Applications of Differential-Algebraic Equations: Examples and Benchmarks

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Applications of Differential-Algebraic Equations: Examples and Benchmarks

Differential calculus and equations Numerical analysis Mathematical modelling Maths for engineers

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Collection: Differential-Algebraic Equations Forum

Language: English

Published by: Springer

Published on: 8th June 2019

Format: LCP-protected ePub

Size: 30 Mb

ISBN: 9783030037185


Overview

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.

Target Audience

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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