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Resolution Numerique Des Equations Aux Derivees Partielles
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Book Synopsis Méthodes mathématiques et numériques pour les équations aux dérivées partielles by : CHASKALOVIC Joël
Download or read book Méthodes mathématiques et numériques pour les équations aux dérivées partielles written by CHASKALOVIC Joël and published by Lavoisier. This book was released on 2013-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Résolution numérique des équations aux dérivées partielles by : Alain Le Pourhiet
Download or read book Résolution numérique des équations aux dérivées partielles written by Alain Le Pourhiet and published by Editions Cépaduès. This book was released on 1988 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods for Partial Differential Equations by : Vitoriano Ruas
Download or read book Numerical Methods for Partial Differential Equations written by Vitoriano Ruas and published by John Wiley & Sons. This book was released on 2016-08-22 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.
Book Synopsis Numerical Analysis of Partial Differential Equations by : Jacques Louis Lions
Download or read book Numerical Analysis of Partial Differential Equations written by Jacques Louis Lions and published by Springer Science & Business Media. This book was released on 2011-06-07 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: S. Albertoni: Alcuni metodi di calcolo nella teoria della diffusione dei neutroni.- I. Babuska: Optimization and numerical stability in computations.- J.H. Bramble: Error estimates in elliptic boundary value problems.- G. Capriz: The numerical approach to hydrodynamic problems.- A. Dou: Energy inequalities in an elastic cylinder.- T. Doupont: On the existence of an iterative method for the solution of elliptic difference equation with an improved work estimate.- J. Douglas, J.R. Cannon: The approximation of harmonic and parabolic functions of half-spaces from interior data.- B.E. Hubbard: Error estimates in the fixed Membrane problem.- K. Jorgens: Calculation of the spectrum of a Schrödinger operator.- A. Lasota: Contingent equations and boundary value problems.- J.L. Lions: Réduction à des problèmes du type Cauchy-Kowalewska.- J.L. Lions: Problèmes aux limites non homogènes à données irrégulières; une méthode d’approximation.- J.L. Lions: Remarques sur l’approximation régularisée de problèmes aux limites.- W.V. Petryshyn: On the approximation-solvability of nonlinear functional equations in normed linear spaces.- P.A. Raviart: Approximation des équations d’évolution par des méthodes variationnelles.- M. Sibony, H. Brezis: Méthodes d’approximation et d’itération pour les operateurs monotones.- V. Thomee: Some topics in stability theory for partial difference operators.
Book Synopsis Equations aux dérivées partielles et applications by : Jacques-Louis Lions
Download or read book Equations aux dérivées partielles et applications written by Jacques-Louis Lions and published by Elsevier Masson. This book was released on 1998 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Résolution numérique des équations aux dérivées partielles by : Anne-Sophie Bonnet-Bendhia
Download or read book Résolution numérique des équations aux dérivées partielles written by Anne-Sophie Bonnet-Bendhia and published by . This book was released on 1993 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters by : H.G. Kaper
Download or read book Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters written by H.G. Kaper and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the NATO Advanced Research Workshop on "Asymptotic-induced Numerical Methods for Partial Differ ential Equations, Critical Parameters, and Domain Decomposition," held at Beaune (France), May 25-28, 1992. The purpose of the workshop was to stimulate the integration of asymp totic analysis, domain decomposition methods, and symbolic manipulation tools for the numerical solution of partial differential equations (PDEs) with critical parameters. A workshop on the same topic was held at Argonne Na tional Laboratory in February 1990. (The proceedings were published under the title Asymptotic Analysis and the Numerical Solu.tion of Partial Differ ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture Notes in Pure and Applied Mathematics. Vol. 130, ·Marcel Dekker, Inc., New York, 1991.) In a sense, the present proceedings represent a progress report on the topic area. Comparing the two sets of proceedings, we see an increase in the quantity as well as the quality of the contributions. 110re research is being done in the topic area, and the interest covers serious, nontrivial problems. We are pleased with this outcome and expect to see even more advances in the next few years as the field progresses.
