Approximation Of Nonlinear Evolution Systems
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Approximation Of Nonlinear Evolution Systems
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Author : Jerome
language : en
Publisher: Academic Press
Release Date : 1983-04-22
Approximation Of Nonlinear Evolution Systems written by Jerome and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-04-22 with Computers categories.
Approximation of Nonlinear Evolution Systems
Nonlinear Evolution Equations
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Author : Nina B. Maslova
language : en
Publisher: World Scientific
Release Date : 1993
Nonlinear Evolution Equations written by Nina B. Maslova and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The book is devoted to the questions of the long-time behavior of solutions for evolution equations, connected with kinetic models in statistical physics. There is a wide variety of problems where such models are used to obtain reasonable physical as well as numerical results (Fluid Mechanics, Gas Dynamics, Plasma Physics, Nuclear Physics, Turbulence Theory etc.). The classical examples provide the nonlinear Boltzmann equation. Investigation of the long-time behavior of the solutions for the Boltzmann equation gives an approach to the nonlinear fluid dynamic equations. From the viewpoint of dynamical systems, the fluid dynamic equations arise in the theory as a tool to describe an attractor of the kinetic equation.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Phase Transitions And Hysteresis
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Author : Augusto Visintin
language : en
Publisher: Springer
Release Date : 2006-11-15
Phase Transitions And Hysteresis written by Augusto Visintin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.
An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems
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Author : H. T. Banks
language : en
Publisher:
Release Date : 1988
An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems written by H. T. Banks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators(satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified)are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original infinite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato approximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed. Keywords: Nonlinear distributed systems; Numerical analysis; Inverse problems; Approximation. (jhd).
Theory Of Difference Equations Numerical Methods And Applications By V Lakshmikantham And D Trigiante
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Author : Lakshmikantham
language : en
Publisher: Elsevier
Release Date : 1988-05-01
Theory Of Difference Equations Numerical Methods And Applications By V Lakshmikantham And D Trigiante written by Lakshmikantham and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-05-01 with Technology & Engineering categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Analysis Of Charge Transport
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Author : Joseph W. Jerome
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis Of Charge Transport written by Joseph W. Jerome and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book addresses the mathematical aspects of semiconductor modeling, with particular attention focused on the drift-diffusion model. The aim is to provide a rigorous basis for those models which are actually employed in practice, and to analyze the approximation properties of discretization procedures. The book is intended for applied and computational mathematicians, and for mathematically literate engineers, who wish to gain an understanding of the mathematical framework that is pertinent to device modeling. The latter audience will welcome the introduction of hydrodynamic and energy transport models in Chap. 3. Solutions of the nonlinear steady-state systems are analyzed as the fixed points of a mapping T, or better, a family of such mappings, distinguished by system decoupling. Significant attention is paid to questions related to the mathematical properties of this mapping, termed the Gummel map. Compu tational aspects of this fixed point mapping for analysis of discretizations are discussed as well. We present a novel nonlinear approximation theory, termed the Kras nosel'skii operator calculus, which we develop in Chap. 6 as an appropriate extension of the Babuska-Aziz inf-sup linear saddle point theory. It is shown in Chap. 5 how this applies to the semiconductor model. We also present in Chap. 4 a thorough study of various realizations of the Gummel map, which includes non-uniformly elliptic systems and variational inequalities. In Chap.
A Variational Inequality Approach To Free Boundary Problems With Applications In Mould Filling
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Author : Jörg Steinbach
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
A Variational Inequality Approach To Free Boundary Problems With Applications In Mould Filling written by Jörg Steinbach and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Since the early 1960s, the mathematical theory of variational inequalities has been under rapid development, based on complex analysis and strongly influenced by 'real-life' application. Many, but of course not all, moving free (Le. , a priori un known) boundary problems originating from engineering and economic applica tions can directly, or after a transformation, be formulated as variational inequal ities. In this work we investigate an evolutionary variational inequality with a memory term which is, as a fixed domain formulation, the result of the application of such a transformation to a degenerate moving free boundary problem. This study includes mathematical modelling, existence, uniqueness and regularity results, numerical analysis of finite element and finite volume approximations, as well as numerical simulation results for applications in polymer processing. Essential parts of these research notes were developed during my work at the Chair of Applied Mathematics (LAM) of the Technical University Munich. I would like to express my sincerest gratitude to K. -H. Hoffmann, the head of this chair and the present scientific director of the Center of Advanced European Studies and Research (caesar), for his encouragement and support. With this work I am fol lowing a general concept of Applied Mathematics to which he directed my interest and which, based on application problems, comprises mathematical modelling, mathematical and numerical analysis, computational aspects and visualization of simulation results.
Differential Equations And Mathematical Physics Proceedings Of The International Conference Held At The University Of Alabama At Birmingham March 15 21 1990
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Author : Bennewitz
language : en
Publisher: Academic Press
Release Date : 1991-08-16
Differential Equations And Mathematical Physics Proceedings Of The International Conference Held At The University Of Alabama At Birmingham March 15 21 1990 written by Bennewitz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-16 with Computers categories.
Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990
Partial Differential Equations And The Calculus Of Variations
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Author : COLOMBINI
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Partial Differential Equations And The Calculus Of Variations written by COLOMBINI and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
The Italian school of Mathematical Analysis has long and glo rious traditions. In the last thirty years it owes very much to the scientific pre-eminence of Ennio De Giorgi, Professor of Mathemati cal Analysis at the Scuola Normale Superiore di Pisa. His fundamental theorems in Calculus of Variations, in Minimal Surfaces Theory, in Partial Differential Equations, in Axiomatic Set Theory as well as the fertility of his mind to discover both general mathematical structures and techniques which frame many different problems, and profound and meaningful examples which show the limits of a theory and give origin to new results and theories, makes him an absolute reference point for all Italian mathematicians, and a well-known and valued personage in the international mathematical world. We have been students of Ennio de Giorgi. Now, we are glad to present to him, together with all his collegues, friends and former students, these Essays of Mathematical Analysis written in his hon our on the occasion of his sixtieth birthday (February 8th, 1988), with our best wishes and our thanks for all he gave in the past and will give us in the future. We have added to the research papers of this book the text of a conversation with Ennio De Giorgi about the diffusion and the communication of science and, in particular, of Mathematics.