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Methodes Numeriques Pour Les 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 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 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 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 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 Numerical Methods for Nonlinear Elliptic Differential Equations by : Klaus Böhmer
Download or read book Numerical Methods for Nonlinear Elliptic Differential Equations written by Klaus Böhmer and published by Oxford University Press. This book was released on 2010-10-07 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boehmer systmatically handles the different numerical methods for nonlinear elliptic problems.
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 Analysis and Numerical Methods for Science and Technology by : Robert Dautray
Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.
Book Synopsis Mathematical Analysis and Its Applications by : S. M. Mazhar
Download or read book Mathematical Analysis and Its Applications written by S. M. Mazhar and published by Elsevier. This book was released on 2014-05-17 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications. The book presents studies that discuss several mathematical analysis methods and their respective applications. The text presents 38 papers that discuss topics, such as approximation of continuous functions by ultraspherical series and classes of bi-univalent functions. The representation of multipliers of eigen and joint function expansions of nonlocal spectral problems for first- and second-order differential operators is also discussed. The book will be of great interest to researchers and professionals whose work involves the use of mathematical analysis.
Book Synopsis Mathematical Foundations of Computational Electromagnetism by : Franck Assous
Download or read book Mathematical Foundations of Computational Electromagnetism written by Franck Assous and published by Springer. This book was released on 2018-06-09 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.
Book Synopsis Numerical Approximation of Partial Differential Equations by : E.L. Ortiz
Download or read book Numerical Approximation of Partial Differential Equations written by E.L. Ortiz and published by Elsevier. This book was released on 1987-02-01 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers is concerned with problems arising in the numerical solution of differential equations, with an emphasis on partial differential equations. There is a balance between theoretical studies of approximation processes, the analysis of specific numerical techniques and the discussion of their application to concrete problems relevant to engineering and science. Special consideration has been given to innovative numerical techniques and to the treatment of three-dimensional and singular problems. These topics are discussed in several of the invited papers.The contributed papers are divided into five parts: techniques of approximation theory which are basic to the numerical treatment of differential equations; numerical techniques based on discrete processes; innovative methods based on polynomial and rational approximation; variational inequalities, conformal transformation and asymptotic techniques; and applications of differential equations to problems in science and engineering.
Book Synopsis Numerical Approximation of Partial Differential Equations by : Alfio Quarteroni
Download or read book Numerical Approximation of Partial Differential Equations written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).
Book Synopsis Research in History and Philosophy of Mathematics by : Maria Zack
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2023-05-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eighteen papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics. Some of the topics explored include Arabic editions of Euclid’s Elements from the thirteenth century and their role in the assimilation of Euclidean geometry into the Islamic intellectual tradition Portuguese sixteenth century recreational mathematics as found in the Tratado de Prática Darysmetica A Cambridge correspondence course in arithmetic for women in England in the late nineteenth century The mathematical interests of the famous Egyptologist Thomas Eric (T. E.) Peet The history of Zentralblatt für Mathematik and Mathematical Reviews and their role in creating a publishing infrastructure for a global mathematical literature The use of Latin squares for agricultural crop experiments at the Rothamsted Experimental Station The many contributions of women to the advancement of computing techniques at the Cavendish Laboratory at the University of Cambridge in the 1960s The volume concludes with two short plays, one set in Ancient Mesopotamia and the other in Ancient Egypt, that are well suited for use in the mathematics classroom. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Book Synopsis Publications du Laboratoire d'analyse numérique by :
Download or read book Publications du Laboratoire d'analyse numérique written by and published by . This book was released on 2002 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Bibliography for the Numerical Solution of Partial Differential Equations by : John H. Giese
Download or read book A Bibliography for the Numerical Solution of Partial Differential Equations written by John H. Giese and published by . This book was released on 1969 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: A list of 2561 references to the numerical solution of partial differential equations has been compiled. References to reviews in several abstracting journals have been given, and a crude index has been prepared. (Author).
Book Synopsis Numerical Methods in Fluid Dynamics by : Franco Brezzi
Download or read book Numerical Methods in Fluid Dynamics written by Franco Brezzi and published by Springer. This book was released on 2006-11-14 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Implementation of Finite Element Methods for Navier-Stokes Equations by : F. Thomasset
Download or read book Implementation of Finite Element Methods for Navier-Stokes Equations written by F. Thomasset and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.
