Modélisation mathématique et simulation numérique

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Publisher :
ISBN 13 : 9782868834201
Total Pages : 60 pages
Book Rating : 4.8/5 (342 download)

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Book Synopsis Modélisation mathématique et simulation numérique by : Collectif,

Download or read book Modélisation mathématique et simulation numérique written by Collectif, and published by . This book was released on 1999 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: La modélisation mathématique et la simulation numérique constituent une troisième voie d'approche de la réalité, qui complète des résultats obtenus par l'expérience et par la théorie analytique. L'avènement d'ordinateurs possédant une très grande puissance de calcul a conduit, ces dernières années, à un important développement de ces méthodes qui permettent de modéliser, à l'échelle moléculaire, le comportement chimique de phases condensées. L'étude d'exemples concernant des systèmes biologiques des matériaux en cours d'évolution ou des réactions de catalyse vient souligner tout l'intérêt qui s'attache à cette nouvelle discipline appelée à un grand avenir. Les Entretiens de la Physique sont des manifestations annuelles, organisées conjointement par la Société Française de Physique et le Conseil National des Ingénieurs et des Scientifiques de France.

Analyse numérique et optimisation

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Publisher : Editions Ecole Polytechnique
ISBN 13 : 9782730212557
Total Pages : 482 pages
Book Rating : 4.2/5 (125 download)

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Book Synopsis Analyse numérique et optimisation by : Grégoire Allaire

Download or read book Analyse numérique et optimisation written by Grégoire Allaire and published by Editions Ecole Polytechnique. This book was released on 2005 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est issu d'un cours enseigné à l'École Polytechnique dont l'objectif, au delà de la présentation de l'analyse numérique et de l'optimisation, est d'introduire les étudiants au monde de la modélisation mathématique et de la simulation numérique. La modélisation et la simulation ont pris une importance considérable ces dernières décennies dans tous les domaines de la science et des applications industrielles (ou sciences de l'ingénieur). En effet, depuis leur apparition au lendemain de la seconde guerre mondiale les ordinateurs ont profondément transformé les mathématiques en en faisant une science expérimentale : on fait des ± expériences numériques » (des calculs sur ordinateurs) comme d'autres font des expériences physiques. L'analyse numérique est justement la discipline qui conçoit et analyse les méthodes ou algorithmes de calcul. La simulation numérique permet aux mathématiciens de s'attaquer à des problèmes beaucoup plus complexes et concrets qu'auparavant, issus de motivations immédiates industrielles ou scientifiques, auxquels on peut apporter des réponses à la fois qualitatives mais aussi quantitatives : c'est la modélisation mathématique. Remarquons qu'à coté des champs d'applications traditionnels que sont la chimie, le mécanique et la physique se sont ouverts de nouvelles perspectives en biologie, environnement, finance, médecine et sciences sociales. Par ailleurs, l'ingénieur ou le scientifique qui a réussi à simuler numériquement son problème ne s'arrête pas en si bon chemin: il veut ensuite pouvoir intervenir sur certains paramètres pour améliorer ou optimiser le fonctionnement, le rendement, ou la réponse d'un système en maximisant (ou minimisant) des fonctions associées. C'est précisément le but de l'optimisation qui fournit des outils théoriques ou numériques pour ce faire. L'analyse numérique et l'optimisation sont donc deux outils essentiels et complémentaires de la modélisation mathématique. Des travaux pratiques de simulation numérique à l'aide des logiciels Scilab et FreeFem++ accompagnent cet ouvrage et sont disponibles sur le site web http://www.cmap.polytechnique.fr/~allaire/

Analyse numérique et optimisation

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Publisher :
ISBN 13 : 9782730209090
Total Pages : 149 pages
Book Rating : 4.2/5 (9 download)

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Book Synopsis Analyse numérique et optimisation by : Grégoire Allaire

Download or read book Analyse numérique et optimisation written by Grégoire Allaire and published by . This book was released on 2002 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analyse numérique et optimisation

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Publisher :
ISBN 13 : 9782730214759
Total Pages : 255 pages
Book Rating : 4.2/5 (147 download)

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Book Synopsis Analyse numérique et optimisation by : Grégoire Allaire

Download or read book Analyse numérique et optimisation written by Grégoire Allaire and published by . This book was released on 2008 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analyse numérique et optimisation

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Publisher :
ISBN 13 : 9782730209021
Total Pages : 322 pages
Book Rating : 4.2/5 (9 download)

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Book Synopsis Analyse numérique et optimisation by : Grégoire Allaire

Download or read book Analyse numérique et optimisation written by Grégoire Allaire and published by . This book was released on 2002 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling and Simulation

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Publisher : John Wiley & Sons
ISBN 13 : 3527627618
Total Pages : 362 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Mathematical Modeling and Simulation by : Kai Velten

Download or read book Mathematical Modeling and Simulation written by Kai Velten and published by John Wiley & Sons. This book was released on 2009-06-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

