Surveys In Differential Algebraic Equations Iii

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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 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.

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 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.

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.

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.

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.

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.

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.

Partial Differential Equations in Physics

Author : Arnold Sommerfeld
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (984 download)

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Book Synopsis Partial Differential Equations in Physics by : Arnold Sommerfeld

Download or read book Partial Differential Equations in Physics written by Arnold Sommerfeld and published by . This book was released on 1950 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Differential Algebra and Related Topics

Author : Li Guo
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 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 2002-05-30 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. Contents:The Ritt–Kolchin Theory for Differential Polynomials (W Y Sit)Differential Schemes (J J Kovacic)Differential Algebra — A Scheme Theory Approach (H Gillet)Model Theory and Differential Algebra (T Scanlon)Inverse Differential Galois Theory (A R Magid)Differential Galois Theory, Universal Rings and Universal Groups (M van der Put)Cyclic Vectors (R C Churchill & J J Kovacic)Differential Algebraic Techniques in Hamiltonian Mechanics (R C Churchill)Moving Frames and Differential Algebra (E L Mansfield)Baxter Algebras and Differential Algebras (L Guo) Readership: Graduate students, pure mathematicians, logicians, algebraic geometers, applied mathematicians and physicists. Keywords:Differential Algebra;Mathematical Logic;Algebraic Geometry;Mathematical Physics

Partial Differential Relations

Author : Misha Gromov
Publisher : Springer Science & Business Media
ISBN 13 : 3662022672
Total Pages : 372 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Partial Differential Relations by : Misha Gromov

Download or read book Partial Differential Relations written by Misha Gromov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an equation, are very rare in the space of all admissible functions (regardless of a particular topology in a function space). Moreover, some additional (like initial or boundary) conditions often insure the uniqueness of solutions. The existence of these is usually established with some apriori estimates which locate a possible solution in a given function space. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics. Our equations are, for the most part, undetermined (or, at least, behave like those) and their solutions are rather dense in spaces of functions. We solve and classify solutions of these equations by means of direct (and not so direct) geometric constructions. Our exposition is elementary and the proofs of the basic results are selfcontained. However, there is a number of examples and exercises (of variable difficulty), where the treatment of a particular equation requires a certain knowledge of pertinent facts in the surrounding field. The techniques we employ, though quite general, do not cover all geometrically interesting equations. The border of the unexplored territory is marked by a number of open questions throughout the book.

Analytic, Algebraic and Geometric Aspects of Differential Equations

Author : Galina Filipuk
Publisher : Birkhäuser
ISBN 13 : 3319528424
Total Pages : 471 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Analytic, Algebraic and Geometric Aspects of Differential Equations by : Galina Filipuk

Download or read book Analytic, Algebraic and Geometric Aspects of Differential Equations written by Galina Filipuk and published by Birkhäuser. This book was released on 2017-06-23 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.

Galois Theory of Linear Differential Equations

Author : Marius van der Put
Publisher : Springer Science & Business Media
ISBN 13 : 3642557503
Total Pages : 438 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Galois Theory of Linear Differential Equations by : Marius van der Put

Download or read book Galois Theory of Linear Differential Equations written by Marius van der Put and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews

Linear Time-Invariant Systems, Behaviors and Modules

Author : Ulrich Oberst
Publisher : Springer Nature
ISBN 13 : 3030439364
Total Pages : 757 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Linear Time-Invariant Systems, Behaviors and Modules by : Ulrich Oberst

Download or read book Linear Time-Invariant Systems, Behaviors and Modules written by Ulrich Oberst and published by Springer Nature. This book was released on 2020-06-27 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book.