Analyse Numerique Des Equations Differentielles

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Analyse numérique et équations différentielles

Author : Jean-Pierre Demailly
Publisher : EDP Sciences
ISBN 13 : 2759801128
Total Pages : 345 pages
Book Rating : 4.7/5 (598 download)

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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.

Méthodes mathématiques et numériques pour les équations aux dérivées partielles

Author : CHASKALOVIC Joël
Publisher : Lavoisier
ISBN 13 : 2743064803
Total Pages : 382 pages
Book Rating : 4.7/5 (43 download)

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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.

Differential Equations: Methods and Applications

Author : Belkacem Said-Houari
Publisher : Springer
ISBN 13 : 3319257358
Total Pages : 219 pages
Book Rating : 4.3/5 (192 download)

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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.

Acta Numerica 1999: Volume 8

Author : Arieh Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521770880
Total Pages : 310 pages
Book Rating : 4.7/5 (78 download)

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Book Synopsis Acta Numerica 1999: Volume 8 by : Arieh Iserles

Download or read book Acta Numerica 1999: Volume 8 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1999-07-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis is the subject of applied mathematics concerned mainly with using computers in evaluating or approximating mathematical models. As such, it is crucial to all applications of mathematics in science and engineering, as well as being an important discipline on its own. Acta Numerica surveys annually the most important developments in numerical analysis and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing.

Mathematica - revue d'analyse numérique et de théorie de l'approximation

Author :
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematica - revue d'analyse numérique et de théorie de l'approximation by :

Download or read book Mathematica - revue d'analyse numérique et de théorie de l'approximation written by and published by . This book was released on 1992 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 3, 9: Compte rendu du 1.[-2] Congrés des mathematiciens roumains.

An Introduction to Scientific Computing

Author : Ionut Danaila
Publisher : Springer Science & Business Media
ISBN 13 : 0387491597
Total Pages : 303 pages
Book Rating : 4.3/5 (874 download)

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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 Science & Business Media. This book was released on 2007-12-03 with total page 303 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.

Analyse numérique et équations différentielles - 4ème Ed

Author : Jean-Pierre Demailly
Publisher : EDP Sciences
ISBN 13 : 2759828689
Total Pages : 456 pages
Book Rating : 4.7/5 (598 download)

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Book Synopsis Analyse numérique et équations différentielles - 4ème Ed by : Jean-Pierre Demailly

Download or read book Analyse numérique et équations différentielles - 4ème Ed written by Jean-Pierre Demailly and published by EDP Sciences. This book was released on 2023-09-18T00:00:00+02:00 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage est la quatrième édition d’un livre devenu aujourd’hui un classique sur la théorie des équations différentielles ordinaires. Cet ouvrage est la quatrième édition d’un livre devenu aujourd’hui un classique sur la théorie des équations différentielles ordinaires.

Exercises in Computational Mathematics with MATLAB

Author : Tom Lyche
Publisher : Springer
ISBN 13 : 366243511X
Total Pages : 377 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Exercises in Computational Mathematics with MATLAB by : Tom Lyche

Download or read book Exercises in Computational Mathematics with MATLAB written by Tom Lyche and published by Springer. This book was released on 2014-09-02 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises. Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs. The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations. The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.

Scientific Computing with Ordinary Differential Equations

Author : Peter Deuflhard
Publisher : Springer Science & Business Media
ISBN 13 : 0387215824
Total Pages : 498 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Scientific Computing with Ordinary Differential Equations by : Peter Deuflhard

Download or read book Scientific Computing with Ordinary Differential Equations written by Peter Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area

Séminaire de Probabilités XLI

Author : Catherine Donati-Martin
Publisher : Springer Science & Business Media
ISBN 13 : 3540779124
Total Pages : 459 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Séminaire de Probabilités XLI by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités XLI written by Catherine Donati-Martin and published by Springer Science & Business Media. This book was released on 2008-05-07 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic processes are as usual the main subject of the Séminaire, with contributions on Brownian motion (fractional or other), Lévy processes, martingales and probabilistic finance. Other probabilistic themes are also present: large random matrices, statistical mechanics. The contributions in this volume provide a sampling of recent results on these topics. All contributions with the exception of two are written in English language.