Modélisation et simulation numériques en formage virtuel

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Publisher : Lavoisier
ISBN 13 : 2746282259
Total Pages : 578 pages
Book Rating : 4.7/5 (462 download)

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Book Synopsis Modélisation et simulation numériques en formage virtuel by : SAANOUNI Khemais

Download or read book Modélisation et simulation numériques en formage virtuel written by SAANOUNI Khemais and published by Lavoisier. This book was released on 2012-04-16 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage fait le point sur les méthodes actuelles les plus performantes pour modéliser, simuler et optimiser les procédés de mise en forme des structures minces et massives et d'en donner les tendances des nouvelles méthodes innovantes actuellement en cours de développement et qui feront à n'en pas douter les "outils" industriels de demain dans le domaine du formage virtuel. Par rapport aux ouvrages récents dédiés aux méthodes numériques en mise en forme, le principal apport de ce livre se trouve rassemblé au deuxième chapitre qui concerne le développement des modèles de comportement multiphysiques à fortes capacités prédictives, utilisables dans les codes de calcul des structures pour simuler et optimiser tous types de procédés de mise en forme par grandes déformations irréversibles de structures métalliques minces et/ou massives et leur "optimisation" vis-à-vis de l'avènement de l'endommagement ductile.

La simulation numérique

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Publisher : ISTE Group
ISBN 13 : 1784055336
Total Pages : 334 pages
Book Rating : 4.7/5 (84 download)

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Book Synopsis La simulation numérique by : Jean-François Sigrist

Download or read book La simulation numérique written by Jean-François Sigrist and published by ISTE Group. This book was released on 2019-01-01 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: La modélisation numérique s’impose comme une technique d’importance majeure. Elle participe fortement à l’innovation du secteur industriel en répondant aux objectifs de maîtrise des risques techniques et de performance économique. Si les cursus d’ingénieurs intègrent aujourd’hui des formations qui lui sont dédiées, la simulation numérique reste cependant peu connue de certains secteurs économiques, et moins encore du grand public. Elle change pourtant la pratique de nombreuses disciplines scientifiques et dialogue avec l’informatique, la science des données et l’intelligence artificielle. Agrémenté d’une riche iconographie, d’exemples concrets et d’entretiens, cet ouvrage didactique examine les principes et les enjeux de la simulation numérique, cet « art de la prédiction » mal connu.

Analyse numérique modélisation

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Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.:/5 (932 download)

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Book Synopsis Analyse numérique modélisation by : Francis Filbet

Download or read book Analyse numérique modélisation written by Francis Filbet and published by . This book was released on 2009 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling and Simulation

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Publisher : John Wiley & Sons
ISBN 13 : 3527414142
Total Pages : 498 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Mathematical Modeling and Simulation by : Kai Velten

Download or read book Mathematical Modeling and Simulation written by Kai Velten and published by John Wiley & Sons. This book was released on 2024-10-07 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to use modeling and simulation methods to attack real-world problems, from physics to engineering, from life sciences to process engineering Reviews of the first edition (2009): "Perfectly fits introductory modeling courses [...] and is an enjoyable reading in the first place. Highly recommended [...]" —Zentralblatt MATH, European Mathematical Society, 2009 "This book differs from almost all other available modeling books in that [the authors address] both mechanistic and statistical models as well as 'hybrid' models. [...] The modeling range is enormous." —SIAM Society of Industrial and Applied Mathematics, USA, 2011 This completely revised and substantially extended second edition answers the most important questions in the field of modeling: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? What kind of mathematical problems appear and how can these be efficiently solved using professional free of charge open source software? The book addresses undergraduates and practitioners alike. Although only basic knowledge of calculus and linear algebra is required, the most important mathematical structures are discussed in sufficient detail, ranging from statistical models to partial differential equations and accompanied by examples from biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical, and process engineering. About 200 pages of additional material include a unique chapter on virtualization, Crash Courses on the data analysis and programming languages R and Python and on the computer algebra language Maxima, many new methods and examples scattered throughout the book and an update of all software-related procedures and a comprehensive book software providing templates for typical modeling tasks in thousands of code lines. The book software includes GmLinux, an operating system specifically designed for this book providing preconfigured and ready-to-use installations of OpenFOAM, Salome, FreeCAD/CfdOF workbench, ParaView, R, Maxima/wxMaxima, Python, Rstudio, Quarto/Markdown and other free of charge open source software used in the book.

Mathematical Modeling and Digital Simulation for Engineers and Scientists

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematical Modeling and Digital Simulation for Engineers and Scientists by : Jon M. Smith

Download or read book Mathematical Modeling and Digital Simulation for Engineers and Scientists written by Jon M. Smith and published by Wiley-Interscience. This book was released on 1987-05-12 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling preliminaries; Numerical methods for simulating linear systems on a digital computer; Numerical methods for simulating nonlinear systems on a digital computer; Simulating continuous random processes on a digital computer; Simulator verification; Fast function evaluation techniques.

