kapak resmi
Applications of Differential-Algebraic Equations: Examples and Benchmarks
Başlık:
Applications of Differential-Algebraic Equations: Examples and Benchmarks
Yazar:
Campbell, Stephen. editor.
ISBN:
9783030037185
Edisyon:
1st ed. 2019.
Fiziksel Niteleme:
VII, 320 p. 100 illus., 64 illus. in color. online resource.
Seri:
Differential-Algebraic Equations Forum,
İçindekiler:
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.
Özet:
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.