Surveys In Differential Algebraic Equations I

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Surveys in Differential-Algebraic Equations I

Author : Achim Ilchmann
Publisher : Springer Science & Business Media
ISBN 13 : 3642349285
Total Pages : 237 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Surveys in Differential-Algebraic Equations I by : Achim Ilchmann

Download or read book Surveys in Differential-Algebraic Equations I written by Achim Ilchmann and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Surveys in Differential-Algebraic Equations IV

Author : Achim Ilchmann
Publisher : Springer
ISBN 13 : 3319466186
Total Pages : 312 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Surveys in Differential-Algebraic Equations IV by : Achim Ilchmann

Download or read book Surveys in Differential-Algebraic Equations IV written by Achim Ilchmann and published by Springer. This book was released on 2017-03-08 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Achim Ilchmann
Publisher : Springer
ISBN 13 : 331922428X
Total Pages : 320 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Surveys in Differential-Algebraic Equations III by : Achim Ilchmann

Download or read book Surveys in Differential-Algebraic Equations III written by Achim Ilchmann and published by Springer. This book was released on 2015-10-29 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 I

Author : Achim Ilchmann
Publisher : Springer
ISBN 13 : 9783642349294
Total Pages : 231 pages
Book Rating : 4.3/5 (492 download)

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Book Synopsis Surveys in Differential-Algebraic Equations I by : Achim Ilchmann

Download or read book Surveys in Differential-Algebraic Equations I written by Achim Ilchmann and published by Springer. This book was released on 2013-03-27 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Surveys in Differential-Algebraic Equations II

Author : Achim Ilchmann
Publisher :
ISBN 13 : 9783319110516
Total Pages : 348 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Surveys in Differential-Algebraic Equations II by : Achim Ilchmann

Download or read book Surveys in Differential-Algebraic Equations II written by Achim Ilchmann and published by . This book was released on 2014-12-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential-algebraic Equations

Author : Peter Kunkel
Publisher : European Mathematical Society
ISBN 13 : 9783037190173
Total Pages : 396 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Differential-algebraic Equations by : Peter Kunkel

Download or read book Differential-algebraic Equations written by Peter Kunkel and published by European Mathematical Society. This book was released on 2006 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as mechanical multibody systems, electrical circuit simulation, chemical engineering, control theory, fluid dynamics and many others. This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge-Kutta and BDF methods) are discussed and analyzed with respect to convergence and order. A chapter is devoted to index reduction methods that allow the numerical treatment of general differential-algebraic equations. The analysis and numerical solution of boundary value problems for differential-algebraic equations is presented, including multiple shooting and collocation methods. A survey of current software packages for differential-algebraic equations completes the text. The book is addressed to graduate students and researchers in mathematics, engineering and sciences, as well as practitioners in industry. A prerequisite is a standard course on the numerical solution of ordinary differential equations. Numerous examples and exercises make the book suitable as a course textbook or for self-study.

Toward a Better Understanding of Differential Algebraic Equations

Author : Eberhard Griepentrog
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (122 download)

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Book Synopsis Toward a Better Understanding of Differential Algebraic Equations by : Eberhard Griepentrog

Download or read book Toward a Better Understanding of Differential Algebraic Equations written by Eberhard Griepentrog and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progress in Differential-Algebraic Equations II

Author : Timo Reis
Publisher : Springer Nature
ISBN 13 : 3030539059
Total Pages : 486 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Progress in Differential-Algebraic Equations II by : Timo Reis

Download or read book Progress in Differential-Algebraic Equations II written by Timo Reis and published by Springer Nature. This book was released on 2020-10-10 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Progress in Differential-Algebraic Equations

Author : Sebastian Schöps
Publisher : Springer
ISBN 13 : 3662449269
Total Pages : 211 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Progress in Differential-Algebraic Equations by : Sebastian Schöps

Download or read book Progress in Differential-Algebraic Equations written by Sebastian Schöps and published by Springer. This book was released on 2014-11-13 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 8th Workshop on Coupled Descriptor Systems held March 2013 in the Castle of Eringerfeld, Geseke in the neighborhood of Paderborn, Germany. It examines the wide range of current research topics in descriptor systems, including mathematical modeling, index analysis, wellposedness of problems, stiffness and different time-scales, cosimulation and splitting methods and convergence analysis. In addition, the book also presents applications from the automotive and circuit industries that show that descriptor systems provide challenging problems from the point of view of both theory and practice. The book contains nine papers and is organized into three parts: control, simulation, and model order reduction. It will serve as an ideal resource for applied mathematicians and engineers, in particular those from mechanics and electromagnetics, who work with coupled differential equations.

