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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.

Binding : Audio CD, Label : Inside Out (SPV), Publisher : Inside Out (SPV), NumberOfDiscs : 2, PackageQuantity : 1, Format : Doppel-CD, medium : Audio CD, releaseDate : 2004-05-24, artists : Ayreon

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.

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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.

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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.

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This research monograph presents results to researchers in stochastic calculus forward and backward stochastic differential equations connections between diffusion processes and second order partial differential equations (PDEs) and financial mathematics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assumptions and also extends those results to equations with multivalued coefficients. The authors present in particular the theory of reflected SDEs in the above mentioned framework and include exercises at the end of each chapter. Stochastic calculus and stochastic differential equations (SDEs) were first introduced by K. Itô in the 1940s in order to construct the path of diffusion processes (which are continuous time Markov processes with continuous trajectories taking their values in a finite dimensional vector space or manifold) which had been studied from a more analytic point of view by Kolmogorov in the 1930s. Since then this topic has become an important subject of Mathematics and Applied Mathematics because of its mathematical richness and its importance for applications in many areas of Physics Biology Economics and Finance where random processes play an increasingly important role. One important aspect is the connection between diffusion processes and linear partial differential equations of second order which is in particular the basis for Monte Carlo numerical methods for linear PDEs. Since the pioneering work of Peng and Pardoux in the early 1990s a new type of SDEs called backward stochastic differential equations (BSDEs) has emerged. The two main reasons why this new class of equations is important are the connection between BSDEs and semilinear PDEs and the fact that BSDEs constitute a natural generalization of the famous Black and Scholes model from Mathematical Finance and thus offer a natural mathematical framework for the formulation of many new models in Finance.

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This useful collection provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic numeric and symbolic-numeric techniques including effective and algorithmic methods in algebraic geometry and computational algebra complexity issues and a range of applications. Graduate students as well as researchers in related areas will find an excellent introduction to currently interesting topics.

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Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory symbolic and numerical methods which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances analytical contributions computational techniques and illustrative examples of the application of current results drawn from biology physics mechanics and control theory. Students engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.

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The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights.

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This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community who present important research works in the field of mathematical analysis and related subjects particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories methods and problems in approximation theory analytic inequalities functional analysis computational algebra and applications. The notion of stability of functional equations has its origins with S. M. Ulam who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers Th. M. Rassias who provided the first significant solutions for additive and linear mappings in 1941 and 1978 respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature. The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids the linear and polynomial functional equations in a single variable the Drygas functional equation on amenable semigroups monomial functional equation the Cauchy-Jensen type mappings differential equations and differential operators operational equations and inclusions generalized module left higher derivations selections of set-valued mappings D'Alembert's functional equation characterizations of information measures functional equations in restricted domains as well as generalized functional stability and fixed point theory.

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This book presents recent recent results in the Ulam stability problem which was first posed in 1941 and which remains an expanding area of research for various classes of equations. The text offers applications to geometry physics and applied mathematics.

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