Analyse Numerique Et Equations Aux Derivees Partielles

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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.

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.

Control and Estimation of Distributed Parameter Systems

Author : W. Desch
Publisher : Birkhäuser
ISBN 13 : 303488849X
Total Pages : 308 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Control and Estimation of Distributed Parameter Systems by : W. Desch

Download or read book Control and Estimation of Distributed Parameter Systems written by W. Desch and published by Birkhäuser. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM

Author : John A. Trangenstein
Publisher : Cambridge University Press
ISBN 13 : 0521877261
Total Pages : 657 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM by : John A. Trangenstein

Download or read book Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM written by John A. Trangenstein and published by Cambridge University Press. This book was released on 2013-04-18 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).

Theory and Numerics of Differential Equations

Author : James Blowey
Publisher : Springer Science & Business Media
ISBN 13 : 3662043548
Total Pages : 290 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Theory and Numerics of Differential Equations by : James Blowey

Download or read book Theory and Numerics of Differential Equations written by James Blowey and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compilation of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research is given.

Partial Differential Equations: Modeling, Analysis and Numerical Approximation

Author : Hervé Le Dret
Publisher : Birkhäuser
ISBN 13 : 3319270672
Total Pages : 403 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Partial Differential Equations: Modeling, Analysis and Numerical Approximation by : Hervé Le Dret

Download or read book Partial Differential Equations: Modeling, Analysis and Numerical Approximation written by Hervé Le Dret and published by Birkhäuser. This book was released on 2016-02-11 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.

Some Problems On Nonlinear Hyperbolic Equations And Applications

Author : Tatsien Li
Publisher : World Scientific
ISBN 13 : 981446404X
Total Pages : 464 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Some Problems On Nonlinear Hyperbolic Equations And Applications by : Tatsien Li

Download or read book Some Problems On Nonlinear Hyperbolic Equations And Applications written by Tatsien Li and published by World Scientific. This book was released on 2010-09-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.

Elements of Nonlinear Analysis

Author : Michel Chipot
Publisher : Birkhäuser
ISBN 13 : 3034884281
Total Pages : 258 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Elements of Nonlinear Analysis by : Michel Chipot

Download or read book Elements of Nonlinear Analysis written by Michel Chipot and published by Birkhäuser. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass[es] many methods of dynamical systems in quite simple and original settings. I recommend this book to anyone interested in the main and essential concepts of nonlinear analysis as well as the relevant methodologies and applications." --MATHEMATICAL REVIEWS

Elliptic Equations: An Introductory Course

Author : Michel Chipot
Publisher : Springer Nature
ISBN 13 : 3031541235
Total Pages : 393 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Elliptic Equations: An Introductory Course by : Michel Chipot

Download or read book Elliptic Equations: An Introductory Course written by Michel Chipot and published by Springer Nature. This book was released on with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology, Calculus and Approximation

Author : Vilmos Komornik
Publisher : Springer
ISBN 13 : 1447173163
Total Pages : 383 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Topology, Calculus and Approximation by : Vilmos Komornik

Download or read book Topology, Calculus and Approximation written by Vilmos Komornik and published by Springer. This book was released on 2017-04-04 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Carathéodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.

Functional Analysis and Related Topics, 1991

Author : Hikosaburo Komatsu
Publisher : Springer
ISBN 13 : 3540475656
Total Pages : 425 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Functional Analysis and Related Topics, 1991 by : Hikosaburo Komatsu

Download or read book Functional Analysis and Related Topics, 1991 written by Hikosaburo Komatsu and published by Springer. This book was released on 2006-11-15 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these proceedings of the international conference held in Kyoto in memoryof the late Professor K saku Yosida, twenty six invited speakers display in their many facets of functional analysis and its applications in the research tradition of Yosida's school. Many of the topics are related tolinear and non-linear partial differential equations, including the Schr|dinger equations, the Navier-Stokes equations and quasilinear hyperbolic equations. Several of the papers are survey articles, the others are original (unpublished) and refereed research articles. Also included is a full listing of the publications of K. Yosida. Recommendedto students and research workers looking for a bird's-eye view of current research activity in functional analysis and its applications. FROM THE CONTENTS: K. Ito: Semigroups in probability theory.- T. Kato: Abstract evolution equations, linear and quasilinear, revisited.- J.L. Lions: Remarkson systems with incompletely given initial data and incompletely given part of the boundary.- H. Brezis: New energies for harmonic maps and liquid crystals.- D. Fujiwara: Some Feynman path integrals as oscillatory integrals over a Sobolev manifold.- M. Giga, Y. Giga, H. Sohr: L estimates for the Stokes system.- Y. Kawahigashi: Exactly solvable orbifold models and subfactors.- H. Kitada: Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for the long-range systems. Y. Kobayashi, S. Oharu: Semigroups oflocally Lipschitzian operators and applications.- H. Komatsu: Operational calculus and semi-groups of operators.

Numerical Analysis: Historical Developments in the 20th Century

Author : C. Brezinski
Publisher : Elsevier
ISBN 13 : 0444598588
Total Pages : 512 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Numerical Analysis: Historical Developments in the 20th Century by : C. Brezinski

Download or read book Numerical Analysis: Historical Developments in the 20th Century written by C. Brezinski and published by Elsevier. This book was released on 2012-12-02 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.

The Periodic Unfolding Method

Author : Doina Cioranescu
Publisher : Springer
ISBN 13 : 9811330328
Total Pages : 508 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis The Periodic Unfolding Method by : Doina Cioranescu

Download or read book The Periodic Unfolding Method written by Doina Cioranescu and published by Springer. This book was released on 2018-11-03 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on the subject of the periodic unfolding method (originally called "éclatement périodique" in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems. Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV). The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III). A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V). Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI). This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field.

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.

French Mathematical Seminars

Author : Nancy D. Anderson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801291
Total Pages : 198 pages
Book Rating : 4.8/5 (12 download)

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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.

Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations

Author : R. Glowinski
Publisher : SIAM
ISBN 13 : 9780898712780
Total Pages : 438 pages
Book Rating : 4.7/5 (127 download)

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Book Synopsis Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations by : R. Glowinski

Download or read book Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations written by R. Glowinski and published by SIAM. This book was released on 1991-01-01 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the notion that by breaking the domain of the original problem into subdomains, such an approach can, if properly implemented, lead to a considerable speedup. The methods are particularly well suited for parallel computers.

A Panorama of Mathematics: Pure and Applied

Author : Carlos M. da Fonseca
Publisher : American Mathematical Soc.
ISBN 13 : 1470416689
Total Pages : 292 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Panorama of Mathematics: Pure and Applied by : Carlos M. da Fonseca

Download or read book A Panorama of Mathematics: Pure and Applied written by Carlos M. da Fonseca and published by American Mathematical Soc.. This book was released on 2016-02-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Mathematics and its Applications-2014, held from November 14-17, 2014, at Kuwait University, Safat, Kuwait. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpufThis volume contains the proceedings of the Conference on Mathematics and its Applications–2014, held from November 14–17, 2014, at Kuwait University, Safat, Kuwait. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpuf