Systemes Dynamiques Discrets Non Reguliers Deterministes Ou Stochastiques Applications Aux Modeles Avec Frottement Ou Impact

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Systèmes dynamiques discrets non réguliers déterministes ou stochastiques : applications aux modèles avec frottement ou impact

Author : BASTIEN Jérôme
Publisher : Lavoisier
ISBN 13 : 2746289083
Total Pages : 546 pages
Book Rating : 4.7/5 (462 download)

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Book Synopsis Systèmes dynamiques discrets non réguliers déterministes ou stochastiques : applications aux modèles avec frottement ou impact by : BASTIEN Jérôme

Download or read book Systèmes dynamiques discrets non réguliers déterministes ou stochastiques : applications aux modèles avec frottement ou impact written by BASTIEN Jérôme and published by Lavoisier. This book was released on 2012-11-21 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage présente différents modèles discrets en dynamique pour la modélisation de phénomènes mécaniques non linéaires liés au frottement ou à l’impact. Les sollicitations sont exposées dans un cadre déterministe et stochastique. Pour ce dernier, le cas de variétés de configuration euclidienne ou riemannienne est abordé. La difficulté réside dans le type d’équations différentielles non linéaires particulières utilisées. Le cadre théorique ainsi que des schémas numériques sont détaillés pour chaque équation. Trois types de problèmes sont d’abord étudiés dans le cas particulier d’un solide à un degré de liberté : la force de frottement, la loi d’impact en déterministe et le frottement dans un cadre stochastique. Ensuite, de nombreux exemples sont commentés et fournissent, dans un cadre théorique ou applicatif, de nombreux modèles accompagnés de leurs schémas numériques. Des rappels théoriques fondamentaux sont proposés ainsi que deux preuves complètes de convergence de schémas numériques dans le cas du frottement déterministe ou stochastique.

Turbulence

Author : Uriel Frisch
Publisher : Cambridge University Press
ISBN 13 : 1139935976
Total Pages : 318 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Turbulence by : Uriel Frisch

Download or read book Turbulence written by Uriel Frisch and published by Cambridge University Press. This book was released on 1995-11-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.

A Parallel Finite Volume Algorithm for Large-eddy Simulation of Turbulent Flows

Author : Trong T. Bui
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Parallel Finite Volume Algorithm for Large-eddy Simulation of Turbulent Flows by : Trong T. Bui

Download or read book A Parallel Finite Volume Algorithm for Large-eddy Simulation of Turbulent Flows written by Trong T. Bui and published by . This book was released on 1998 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonsmooth Variational Problems and Their Inequalities

Author : Siegfried Carl
Publisher : Springer Science & Business Media
ISBN 13 : 038746252X
Total Pages : 404 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Nonsmooth Variational Problems and Their Inequalities by : Siegfried Carl

Download or read book Nonsmooth Variational Problems and Their Inequalities written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2007-06-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.

Stability and Convergence of Mechanical Systems with Unilateral Constraints

Author : Remco I. Leine
Publisher : Springer Science & Business Media
ISBN 13 : 3540769757
Total Pages : 241 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Stability and Convergence of Mechanical Systems with Unilateral Constraints by : Remco I. Leine

Download or read book Stability and Convergence of Mechanical Systems with Unilateral Constraints written by Remco I. Leine and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book will be of interest to those working in the field of non-smooth mechanics and dynamics.

Piecewise-smooth Dynamical Systems

Author : Mario Bernardo
Publisher : Springer Science & Business Media
ISBN 13 : 1846287081
Total Pages : 497 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Piecewise-smooth Dynamical Systems by : Mario Bernardo

Download or read book Piecewise-smooth Dynamical Systems written by Mario Bernardo and published by Springer Science & Business Media. This book was released on 2008-01-01 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.

The Linear Complementarity Problem

Author : Richard W. Cottle
Publisher : SIAM
ISBN 13 : 0898716861
Total Pages : 781 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Linear Complementarity Problem by : Richard W. Cottle

Download or read book The Linear Complementarity Problem written by Richard W. Cottle and published by SIAM. This book was released on 2009-08-27 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised edition of the standard reference on the linear complementarity problem.

Numerical Methods for Nonsmooth Dynamical Systems

Author : Vincent Acary
Publisher : Springer Science & Business Media
ISBN 13 : 3540753923
Total Pages : 529 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Numerical Methods for Nonsmooth Dynamical Systems by : Vincent Acary

Download or read book Numerical Methods for Nonsmooth Dynamical Systems written by Vincent Acary and published by Springer Science & Business Media. This book was released on 2008-01-30 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.

Matrix Mathematics

Author : Dennis S. Bernstein
Publisher : Princeton University Press
ISBN 13 : 9780691118024
Total Pages : 776 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Matrix Mathematics by : Dennis S. Bernstein

Download or read book Matrix Mathematics written by Dennis S. Bernstein and published by Princeton University Press. This book was released on 2005 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Mathematics is a reference work for users of matrices in all branches of engineering, science, and applied mathematics. This book brings together a vast body of results on matrix theory for easy reference and immediate application. Each chapter begins with the development of relevant background theory followed by a large collection of specialized results. Hundreds of identities, inequalities, and matrix facts are stated rigorously and clearly with cross references, citations to the literature, and illuminating remarks. Twelve chapters cover all of the major topics in matrix theory: preliminaries; basic matrix properties; matrix classes and transformations; matrix polynomials and rational transfer functions; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; norms; functions of matrices and their derivatives; the matrix exponential and stability theory; and linear systems and control theory. A detailed list of symbols, a summary of notation and conventions, an extensive bibliography with author index, and an extensive index are provided for ease of use. The book will be useful for students at both the undergraduate and graduate levels, as well as for researchers and practitioners in all branches of engineering, science, and applied mathematics.