Book Synopsis Numerical Methods and Optimization by : Jean-Pierre Corriou
Download or read book Numerical Methods and Optimization written by Jean-Pierre Corriou and published by Springer Nature. This book was released on 2022-01-04 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, covering a very large span of numerical methods and optimization, is primarily aimed at advanced undergraduate and graduate students. A background in calculus and linear algebra are the only mathematical requirements. The abundance of advanced methods and practical applications will be attractive to scientists and researchers working in different branches of engineering. The reader is progressively introduced to general numerical methods and optimization algorithms in each chapter. Examples accompany the various methods and guide the students to a better understanding of the applications. The user is often provided with the opportunity to verify their results with complex programming code. Each chapter ends with graduated exercises which furnish the student with new cases to study as well as ideas for exam/homework problems for the instructor. A set of programs made in MatlabTM is available on the author’s personal website and presents both numerical and optimization methods.
Book Synopsis Proceedings of the Third International Colloquium on Numerical Analysis by : D. Bainov
Download or read book Proceedings of the Third International Colloquium on Numerical Analysis written by D. Bainov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Proceedings of the Third International Colloquium on Numerical Analysis".
Book Synopsis Lectures on Numerical Methods for Non-Linear Variational Problems by : R. Glowinski
Download or read book Lectures on Numerical Methods for Non-Linear Variational Problems written by R. Glowinski and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.
Book Synopsis Acta Numerica 1993: Volume 2 by : Arieh Iserles
Download or read book Acta Numerica 1993: Volume 2 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1993-04-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the tradition established with the 1992 volume, this 1993's Acta Numerica presents six invited papers on a broad range of topics from numerical analysis. Papers treat each topic at a level intelligible by any numerical analyst from graduate student to professional.
Book Synopsis Finite Element Methods for Engineering Sciences by : Joel Chaskalovic
Download or read book Finite Element Methods for Engineering Sciences written by Joel Chaskalovic and published by Springer Science & Business Media. This book was released on 2008-09-16 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applications of Functional Analysis and Operator Theory by : Hutson
Download or read book Applications of Functional Analysis and Operator Theory written by Hutson and published by Academic Press. This book was released on 1980-02-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Functional Analysis and Operator Theory
Download or read book Electrothermie written by FOULGADAR and published by Lavoisier. This book was released on 2012-04-16 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le chauffage par induction est actuellement absent dans beaucoup d'applications industrielles, et pourtant, il a une capacité importante d'innovations technologiques dès lors qu'un apport de chaleur est nécessaire. Cette absence vient du fait que les acteurs du chauffage par induction se sont intéressés essentiellement aux applications traditionnelles d'induction pour la fusion, l'élaboration et le traitement thermique des matériaux de bonnes conductivités électrique et thermique. L'objectif de cet ouvrage Électrothermie est donc de développer des méthodologies d'analyse et de la conception des systèmes du chauffage par induction pour les matériaux peu conducteurs. Dans ce cadre, les modèles analytiques et numériques couplés des phénomènes électromagnétiques et thermiques sont utilisés pour étudier et concevoir des installations du plasma inductif, de démontrer la faisabilité d'une technique du contrôle non destructif thermo inductive, et enfin illustrer les performance du chauffage par induction pour l'élaboration des matériaux composites à base de fibres de carbone.
Book Synopsis Mathematical and Numerical Methods for Partial Differential Equations by : Joël Chaskalovic
Download or read book Mathematical and Numerical Methods for Partial Differential Equations written by Joël Chaskalovic and published by Springer. This book was released on 2014-05-16 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. 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. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic.
Book Synopsis Third International Symposium on Domain Decomposition Methods for Partial Differential Equations by : Tony F. Chan
Download or read book Third International Symposium on Domain Decomposition Methods for Partial Differential Equations written by Tony F. Chan and published by SIAM. This book was released on 1990-01-01 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Partial Differential Equations and Their Applications by : Doina Cioranescu
Download or read book Nonlinear Partial Differential Equations and Their Applications written by Doina Cioranescu and published by Elsevier. This book was released on 2002-06-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.
