Méthodes mathématiques et numériques pour les équations aux dérivées partielles
Méthodes mathématiques et numériques pour les équations aux dérivées partielles

Author: CHASKALOVIC Joël

Publisher: Lavoisier

Published: 2013-01-21

Total Pages: 382

ISBN-13: 2743064803

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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.

Partial Differential Equations and Functional Analysis
Partial Differential Equations and Functional Analysis

Author: J. Cea

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 288

ISBN-13: 1461224365

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Pierre Grisvard, one of the most distinguished French mathematicians, died on April 22, 1994. A Conference was held in November 1994 out of which grew the invited articles contained in this volume. All of the papers are related to functional analysis applied to partial differential equations, which was Grisvard's specialty. Indeed his knowledge of this area was extremely broad. He began his career as one of the very first students of Jacques Louis Lions, and in 1965, he presented his "State Thesis" on interpolation spaces, using in particular, spectral theory for linear operators in Banach spaces. After 1970, he became a specialist in the study of optimal regularity for par tial differential equations with boundary conditions. He studied singulari ties coming from coefficients, boundary conditions, and mainly non-smooth domains, and left a legacy of precise results which have been published in journals and books. Pierre Grisvard spent most of his career as a full professor at the University of Nice, where he started in 1967. For shorter or longer periods, he visited several foreign countries, and collaborated with some of the most famous mathematicians in his field. He was also an excellent organizer and directed a large number of Ph.D. students. Finally, this volume contains a bibliography of Grisvard's works as well as one paper which he wrote and which has not been published before.

Dictionary of Scientific and Technical Terminology
Dictionary of Scientific and Technical Terminology

Author:

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 495

ISBN-13: 9401712557

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Scientific and technical contacts between nations· have necessitated the publication of various language textbooks, manuals and reference books. Particularly important among them are multilingual scientifio and technical dictionaries. This English-German-French-Dutch-Russian Dictionary of Scientifio and Technical Terms contains some 9000 entries. The main fea ture of the Dictionary is that it includes first and foremost general scientific terms needed by an engineer working in any branch of science and technology. Besides, the Dictionary includes the basic terms used in physics, mathemat ics, the fundamentals of electrical engineering and chemistry, and also the most essential terms pertaining to manufacturing processes. machine design, testing methods, etc. The Compilers were confronted with a difficult task, as nowadays science and technology are developing rapidly and the minimum scientific and tech nical vocabulary required by a specialist is increasing accordingly. The Compilers have taken special pains to include the entire basic mod ern technical vocabulary, omitting superfluous words and phrases. They have tried to solve this problem by selecting mainly those scientific and tech nical terms which constitute the basic of a specialised vocabulary. There fore, the Dictionary includes the vocabulary pertaining to general study courses in mathematics, physics and chemistry, and also in electrical engi neering. electronics and machine design, given in technical colleges irrespect ive of their specification. This lends the Dictionary an «all-purpose» char acter, making it equally useful to scientists and engineers of different countries, who have graduated from colleges with different curricula.

Finite Element Methods for Engineering Sciences
Finite Element Methods for Engineering Sciences

Author: Joel Chaskalovic

Publisher: Springer Science & Business Media

Published: 2008-09-16

Total Pages: 261

ISBN-13: 3540763430

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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.

Distribution Theory
Distribution Theory

Author: Petre Teodorescu

Publisher: John Wiley & Sons

Published: 2013-09-03

Total Pages: 379

ISBN-13: 3527653635

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In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail. They present a general method of approaching problems, pointing out different aspects and difficulties that may occur. With respect to the theory of distributions, only the results and the principle theorems are given as well as some mathematical results. The book also systematically deals with a large number of applications to problems of general Newtonian mechanics, as well as to problems pertaining to the mechanics of deformable solids and physics. Special attention is placed upon the introduction of corresponding mathematical models. Addressed to a wide circle of readers who use mathematical methods in their work: applied mathematicians, engineers in various branches, as well as physicists, while also benefiting students in various fields.

Catalog of Copyright Entries. Third Series
Catalog of Copyright Entries. Third Series

Author: Library of Congress. Copyright Office

Publisher: Copyright Office, Library of Congress

Published: 1968

Total Pages: 1380

ISBN-13:

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Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)

Electromagnetism and Interconnections
Electromagnetism and Interconnections

Author: Stephane Charruau

Publisher: John Wiley & Sons

Published: 2013-03-01

Total Pages: 202

ISBN-13: 1118557506

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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.

Power Electronics Applied to Industrial Systems and Transports, Volume 1
Power Electronics Applied to Industrial Systems and Transports, Volume 1

Author: Nicolas Patin

Publisher: Elsevier

Published: 2015-04-09

Total Pages: 191

ISBN-13: 0081004591

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Power electronics is based on the switching operating mode of semiconductor components. On this basis, the concepts of type (voltage or current) and reversibility of interconnected sources make it possible to apply a methodology for the synthesis of various types of converters.Here the author presents the major types of components available, always from a user's point of view, with the gate drive/fire control and other auxiliary circuits that are required for their proper functioning (snubbers, for example). The different passive components (capacitors, coils and transformers) are discussed, as well as printed circuit technology, especially in the aspect of their design.This book also focuses on the importance of packaging by reviewing the electrical representation of components' thermal models and the currently available electronics' cooling technologies. Modeling is discussed, as well as different technological aspects used in the engineering design of an electronic power converter, useful for obtaining satisfactory performance and reliability. - Presenting the essential notions in power electronics from both the theoretical and technological perspectives - Dedicated chapters with a focus on connection rules, reversibility and impact choices of switches for converter synthesis - Presented from a user's perspective to enable you to apply the theory of power electronics to practical applications