Optimisations et programmations

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Publisher : ISTE Group
ISBN 13 : 1784058092
Total Pages : 276 pages
Book Rating : 4.7/5 (84 download)

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Book Synopsis Optimisations et programmations by : Bouchaïb Radi

Download or read book Optimisations et programmations written by Bouchaïb Radi and published by ISTE Group. This book was released on 2022-02-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: L’optimisation, domaine en plein essor, permet de répondre aux besoins de maximisation des performances et de minimisation des coûts, notamment grâce à l’augmentation considérable des puissances de calcul. L’utilisation de logiciels de simulation donne aux entreprises un avantage stratégique significatif et leur permet d’assurer un développement plus efficace de leurs solutions. Optimisations et programmations analyse les méthodes de base et celles avancées permettant de résoudre les problèmes d’optimisations linéaire et non linéaire. La première partie de cette étude examine certains outils de recherche opérationnelle tels que les programmations linéaire, en nombres entiers, dynamique et stochastique. La deuxième partie traite des optimisations combinatoire, non linéaire sans contraintes et sous contraintes. À travers des exemples détaillés, chaque chapitre présente les outils d’optimisation numériques les plus performants ainsi que des applications sous Matlab® adaptées au domaine de l’ingénierie.

Mathematical and Computational Modeling and Simulation

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Publisher : Springer Science & Business Media
ISBN 13 : 3642187099
Total Pages : 438 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical and Computational Modeling and Simulation by : Dietmar P.F. Möller

Download or read book Mathematical and Computational Modeling and Simulation written by Dietmar P.F. Möller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction and textbook familiarizes engineers with the use of mathematical and computational modeling and simulation in a way that develops their understanding of the solution characteristics of a broad class of real-world problems. The relevant basic and advanced methodologies are explained in detail, with special emphasis on ill-defined problems. Some fifteen simulation systems are presented on the language and the logical level. Moreover, the reader also can accumulate an experiential overview by studying the wide variety of case studies spanning much of science and engineering. The latter are briefly described within the book but their full versions as well as some simulation software demos are available on the Web. The book can be used for courses on various levels as well as for self-study. Advanced sections are identified and can be skipped in a first reading or in undergraduate courses.

Modeling and Simulation in Science and Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 1461214149
Total Pages : 352 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modeling and Simulation in Science and Mathematics Education by : Wallace Feurzeig

Download or read book Modeling and Simulation in Science and Mathematics Education written by Wallace Feurzeig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book/software package brings the tools and excitement of modeling to pre-college teachers, to researchers involved in curriculum development, and to software developers interested in the pre-college market.

Maillage, modélisation géométrique et simulation numérique 1

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Publisher : ISTE Group
ISBN 13 : 1784052388
Total Pages : 377 pages
Book Rating : 4.7/5 (84 download)

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Book Synopsis Maillage, modélisation géométrique et simulation numérique 1 by : Houman Borouchaki

Download or read book Maillage, modélisation géométrique et simulation numérique 1 written by Houman Borouchaki and published by ISTE Group. This book was released on 2017-05-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les triangulations et plus précisément les maillages sont au coeur de nombreux problèmes relatifs à des disciplines scientifiques très variées et, en particulier, les simulations numériques de phénomènes physiques. Dans ce contexte, les espaces fonctionnels d’approximation pour la recherche de solutions sont définis à partir des maillages qui jouent un rôle primordial. Cette forte liaison entre les maillages et ces espaces fonctionnels amène à considérer des méthodologies avancées de simulation dans lesquelles les maillages s’adaptent aux comportements des phénomènes physiques sous-jacents. Cet ouvrage présente les éléments de base de cette vision. Ces adaptations de maillages sont généralement gouvernées par des estimateurs a posteriori d’une erreur. Ils traduisent une majoration de cette erreur par le respect d’une taille ou d’une métrique. Indépendamment de cette métrique de calcul, le respect d’une géométrie peut aussi se traduire par le respect d’une métrique dite géométrique. La notion de maillage trouve ainsi son sens dans la métrique de ses éléments.

Mathematical and Computational Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 1118853989
Total Pages : 321 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Mathematical and Computational Modeling by : Roderick Melnik

Download or read book Mathematical and Computational Modeling written by Roderick Melnik and published by John Wiley & Sons. This book was released on 2015-05-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and Computational Modeling Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-theart achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. The book also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, and industrial and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.

Multiscale Modeling and Analysis for Materials Simulation

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Publisher : World Scientific
ISBN 13 : 9814360899
Total Pages : 285 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Multiscale Modeling and Analysis for Materials Simulation by : Weizhu Bao

Download or read book Multiscale Modeling and Analysis for Materials Simulation written by Weizhu Bao and published by World Scientific. This book was released on 2012 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on "Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design" from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.