Analyse Asymptotique de Systèmes D'évolution Et Applications en Optimisation PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Analyse Asymptotique de Systèmes D'évolution Et Applications en Optimisation PDF full book. Access full book title Analyse Asymptotique de Systèmes D'évolution Et Applications en Optimisation by Juan Peypouquet. Download full books in PDF and EPUB format.
Author: Juan Peypouquet
Publisher:
ISBN:
Category :
Languages : en
Pages : 228
Get Book Here
Book Description
Cette thèse doctorale comprend deux parties: 1) Equations d'évolution: Discretisation, perturbation et analyse asymptotique. 2) Analyse asymptotique de systèmes d'évolution non autonomes. Dans la première partie on présente le cadre théorique concernant les inclusions différentielles définies par des opérateurs m-accretifs dans les espaces de Banach et quelques discretisations (implicite, explicite). Les résultats classiques d'existence et comportement asymptotique des solutions sont démontrés. On a regroupé, dans un petit manuel assez concis, une partie importante de l'immense literature sur le sujet. Dans la deuxième partie de la thèse on étudie le comportement global et asymptotique de quelques systèmes dynamiques non autonomes ainsi que des relations entre eux. L'idée centrale est le dévelopement d'un critère permettant de déduire des proprietés asymptotiques de systèmes d'évolution (algoritmes, inclusions différentielles, etc) en étudiant le comportement d'un autre système.
Author: Juan Peypouquet
Publisher:
ISBN:
Category :
Languages : en
Pages : 228
Get Book Here
Book Description
Cette thèse doctorale comprend deux parties: 1) Equations d'évolution: Discretisation, perturbation et analyse asymptotique. 2) Analyse asymptotique de systèmes d'évolution non autonomes. Dans la première partie on présente le cadre théorique concernant les inclusions différentielles définies par des opérateurs m-accretifs dans les espaces de Banach et quelques discretisations (implicite, explicite). Les résultats classiques d'existence et comportement asymptotique des solutions sont démontrés. On a regroupé, dans un petit manuel assez concis, une partie importante de l'immense literature sur le sujet. Dans la deuxième partie de la thèse on étudie le comportement global et asymptotique de quelques systèmes dynamiques non autonomes ainsi que des relations entre eux. L'idée centrale est le dévelopement d'un critère permettant de déduire des proprietés asymptotiques de systèmes d'évolution (algoritmes, inclusions différentielles, etc) en étudiant le comportement d'un autre système.
Author: Roland Glowinski
Publisher: Springer Science & Business Media
ISBN: 3662126133
Category : Science
Languages : en
Pages : 506
Get Book Here
Book Description
This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.
Author: Habib Ammari
Publisher: Springer Science & Business Media
ISBN: 3540795537
Category : Medical
Languages : en
Pages : 198
Get Book Here
Book Description
Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.
Author: Weijiu Liu
Publisher: Springer Science & Business Media
ISBN: 3642046134
Category : Mathematics
Languages : en
Pages : 303
Get Book Here
Book Description
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512475
Category : Mathematics
Languages : en
Pages : 502
Get Book Here
Book Description
Author: Marius Tucsnak
Publisher: Springer Science & Business Media
ISBN: 3764389931
Category : Mathematics
Languages : en
Pages : 488
Get Book Here
Book Description
This book studies observation and control operators for linear systems where the free evolution of the state can be described by an operator semigroup on a Hilbert space. It includes a large number of examples coming mostly from partial differential equations.
Author: Amir Dembo
Publisher: Springer Science & Business Media
ISBN: 3642033113
Category : Science
Languages : en
Pages : 409
Get Book Here
Book Description
Large deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. Amir Dembo and Ofer Zeitouni, two of the leading researchers in the field, provide an introduction to the theory of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide range of areas, including electrical engineering and DNA sequences. The second edition, printed in 1998, included new material on concentration inequalities and the metric and weak convergence approaches to large deviations. General statements and applications were sharpened, new exercises added, and the bibliography updated. The present soft cover edition is a corrected printing of the 1998 edition.
Author: Richard.S. Ellis
Publisher: Springer Science & Business Media
ISBN: 1461385334
Category : Science
Languages : en
Pages : 372
Get Book Here
Book Description
This book has two main topics: large deviations and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems. An elementary example is the weak law of large numbers. For each positive e, P{ISn/nl 2: e} con verges to zero as n --+ 00, where Sn is the nth partial sum of indepen dent identically distributed random variables with zero mean. Large deviation theory shows that if the random variables are exponentially bounded, then the probabilities converge to zero exponentially fast as n --+ 00. The exponen tial decay allows one to prove the stronger property of almost sure conver gence (Sn/n --+ 0 a.s.). This example will be generalized extensively in the book. We will treat a large class of stochastic systems which involve both indepen dent and dependent random variables and which have the following features: probabilities converge to zero exponentially fast as the size of the system increases; the exponential decay leads to strong convergence properties of the system. The most fascinating aspect of the theory is that the exponential decay rates are computable in terms of entropy functions. This identification between entropy and decay rates of large deviation probabilities enhances the theory significantly.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : it
Pages : 802
Get Book Here
Book Description
Author: Alain Bensoussan
Publisher: Bordas Editions
ISBN:
Category : Calculus of variations
Languages : en
Pages : 712
Get Book Here
Book Description
"The general aim of this book is to establish and study the relations that exist, via dynamic programming, between, on the one hand, stochastic control, and on the other hand variational and quasi-variational inequalities, with the intention of obtaining constructive methods of solution by numerical methods. It begins with numerous examples which occur in applications and goes on to study, from an analytical viewpoint, both elliptic and parabolic quasi-variational inequalities. Finally the authors reconstruct an optimal control starting from the solution of the quasi-variational inequality."--Amazon.
