Perturbations Singulieres dans les Problemes aux Limites et en Controle Optimal PDF Download

Author: J. L. Lions
Publisher: Springer
ISBN: 3540400095
Category : Mathematics
Languages : fr
Pages : 657

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Author: J.Frederic Bonnans
Publisher: Springer Science & Business Media
ISBN: 1461213940
Category : Mathematics
Languages : en
Pages : 618

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Book Description
A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is thus an opportunity for popularizing these techniques among researchers involved in other sciences, including users of optimization in a wide sense, in mechanics, physics, statistics, finance and economics. Of use to research professionals, including graduate students at an advanced level.

Author: B. J. Kirby
Publisher: Springer Science & Business Media
ISBN: 3662015692
Category : Mathematics
Languages : en
Pages : 435

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Book Description
This work (in two parts), Lecture Notes in Economics and Mathe matical Systems, Volume 105 and 106, constitutes the Proceedings of the Fourteenth Biennual Seminar of the Canadian Mathematical Congress, which was held from August 12 to August 25, 1973 at the University of Western Ontario, London, Ontario. The Canadian Mathematical Congr~ss has held Biennual Seminars since 1947, and these have covered a wide range of topics. The Seminar reported in this publication was concerned with "Optimal Control Theory and its Applications", a subject chosen for its active ~rowth and its wide implications for other fields. Both these aspects are exemplified in these Proceedings. Some lectures provided excellent surveys of particular fields whereas others concentrated on the presentation of new results. There were six distinguished Principal Lecturers: H.T. Banks, A.R. Dobell, H. Halkin, J.L. Lions, R.M. Thrall and W.M. Wonham, all of whom gave five to ten lectures during the two weeks of the Seminar. Except for Dr. Dobell's, these will all be found in Volume 105. Besides the Principal Lecturers there were three Guest Lecturers: M.C. Delfour, V. Jurdjevic and S.P. Sethi, who presented substantial bodies of material in two or three lectures and which are included in Volnme 106. Many of the participants also spoke and reports of most of these have also been included (Volume 106).

Author: C.M. Brauner
Publisher: Springer
ISBN: 3540373403
Category : Mathematics
Languages : en
Pages : 551

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Author: E.M. de Jager
Publisher: Elsevier
ISBN: 0080542751
Category : Mathematics
Languages : en
Pages : 353

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The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed.The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Gåding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises.

Author: Robert E. Jr. O'Malley
Publisher: Elsevier
ISBN: 0323162274
Category : Mathematics
Languages : en
Pages : 215

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Book Description
Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.

Author: M.D. Ardema
Publisher: Springer
ISBN: 370912638X
Category : Science
Languages : en
Pages : 337

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Author: Ferdinand Verhulst
Publisher: Springer Science & Business Media
ISBN: 0387283137
Category : Mathematics
Languages : en
Pages : 332

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Book Description
Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach

Author: R. Bulirsch
Publisher: Springer
ISBN: 3540375910
Category : Mathematics
Languages : en
Pages : 304

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Author: J. L. Lions
Publisher: SIAM
ISBN: 0898710049
Category : Mathematics
Languages : en
Pages : 98

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Book Description
Discusses a number of the more interesting areas in the application of the theory of Optimal Control of distributed parameters.