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Applied shape optimization for fluids / par Mohammadi,, B. Publication : [S.l.] : Oxford University Press, USA, 2001 . 272 p. ; , Deals with shape optimization for fluids, with the equations needed for understanding them, and numerical simulations. Introduces tools of optimal shape design, such as automatic differentiation, approximate gradients, and automatic mesh refinement. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

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Asymptotic cones and functions in optimization and variational inequalities / par Auslender,, A. Publication : New York : Springer, 2003 . xii, 249 p. ; 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Geometric methods and applications : for computer science and engineering par Gallier, Jean. Publication : [S.l.] Springer 2011 . 698 p. , This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning.  This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics.   In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA.  The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers.  Reviews of first edition: "Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001) "...it will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001) 24 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Geometric problems on maxima and minima par Andreescu, Titu. Publication : Boston Birkhauser 2006 . 264 p. , Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers,professional mathematicians, and puzzle en 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Interior point methods for linear optimization / par Roos, Cornelis. Publication : [S.l.] : Springer, 2005 . 497 p. ; , Interior Point Methods for Linear Optimization is a comprehensive, thorough textbook on interior point methods (IPMs). The era of IPMs was initiated by N. KarmarkarЀ™s 1984 paper, which triggered turbulent research and reshaped almost all areas of optimization theory and computational practice. This book gives a comprehensive review of the main results of more than a decade of IPM research. Numerous exercises are provided to aid in understanding the material. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Methods of nonlinear analysis applications to differential equations par Dràbek, Pavel Publication : Basel | Boston | Berlin Birkhäuser 2007 . 568 p. , In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Optimisation et contrôle stochastique appliqués à la finance / par Pham, Huyên. Publication : Berlin ; | New York : Springer, 2007 . 1 online resource (xv, 186 pages). Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Practical mathematical optimization : an introduction to basic optimization theory and classical and new gradient-based algorithms par Snyman, Jan A. Publication : New York Springer 2005 . xx, 257 pages 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Probabilistic Constrained Optimization Methodology and Applications par Uri͡asʹev,, S. P. Publication : Boston, MA Springer US 2000 . 1 online resource (xii, 307 pages). , Probabilistic and percentile/quantile functions play an important role in several applications, such as finance (Value-at-Risk), nuclear safety, and the environment. Recently, significant advances have been made in sensitivity analysis and optimization of probabilistic functions, which is the basis for construction of new efficient approaches. This book presents the state of the art in the theory of optimization of probabilistic functions and several engineering and finance applications, including material flow systems, production planning, Value-at-Risk, asset and liability management, and optimal trading strategies for financial derivatives (options). Audience: The book is a valuable source of information for faculty, students, researchers, and practitioners in financial engineering, operation research, optimization, computer science, and related areas. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Representation and control of infinite dimensional systems par Bensoussan, Alain. Publication : [S.l.] Birkhäuser 2007 . 604 p. , This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

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Semiconcave functions, hamilton-jacobi equations, and optimal control / par Cannarsa,, Piermarco. Publication : [S.l.] : Birkh�user Boston, . 318 p. ; , * A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field * A central role in the present work is reserved for the study of singularities * Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control systems. 26 cm. Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Tabu search / par Glover,, Fred W. Publication : [S.l.] : Springer, 1998 . 408 p. ; , This book explores the meta-heuristics approach called tabu search , which is dramatically changing our ability to solve a host of problems that stretch over the realms of resource planning, telecommunications, VLSI design, financial analysis, scheduling, space planning, energy distribution, molecular engineering, logistics, pattern classification, flexible manufacturing, waste management, mineral exploration, biomedical analysis, environmental conservation and scores of other problems. The major ideas of tabu search are presented with examples that show their relevance to multiple applications. Numerous illustrations and diagrams are used to clarify principles that deserve emphasis, and that have not always been well understood or applied. The book's goal is to provide `hands-on' knowledge and insight alike, rather than to focus exclusively either on computational recipes or on abstract themes. This book is designed to be useful and accessible to researchers and practitioners in management science, industrial engineering, economics, and computer science. It can appropriately be used as a textbook in a masters course or in a doctoral seminar. Because of its emphasis on presenting ideas through illustrations and diagrams, and on identifying associated practical applications, it can also be used as a supplementary text in upper division undergraduate courses. Finally, there are many more applications of tabu search than can possibly be covered in a single book, and new ones are emerging every day. The book's goal is to provide a grounding in the essential ideas of tabu search that will allow readers to create successful applications of their own. Along with the essential ideas, understanding of advanced issues is provided, enabling researchers to go beyond today's developments and create the methods of tomorrow. 24 cm. Date : 1998 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Juridiques, Economiques et de Gestion (1),

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Variation et optimisation de formes : une analyse gĐeomĐetrique / par Henrot,, Antoine, Publication : Berlin ; | New York : Springer, 2005 . xii, 333 p. : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Variational methods in some shape optimization problems par Bucur,, Dorin. Publication : [S.l.] Edizioni della Normale 2002 . 217 p. , The study of shape optimization problems is a very wide field, both classical, as the isoperimetric problem and Newton problem of the best aerodynamical shape show, and modern, for all the recent results obtained in the last two, three decades. The fascinating feature is that the competing objects are shapes, i.e. domains of Rn, instead of functions, as usually occurs in problems of calculus of variations. This constraint often produces additional difficulties that lead to a lack of existence of a solution and the introduction of suitable relaxed formulations of the problem. However, in a few cases an optimal solution exists, due to the special form of the cost functional and to the geometrical restriction on the class of competing domains. This volume collects the lecture notes of two courses given in the academic year 2000/01 by the authors at the University of Pisa and at the Scuola Normale Superiore respectively. The courses were mainly addressed to Ph. D. students and required a background in the topics in functional analysis that are usually taught in undergraduate courses. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Computational methods in optimization : a unified approach / par Polak, E. Publication : . 1 online resource (xvii, 329 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780125593502,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=77,

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