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Analyse Numerique Des Equations Differentielles Et Aux Derivees Partielles
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Book Synopsis Analyse numérique et équations différentielles by : Jean-Pierre Demailly
Download or read book Analyse numérique et équations différentielles written by Jean-Pierre Demailly and published by EDP Sciences. This book was released on 2012-12-03 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage est un cours d'introduction à la théorie des équations différentielles ordinaires, accompagné d'un exposé détaillé de différentes méthodes numériques permettant de les résoudre en pratique. La première partie présente quelques techniques importantes de l'analyse numérique : interpolation polynomiale, méthodes d'intégration numérique, méthodes itératives pour la résolution d'équations. Suit un exposé rigoureux des résultats de base sur l'existence, l'unicité et la régularité des solutions des équations différentielles, incluant une étude détaillée des équations usuelles du premier et du second ordre, des équations et systèmes différentiels linéaires, de la stabilité des solutions et leur dépendance par rapport aux paramètres. Une place substantielle est accordée à la description des méthodes numériques à un pas ou multi-pas, avec une étude comparative de la stabilité et du coût en temps de calcul. Agrémenté de nombreux exemples concrets, le texte propose des exercices et des problèmes d'application à la fin de chaque chapitre. Cette troisième édition a été enrichie de nouveaux exemples et exercices et de compléments théoriques et pratiques : comportement des suites itératives, théorème des fonctions implicites et ses conséquences géométriques, critère de maximalité des solutions d'équations différentielles, calcul des géodésiques d'une surface, flots de champ de vecteurs... Cet ouvrage est surtout destiné aux étudiants (licence (L3), masters scientifiques, écoles d'ingénieurs, agrégatifs de mathématiques). Les enseignants, professionnels (physiciens, mécaniciens...) l'utiliseront comme outil de base.
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 Differential Equations: Methods and Applications by : Belkacem Said-Houari
Download or read book Differential Equations: Methods and Applications written by Belkacem Said-Houari and published by Springer. This book was released on 2016-01-11 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory.To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included.The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations.
Book Synopsis RAIRO, Mathematical modelling and numerical analysis by :
Download or read book RAIRO, Mathematical modelling and numerical analysis written by and published by . This book was released on 1998 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book RAIRO written by and published by . This book was released on 1982 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multidisciplinary Methods for Analysis, Optimization and Control of Complex Systems by : Vincenzo Capasso
Download or read book Multidisciplinary Methods for Analysis, Optimization and Control of Complex Systems written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2006-01-05 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of lecture notes of a summer school named after the late Jacques Louis Lions. The summer school was designed to alert both Academia and Industry to the increasing role of multidisciplinary methods and tools for the design of complex products in various areas of socio-economic interest. This volume offers the reader a rare opportunity of being exposed to the presentation of real industrial and societal problems together with the relevant innovative methods used.
Book Synopsis Geotechnical Engineering Education and Training by : I Antonescu
Download or read book Geotechnical Engineering Education and Training written by I Antonescu and published by CRC Press. This book was released on 2020-09-10 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers and reports from the Conference held in Romania, June 2000. The book covers many topics, for example, place, role and content of geotechnical engineering in civil, environmental and earthquake engineering.
Book Synopsis Revue Semestrielle Des Publications Mathematiques by :
Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1893 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Revue Semestrielle Des Publications Mathématiques by :
Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1913 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Acta Numerica 1995: Volume 4 by : Arieh Iserles
Download or read book Acta Numerica 1995: Volume 4 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1995-07-13 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acta Numerica has established itself as the prime forum for the presentation of definitive reviews of numerical analysis topics. The invited review papers, by leaders in their respective fields, allow researchers and graduate students alike quickly to grasp trends and developments. Highlights of the 1995 issue include articles on sequential quadratic programming, mesh adaption, free boundary problems and particle methods in continuum computations.
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 An Introduction to Scientific Computing by : Ionut Danaila
Download or read book An Introduction to Scientific Computing written by Ionut Danaila and published by Springer Nature. This book was released on 2023-11-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.
Book Synopsis French Mathematical Seminars by : Nancy D. Anderson
Download or read book French Mathematical Seminars written by Nancy D. Anderson and published by American Mathematical Soc.. This book was released on 1989 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.
Book Synopsis Computation and Applied Mathematics by :
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 2002 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Revue franc̜aise d'automatique, informatique, recherche operationnelle by :
Download or read book Revue franc̜aise d'automatique, informatique, recherche operationnelle written by and published by . This book was released on 1975 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1921 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
