Surveys In Differential Algebraic Equations Ii

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Surveys in Differential-Algebraic Equations III

Author : Achim Ilchmann
Publisher : Springer
ISBN 13 : 331922428X
Total Pages : 313 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 313 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 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 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:

Surveys in Differential-Algebraic Equations IV

Author : Achim Ilchmann
Publisher : Springer
ISBN 13 : 3319466186
Total Pages : 305 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 305 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.

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.

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.

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.

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.

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

Author : Peter Benner
Publisher : Springer
ISBN 13 : 3319152602
Total Pages : 608 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 608 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.

Algebraic and Symbolic Computation Methods in Dynamical Systems

Author : Alban Quadrat
Publisher : Springer Nature
ISBN 13 : 3030383563
Total Pages : 320 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Algebraic and Symbolic Computation Methods in Dynamical Systems by : Alban Quadrat

Download or read book Algebraic and Symbolic Computation Methods in Dynamical Systems written by Alban Quadrat and published by Springer Nature. This book was released on 2020-05-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.

Switch Observability for Differential-Algebraic Systems.

Author : Ferdinand Küsters
Publisher : BoD – Books on Demand
ISBN 13 : 3839613744
Total Pages : 217 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Switch Observability for Differential-Algebraic Systems. by : Ferdinand Küsters

Download or read book Switch Observability for Differential-Algebraic Systems. written by Ferdinand Küsters and published by BoD – Books on Demand. This book was released on 2022-09-07 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Switch observability is a new observability concept for switched systems with unknown switching signals that is useful in the context of fault detection and identification. This notion, as well as the related concepts of switching signal observability and switching time observability, are investigated and fully characterized both for switched ODEs and switched DAEs. Switch observability is particularly useful in the context of fault detection and identification. A corresponding observer is designed. Also, the new concepts are applied to some power network example in order to highlight their use.

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.

Lie Groups, Differential Equations, and Geometry

Author : Giovanni Falcone
Publisher : Springer
ISBN 13 : 3319621815
Total Pages : 361 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Lie Groups, Differential Equations, and Geometry by : Giovanni Falcone

Download or read book Lie Groups, Differential Equations, and Geometry written by Giovanni Falcone and published by Springer. This book was released on 2017-09-19 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.

Partial Differential Equations II

Author : Michael E. Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 1441970525
Total Pages : 634 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Partial Differential Equations II by : Michael E. Taylor

Download or read book Partial Differential Equations II written by Michael E. Taylor and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.

Solving Ordinary Differential Equations II

Author : Hairier
Publisher :
ISBN 13 : 9780387604527
Total Pages : pages
Book Rating : 4.6/5 (45 download)

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Book Synopsis Solving Ordinary Differential Equations II by : Hairier

Download or read book Solving Ordinary Differential Equations II written by Hairier and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Ordinary Differential Equations II

Author : Ernst Hairer
Publisher : Springer Science & Business Media
ISBN 13 : 3662099470
Total Pages : 615 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Solving Ordinary Differential Equations II by : Ernst Hairer

Download or read book Solving Ordinary Differential Equations II written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete.

Road and Off-Road Vehicle System Dynamics Handbook

Author : Gianpiero Mastinu
Publisher : CRC Press
ISBN 13 : 0849333229
Total Pages : 1710 pages
Book Rating : 4.8/5 (493 download)

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Book Synopsis Road and Off-Road Vehicle System Dynamics Handbook by : Gianpiero Mastinu

Download or read book Road and Off-Road Vehicle System Dynamics Handbook written by Gianpiero Mastinu and published by CRC Press. This book was released on 2014-01-06 with total page 1710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring contributions from leading experts, the Road and Off-Road Vehicle System Dynamics Handbook provides comprehensive, authoritative coverage of all the major issues involved in road vehicle dynamic behavior. While the focus is on automobiles, this book also highlights motorcycles, heavy commercial vehicles, and off-road vehicles. The authors of the individual chapters, both from automotive industry and universities, address basic issues, but also include references to significant papers for further reading. Thus the handbook is devoted both to the beginner, wishing to acquire basic knowledge on a specific topic, and to the experienced engineer or scientist, wishing to have up-to-date information on a particular subject. It can also be used as a textbook for master courses at universities. The handbook begins with a short history of road and off-road vehicle dynamics followed by detailed, state-of-the-art chapters on modeling, analysis and optimization in vehicle system dynamics, vehicle concepts and aerodynamics, pneumatic tires and contact wheel-road/off-road, modeling vehicle subsystems, vehicle dynamics and active safety, man-vehicle interaction, intelligent vehicle systems, and road accident reconstruction and passive safety. Provides extensive coverage of modeling, simulation, and analysis techniques Surveys all vehicle subsystems from a vehicle dynamics point of view Focuses on pneumatic tires and contact wheel-road/off-road Discusses intelligent vehicle systems technologies and active safety Considers safety factors and accident reconstruction procedures Includes chapters written by leading experts from all over the world This text provides an applicable source of information for all people interested in a deeper understanding of road vehicle dynamics and related problems.