Operations Research, Engineering, and Cyber Security

Author : Nicholas J. Daras
Publisher : Springer
ISBN 13 : 3319515004
Total Pages : 424 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Operations Research, Engineering, and Cyber Security by : Nicholas J. Daras

Download or read book Operations Research, Engineering, and Cyber Security written by Nicholas J. Daras and published by Springer. This book was released on 2017-03-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. Each paper evaluates possible solutions to long-standing problems such as the solvability of the direct electromagnetic scattering problem, geometric approaches to cyber security, ellipsoid targeting with overlap, non-equilibrium solutions of dynamic networks, measuring ballistic dispersion, elliptic regularity theory for the numerical solution of variational problems, approximation theory for polynomials on the real line and the unit circle, complementarity and variational inequalities in electronics, new two-slope parameterized achievement scalarizing functions for nonlinear multiobjective optimization, and strong and weak convexity of closed sets in a Hilbert space. /divGraduate students, scientists, engineers and researchers in pure and applied mathematical sciences, operations research, engineering, and cyber security will find the interdisciplinary scientific perspectives useful to their overall understanding and further research.

Unsolved Problems in Mathematical Systems and Control Theory

Author : Vincent D. Blondel
Publisher : Princeton University Press
ISBN 13 : 1400826152
Total Pages : 351 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Unsolved Problems in Mathematical Systems and Control Theory by : Vincent D. Blondel

Download or read book Unsolved Problems in Mathematical Systems and Control Theory written by Vincent D. Blondel and published by Princeton University Press. This book was released on 2009-04-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.

Nonsmooth Mechanics and Applications

Author : J.J. Moreau
Publisher : Springer
ISBN 13 : 370912624X
Total Pages : 466 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Nonsmooth Mechanics and Applications by : J.J. Moreau

Download or read book Nonsmooth Mechanics and Applications written by J.J. Moreau and published by Springer. This book was released on 2014-05-04 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

Author : Heinz H. Bauschke
Publisher : Springer Science & Business Media
ISBN 13 : 1441995692
Total Pages : 409 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Fixed-Point Algorithms for Inverse Problems in Science and Engineering by : Heinz H. Bauschke

Download or read book Fixed-Point Algorithms for Inverse Problems in Science and Engineering written by Heinz H. Bauschke and published by Springer Science & Business Media. This book was released on 2011-05-27 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.

Set-Valued Analysis

Author : Jean-Pierre Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 0817648488
Total Pages : 474 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Set-Valued Analysis by : Jean-Pierre Aubin

Download or read book Set-Valued Analysis written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "This book provides a thorough introduction to multivalued or set-valued analysis... The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math

Variational Analysis and Generalized Differentiation I

Author : Boris S. Mordukhovich
Publisher : Springer Science & Business Media
ISBN 13 : 3540312471
Total Pages : 598 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Variational Analysis and Generalized Differentiation I by : Boris S. Mordukhovich

Download or read book Variational Analysis and Generalized Differentiation I written by Boris S. Mordukhovich and published by Springer Science & Business Media. This book was released on 2006-08-08 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

Variational Analysis and Applications

Author : Boris S. Mordukhovich
Publisher : Springer
ISBN 13 : 3319927752
Total Pages : 636 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Variational Analysis and Applications by : Boris S. Mordukhovich

Download or read book Variational Analysis and Applications written by Boris S. Mordukhovich and published by Springer. This book was released on 2018-08-02 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research. The first half of the book (Chapters 1–6) gives a systematic exposition of key concepts and facts, containing basic material as well as some recent and new developments. These first chapters are particularly accessible to masters/doctoral students taking courses in modern optimization, variational analysis, applied analysis, variational inequalities, and variational methods. The reader’s development of skills will be facilitated as they work through each, or a portion of, the multitude of exercises of varying levels. Additionally, the reader may find hints and references to more difficult exercises and are encouraged to receive further inspiration from the gems in chapter commentaries. Chapters 7–10 focus on recent results and applications of variational analysis to advanced problems in modern optimization theory, including its hierarchical and multiobjective aspects, as well as microeconomics, and related areas. It will be of great use to researchers and professionals in applied and behavioral sciences and engineering.

Liapunov Functions and Stability in Control Theory

Author : Andrea Bacciotti
Publisher : Springer Science & Business Media
ISBN 13 : 9783540213321
Total Pages : 264 pages
Book Rating : 4.2/5 (133 download)

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Book Synopsis Liapunov Functions and Stability in Control Theory by : Andrea Bacciotti

Download or read book Liapunov Functions and Stability in Control Theory written by Andrea Bacciotti and published by Springer Science & Business Media. This book was released on 2005-04-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control. Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs. In the 2nd edition of this successful book several new sections were added and old sections have been improved, e.g., about the Zubovs method, Liapunov functions for discontinuous systems and cascaded systems. Many new examples, explanations and figures were added making this book accessible and well readable for engineers as well as mathematicians.