The Birth of Numerical Analysis

Author : Adhemar Bultheel
Publisher : World Scientific
ISBN 13 : 981283625X
Total Pages : 240 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis The Birth of Numerical Analysis by : Adhemar Bultheel

Download or read book The Birth of Numerical Analysis written by Adhemar Bultheel and published by World Scientific. This book was released on 2010 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1947 paper by John von Neumann & Herman Goldstine, 'Numerical Inverting of Matrices of High Order', is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book collects contributions by researchers who have lived through this evolution.

Infinite Groups: Geometric, Combinatorial and Dynamical Aspects

Author : Laurent Bartholdi
Publisher : Springer Science & Business Media
ISBN 13 : 3764374470
Total Pages : 419 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Infinite Groups: Geometric, Combinatorial and Dynamical Aspects by : Laurent Bartholdi

Download or read book Infinite Groups: Geometric, Combinatorial and Dynamical Aspects written by Laurent Bartholdi and published by Springer Science & Business Media. This book was released on 2006-03-28 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics.

Mathematical Analysis and the Mathematics of Computation

Author : Werner Römisch
Publisher : Springer
ISBN 13 : 3319427555
Total Pages : 722 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mathematical Analysis and the Mathematics of Computation by : Werner Römisch

Download or read book Mathematical Analysis and the Mathematics of Computation written by Werner Römisch and published by Springer. This book was released on 2016-10-04 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations. This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.

Numerical Analysis

Author : M. Schatzman
Publisher : Oxford University Press, USA
ISBN 13 : 9780198508526
Total Pages : 520 pages
Book Rating : 4.5/5 (85 download)

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Book Synopsis Numerical Analysis by : M. Schatzman

Download or read book Numerical Analysis written by M. Schatzman and published by Oxford University Press, USA. This book was released on 2002 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Analysis explains why numerical computations work or fail. These are mathematical questions, and the text provides students with a complete and sound presentation of the interface between mathematics and scienctific computation.

Analyse numérique en électromagnétisme : la méthode TLM (Collection Micro et nanoélectronique micro et nanosystèmes)

Author : SAGUET Pierre
Publisher : Lavoisier
ISBN 13 : 274628121X
Total Pages : 178 pages
Book Rating : 4.7/5 (462 download)

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Book Synopsis Analyse numérique en électromagnétisme : la méthode TLM (Collection Micro et nanoélectronique micro et nanosystèmes) by : SAGUET Pierre

Download or read book Analyse numérique en électromagnétisme : la méthode TLM (Collection Micro et nanoélectronique micro et nanosystèmes) written by SAGUET Pierre and published by Lavoisier. This book was released on 2012-06-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: La méthode TLM (Transmission Line Matrix) permet de résoudre un problème d'électromagnétisme et d'analyser le comportement de certains milieux. Il s'agit d'un outil performant qui bénéficie d'un développement important. Sa capacité à simuler avec précision des situations variées incluant des matériaux complexes est démontrée. Cet ouvrage en expose les bases théoriques et les principaux développements. La méthode historique en deux et trois dimensions et les dernières évolutions y sont détaillées pour aboutir aux noeuds sophistiqués les plus utilisés. Les simulations des milieux fermés et ouverts sont traitées et en particulier les frontières absorbantes (PML) pour les milieux ouverts. L'introduction d'éléments passifs ou actifs, la simulation de fils minces, la simulation des milieux dispersifs comme les plasmas ou les ferrites par l'utilisation de la transformée en Z sont étudiées.

Modélisation et simulation numériques en formage virtuel

Author : SAANOUNI Khemais
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.

Handbook of Stochastic Analysis and Applications

Author : D. Kannan
Publisher : CRC Press
ISBN 13 : 9780824706609
Total Pages : 800 pages
Book Rating : 4.7/5 (66 download)

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Book Synopsis Handbook of Stochastic Analysis and Applications by : D. Kannan

Download or read book Handbook of Stochastic Analysis and Applications written by D. Kannan and published by CRC Press. This book was released on 2001-10-23 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to general theories of stochastic processes and modern martingale theory. The volume focuses on consistency, stability and contractivity under geometric invariance in numerical analysis, and discusses problems related to implementation, simulation, variable step size algorithms, and random number generation.