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Progress in Differential-Algebraic Equations II (Paperback, 1st ed. 2020): Timo Reis, Sara Grundel, Sebastian Schoeps Progress in Differential-Algebraic Equations II (Paperback, 1st ed. 2020)
Timo Reis, Sara Grundel, Sebastian Schoeps
R3,021 Discovery Miles 30 210 Ships in 10 - 15 working days

This book contains articles presented at the 9th Workshop on Differential-Algebraic Equations held in Paderborn, Germany, from 17-20 March 2019. The workshop brought together more than 40 mathematicians and engineers from various fields, such as numerical and functional analysis, control theory, mechanics and electromagnetic field theory. The participants focussed on the theoretical and numerical treatment of "descriptor" systems, i.e., differential-algebraic equations (DAEs). The book contains 14 contributions and is organized into four parts: mathematical analysis, numerics and model order reduction, control as well as applications. It is a useful resource for applied mathematicians with interest in recent developments in the field of differential algebraic equations but also for engineers, in particular those interested in modelling of constraint mechanical systems, thermal networks or electric circuits.

Surveys in Differential-Algebraic Equations IV (Paperback, 1st ed. 2017): Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations IV (Paperback, 1st ed. 2017)
Achim Ilchmann, Timo Reis
R2,479 Discovery Miles 24 790 Ships in 10 - 15 working days

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - History of DAEs - DAE aspects of mechanical multibody systems - Model reduction of DAEs - Observability for DAEs - Numerical Analysis for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Surveys in Differential-Algebraic Equations III (Paperback, 1st ed. 2015): Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations III (Paperback, 1st ed. 2015)
Achim Ilchmann, Timo Reis
R1,603 Discovery Miles 16 030 Ships in 10 - 15 working days

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Flexibility of DAE formulations - Reachability analysis and deterministic global optimization - Numerical linear algebra methods - Boundary value problems The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Surveys in Differential-Algebraic Equations II (Paperback, 2015 ed.): Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations II (Paperback, 2015 ed.)
Achim Ilchmann, Timo Reis
R1,574 Discovery Miles 15 740 Ships in 10 - 15 working days

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Observers for DAEs - DAEs in chemical processes - Optimal control of DAEs - DAEs from a functional-analytic viewpoint - Algebraic methods for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Surveys in Differential-Algebraic Equations I (Paperback, 2013 ed.): Achim Ilchmann, Timo Reis Surveys in Differential-Algebraic Equations I (Paperback, 2013 ed.)
Achim Ilchmann, Timo Reis
R2,244 Discovery Miles 22 440 Ships in 10 - 15 working days

The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks. As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in - Controllability for linear DAEs - Port-Hamiltonian differential-algebraic systems - Robustness of DAEs - Solution concepts for DAEs - DAEs in circuit modeling. The results in the individual chapters are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Applications of Differential-Algebraic Equations: Examples and Benchmarks (Paperback, 1st ed. 2019): Stephen Campbell, Achim... Applications of Differential-Algebraic Equations: Examples and Benchmarks (Paperback, 1st ed. 2019)
Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis
R2,459 Discovery Miles 24 590 Ships in 10 - 15 working days

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.

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