Méthodes mathématiques et numériques pour les équations aux dérivées partielles

Méthodes mathématiques et numériques pour les équations aux dérivées partielles PDF Author: CHASKALOVIC Joël
Publisher: Lavoisier
ISBN: 2743064803
Category :
Languages : en
Pages : 382

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Book Description
Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.

Méthodes mathématiques et numériques pour les équations aux dérivées partielles

Méthodes mathématiques et numériques pour les équations aux dérivées partielles PDF Author: CHASKALOVIC Joël
Publisher: Lavoisier
ISBN: 2743064803
Category :
Languages : en
Pages : 382

Get Book Here

Book Description
Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.

Optimisation en sciences de l'ingénieur : Méthodes exactes

Optimisation en sciences de l'ingénieur : Méthodes exactes PDF Author: BORNE Pierre
Publisher: Lavoisier
ISBN: 2746288974
Category :
Languages : en
Pages : 338

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Book Description
Optimisation en sciences de l’ingénieur présente les principales méthodes exactes d’optimisation statique et dynamique. Parmi les méthodes décrites, figurent : la programmation linéaire avec plusieurs implémentations et la programmation non linéaire, particulièrement détaillée compte tenu de la grande variété d’algorithmes existants ; la programmation dynamique avec divers exemples d’application ; les réseaux de Hopfield ; l’optimisation en identification des systèmes ; l’optimisation des systèmes dynamiques avec notamment l’application à la commande des processus, l’optimisation des systèmes de grandes dimensions et des systèmes d’information. Didactique, cet ouvrage propose des références permettant au lecteur d’approfondir les diverses méthodes traitées. Lorsque les algorithmes étudiés le permettent, sans trop agrandir les présentations, des exemples d’implémentation sont proposés.

Finite Element Methods for Engineering Sciences

Finite Element Methods for Engineering Sciences PDF Author: Joel Chaskalovic
Publisher: Springer Science & Business Media
ISBN: 3540763430
Category : Technology & Engineering
Languages : en
Pages : 261

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Book Description
This self-tutorial offers a concise yet thorough grounding in the mathematics necessary for successfully applying FEMs to practical problems in science and engineering. The unique approach first summarizes and outlines the finite-element mathematics in general and then, in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite-element methods instead of passively absorbing the material, as in most standard textbooks. The enlarged English-language edition, based on the original French, also contains a chapter on the approximation steps derived from the description of nature with differential equations and then applied to the specific model to be used. Furthermore, an introduction to tensor calculus using distribution theory offers further insight for readers with different mathematical backgrounds.

Variational Analysis in Sobolev and BV Spaces

Variational Analysis in Sobolev and BV Spaces PDF Author: Hedy Attouch
Publisher: SIAM
ISBN: 1611973481
Category : Mathematics
Languages : en
Pages : 794

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Book Description
This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision.

Electromagnetism and Interconnections

Electromagnetism and Interconnections PDF Author: Stephane Charruau
Publisher: John Wiley & Sons
ISBN: 1118557506
Category : Science
Languages : en
Pages : 202

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Book Description
This book covers the theoretical problems of modeling electrical behavior of the interconnections encountered in everyday electronic products. The coverage shows the theoretical tools of waveform prediction at work in the design of a complex and high-speed digital electronic system. Scientists, research engineers, and postgraduate students interested in electromagnetism, microwave theory, electrical engineering, or the development of simulation tools software for high speed electronic system design automation will find this book an illuminating resource.

Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945

Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945 PDF Author: Karen Hunger Parshall
Publisher: American Mathematical Soc.
ISBN: 0821821245
Category : Mathematics
Languages : en
Pages : 430

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Book Description
Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians andmathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only developments within component national mathematical communities, such as the growth of societies and journals, but also more wide-ranging political, philosophical, linguistic, and pedagogical issues. The resulting volume is essential reading for anyone interestedin the history of modern mathematics. It will be of interest to mathematicians, historians of mathematics, and historians of science in general.

Structural Acoustics and Vibration

Structural Acoustics and Vibration PDF Author: Roger Ohayon
Publisher: Elsevier
ISBN: 0080541941
Category : Science
Languages : en
Pages : 437

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Book Description
Structural Acoustics and Vibration presents the modeling of vibrations of complex structures coupled with acoustic fluids in the low and medium frequency ranges. It is devoted to mechanical models, variationalformulations and discretization for calculating linear vibrations in the frequency domain of complex structures. The book includes theoretical formulations which are directly applicable to develop computer codes for the numerical simulation of complex systems, and gives a general scientific strategy to solve various complex structural acoustics problems in different areas such as spacecraft, aircraft, automobiles, and naval structures. The researcher may directly apply the material of the book to practical problems such as acoustic pollution, the comfort of passengers, and acoustic loads induced by propellers. Structural Acoustics and Vibration considers the mechanical and numerical aspects of the problem, and gives original solutions to the predictability of vibrations of complex structures interacting with internal and external, liquid and gaseous fluids. It is a self-contained general synthesis with a didactic presentation and fills the gap between analytical methods applied to simple geometries and statistical methods, which are useful in high frequency structural acoustic problems. Provides for the first time complex structures in scientific literature Presents a self-contained general synthesis with a didactic presentation Integrates the most advanced research topics on the subject Enables the researcher to solve complex structural acoustics problems in areas such as spacecraft, aircraft, automobiles, and naval structures Fills the gap between analytical methods applied to simple geometries and statistical methods Contains advanced mechanical and numerical modeling Provides appropriate formulations directly applicable for developing computer codes for the numerical simulation of complex systemssystems

Absorbing Boundaries and Layers, Domain Decomposition Methods

Absorbing Boundaries and Layers, Domain Decomposition Methods PDF Author: L. Tourrette
Publisher: Nova Publishers
ISBN: 9781560729402
Category : Mathematics
Languages : en
Pages : 396

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Book Description
CD-ROM contains: Sections omitted from printing of text.

Decision and Decision-maker in an Industrial Environment

Decision and Decision-maker in an Industrial Environment PDF Author: Lamia Berrah
Publisher: John Wiley & Sons
ISBN: 1394229917
Category : Technology & Engineering
Languages : en
Pages : 260

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Book Description
Decision and Decision-maker in an Industrial Environment developed around the observation that two different decision-makers, faced with the same problem, may not make the same decision. The book proposes explanations for this, ranging from the wholly rational to the irrational, and analyzes different factors in decision-making, such as the intention of the decision-maker, the environment in which their decision is made or the process leading to decision-making. While the common belief is that everything in an industrial environment stems from reasoned decisions, analysis of common practice shows that this is not always the case. This book offers an original perspective by presenting the decision making mechanism from the point of view of the decision maker and their handling of a specific decision-making problem. To learn more about the decision-maker’s motivations when faced with these situations, the authors provide a review of the history of decisionmaking and the major trends in decision-making theory. The concepts and methods are presented with illustrations based on the use of an MES, an industrial management software package.

Annales Scientifiques de L'École Normale Supérieure

Annales Scientifiques de L'École Normale Supérieure PDF Author: École normale supérieure (France)
Publisher:
ISBN:
Category : Electronic journals
Languages : fr
Pages : 586

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Book Description