Applications of Differential-Algebraic Equations: Examples and Benchmarks

Author : Stephen Campbell
Publisher : Springer
ISBN 13 : 3030037185
Total Pages : 320 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Applications of Differential-Algebraic Equations: Examples and Benchmarks by : Stephen Campbell

Download or read book Applications of Differential-Algebraic Equations: Examples and Benchmarks written by Stephen Campbell and published by Springer. This book was released on 2019-06-08 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

Author : Peter Benner
Publisher : Springer
ISBN 13 : 3319152602
Total Pages : 635 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory by : Peter Benner

Download or read book Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory written by Peter Benner and published by Springer. This book was released on 2015-05-09 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics. This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III. Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

Differential-algebraic Equations from a Functional-analytic Viewpoint: A Survey

Author : Roswitha März
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Differential-algebraic Equations from a Functional-analytic Viewpoint: A Survey by : Roswitha März

Download or read book Differential-algebraic Equations from a Functional-analytic Viewpoint: A Survey written by Roswitha März and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups of Operators – Theory and Applications

Author : Jacek Banasiak
Publisher : Springer Nature
ISBN 13 : 3030460797
Total Pages : 446 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Semigroups of Operators – Theory and Applications by : Jacek Banasiak

Download or read book Semigroups of Operators – Theory and Applications written by Jacek Banasiak and published by Springer Nature. This book was released on 2020-06-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while Hille and Yosida’s fundamental generation theorem dates back to the forties. The theory was originally designed as a universal language for partial differential equations and stochastic processes but, at the same time, it started to become an independent branch of operator theory. Today, it still has the same distinctive character: it develops rapidly by posing new ‘internal’ questions and, in answering them, discovering new methods that can be used in applications. On the other hand, it is being influenced by questions from PDE’s and stochastic processes as well as from applied sciences such as mathematical biology and optimal control and, as a result, it continually gathers new momentum. However, many results, both from semigroup theory itself and the applied sciences, are phrased in discipline-specific languages and are hardly known to the broader community.

Boundary-value Problems for Differential-algebraic Equations: A Survey

Author : René Lamour
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Boundary-value Problems for Differential-algebraic Equations: A Survey by : René Lamour

Download or read book Boundary-value Problems for Differential-algebraic Equations: A Survey written by René Lamour and published by . This book was released on 2015 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Descriptor Systems of Integer and Fractional Orders

Author : Tadeusz Kaczorek
Publisher : Springer Nature
ISBN 13 : 3030724808
Total Pages : 252 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Descriptor Systems of Integer and Fractional Orders by : Tadeusz Kaczorek

Download or read book Descriptor Systems of Integer and Fractional Orders written by Tadeusz Kaczorek and published by Springer Nature. This book was released on 2021-04-13 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers some selected problems of the descriptor integer and fractional order positive continuous-time and discrete-time systems. The book consists of 3 chapters, 4 appendices and the list of references. Chapter 1 is devoted to descriptor integer order continuous-time and discrete-time linear systems. In Chapter 2, descriptor fractional order continuous-time and discrete-time linear systems are considered. Chapter 3 is devoted to the stability of descriptor continuous-time and discrete-time systems of integer and fractional orders. In Appendix A, extensions of the Cayley–Hamilton theorem for descriptor linear systems are given. Some methods for computation of the Drazin inverse are presented in Appendix B. In Appendix C, some basic definitions and theorems on Laplace transforms and Z-transforms are given. Some properties of the nilpotent matrices are given in Appendix D.

Differential Algebra and Related Topics

Author : Li Guo
Publisher : World Scientific
ISBN 13 : 9789810247034
Total Pages : 328 pages
Book Rating : 4.2/5 (47 download)

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Book Synopsis Differential Algebra and Related Topics by : Li Guo

Download or read book Differential Algebra and Related Topics written by Li Guo and published by World Scientific. This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential algebra explores properties of solutions of systems of (ordinary or partial, linear or non-linear) differential equations from an algebraic point of view. It includes as special cases algebraic systems as well as differential systems with algebraic constraints. This algebraic theory of Joseph F Ritt and Ellis R Kolchin is further enriched by its interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra now plays an important role in computational methods such as symbolic integration and symmetry analysis of differential equations. These proceedings consist of tutorial and survey papers presented at the Second International Workshop on Differential Algebra and Related Topics at Rutgers University, Newark in April 2007. As a sequel to the proceedings of the First International Workshop, this volume covers more related subjects, and provides a modern and introductory treatment to many facets of differential algebra, including surveys of known results, open problems, and new, emerging, directions of research. It is therefore an excellent companion and reference text for graduate students and researchers.

Differential Algebra And Related Topics - Proceedings Of The International Workshop

Author : Phyllis J Cassidy
Publisher : World Scientific
ISBN 13 : 9814490504
Total Pages : 320 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Differential Algebra And Related Topics - Proceedings Of The International Workshop by : Phyllis J Cassidy

Download or read book Differential Algebra And Related Topics - Proceedings Of The International Workshop written by Phyllis J Cassidy and published by World Scientific. This book was released on 2002-05-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential algebra explores properties of solutions to systems of (ordinary or partial, linear or nonlinear) differential equations from an algebraic point of view. It includes as special cases algebraic systems as well as differential systems with algebraic constraints. This algebraic theory of Joseph F Ritt and Ellis R Kolchin is further enriched by its interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra now plays an important role in computational methods such as symbolic integration, and symmetry analysis of differential equations. This volume includes tutorial and survey papers presented at workshop.