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Methodes Spectrales Et Decomposition En Sous Domaines
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Book Synopsis Spectral and High Order Methods for Partial Differential Equations by : C. Canuto
Download or read book Spectral and High Order Methods for Partial Differential Equations written by C. Canuto and published by North Holland. This book was released on 1990 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade high order methods for scientific computing have been attracting increasing interest. This trend has been generated by the need for a higher accuracy in the numerical simulation of more and more complex scientific and technological problems; it is backed up by sound mathematical research, and propelled by the availability of faster supercomputers. Spectral methods have now become the methods preferred in the prediction of many highly structured phenomena. The h-p version of the finite element method has proven extremely effective in handling singularities in structural mechanics. Finite differences have been demonstrated capable of blending flexibility and accuracy in applications to non-smooth problems. Although these and other high order methods originated from different, sometimes even opposite philosophies, they exhibit common features, and share a large part of the methodologies for their mathematical investigation and their algorithmic implementation. The technical content of the 14 invited and 30 general papers presented in this volume reflect the high standard of current research being achieved in this field.
Book Synopsis Spectral Elements for Transport-Dominated Equations by : Daniele Funaro
Download or read book Spectral Elements for Transport-Dominated Equations written by Daniele Funaro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years there has been a growing interest in the development of numerical techniques appropriate for the approximation of differential model problems presenting multiscale solutions. This is the case, for instance, with functions displaying a smooth behavior, except in certain regions where sudden and sharp variations are localized. Typical examples are internal or boundary layers. When the number of degrees of freedom in the discretization process is not sufficient to ensure a fine resolution of the layers, some stabilization procedures are needed to avoid unpleasant oscillatory effects, without adding too much artificial viscosity to the scheme. In the field of finite elements, the streamline diffusion method, the Galerkin least-squares method, the bub ble function approach, and other recent similar techniques provide excellent treatments of transport equations of elliptic type with small diffusive terms, referred to in fluid dynamics as advection-diffusion (or convection-diffusion) equations. Goals This book is an attempt to guide the reader in the construction of a computa tional code based on the spectral collocation method, using algebraic polyno mials. The main topic is the approximation of elliptic type boundary-value par tial differential equations in 2-D, with special attention to transport-diffusion equations, where the second-order diffusive terms are strongly dominated by the first-order advective terms. Applications will be considered especially in the case where nonlinear systems of partial differential equations can be re duced to a sequence of transport-diffusion equations.
Book Synopsis An Introduction to Domain Decomposition Methods by : Victorita Dolean
Download or read book An Introduction to Domain Decomposition Methods written by Victorita Dolean and published by SIAM. This book was released on 2015-12-08 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.?
Book Synopsis Domain Decomposition Methods in Sciences and Engineering by : R. Glowinski
Download or read book Domain Decomposition Methods in Sciences and Engineering written by R. Glowinski and published by . This book was released on 1997-04-30 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain Decomposition Methods are receiving significant attention in scientific and engineering computing. They provide a broad class of effective numerical methods for the solution of large scale mathematical-physical problems from sciences and engineering. This book contains invited and contributed papers from the 8th Domain Decomposition Methods Conference. The topics addressed range from basic theoretical research to industrial applications: basic algorithms, multilevel methods, parallel computing, transport, wave and flow problems. Applications include problems from fluid and structural mechanics, electromagnetics and petroleum engineering.
Book Synopsis Mesh Partitioning Techniques and Domain Decomposition Methods by : Frédéric Magoulès
Download or read book Mesh Partitioning Techniques and Domain Decomposition Methods written by Frédéric Magoulès and published by . This book was released on 2007 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume presents both mesh partitioning techniques and domain decomposition methods. - The topics covered in this book are wide ranging and demonstrate the use of mesh partitioning and domain decomposition methods in fluid mechanics, acoustics and structural mechanics."--BOOK JACKET.
Book Synopsis Spectral Methods and Their Applications by : Benyu Guo
Download or read book Spectral Methods and Their Applications written by Benyu Guo and published by World Scientific. This book was released on 1998 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods. Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction, heat conduction and other fields.The book consists of three parts. The first part deals with orthogonal approximations in Sobolev spaces and the stability and convergence of approximations for nonlinear problems, as the mathematical foundation of spectral methods. In the second part, various spectral methods are described, with some applications. It includes Fourier spectral method, Legendre spectral method, Chebyshev spectral method, spectral penalty method, spectral vanishing viscosity method, spectral approximation of isolated solutions, multi-dimensional spectral method, spectral method for high-order equations, spectral-domain decomposition method and spectral multigrid method. The third part is devoted to some recent developments of spectral methods, such as mixed spectral methods, combined spectral methods and spectral methods on the surface.
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 1995 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis by : Society for Industrial and Applied Mathematics
Download or read book Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis written by Society for Industrial and Applied Mathematics and published by . This book was released on 1999-03 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 11th International Conference on Numerical Methods in Fluid Dynamics by : Douglas L. Dwoyer
Download or read book 11th International Conference on Numerical Methods in Fluid Dynamics written by Douglas L. Dwoyer and published by . This book was released on 1989 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with almost a hundred research communications this volume contains six invited lectures of lasting value. They cover modeling in plasma dynamics, the use of parallel computing for simulations and the applications of multigrid methods to Navier-Stokes equations, as well as other surveys on important techniques. An inaugural talk on computational fluid dynamics and a survey that relates dynamical systems, turbulence and numerical solutions of the Navier-Stokes equations give an exciting view on scientific computing and its importance for engineering, physics and mathematics.
Book Synopsis Optimal Error Analysis of Spectral Methods with Emphasis on Non-constant Coefficients and Deformed Geometries by : Institute for Computer Applications in Science and Engineering
Download or read book Optimal Error Analysis of Spectral Methods with Emphasis on Non-constant Coefficients and Deformed Geometries written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1989 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Mathematics and Applications by :
Download or read book Computational Mathematics and Applications written by and published by . This book was released on 1989 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hypersonic Aerothermodynamics written by and published by . This book was released on 1984 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Lecture series written by and published by . This book was released on 1993 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods in Laminar and Turbulent Flow by :
Download or read book Numerical Methods in Laminar and Turbulent Flow written by and published by . This book was released on 1991 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Besoins informationnels et extraction d'information : Vers une conscience artificielle by : TURENNE Nicolas
Download or read book Besoins informationnels et extraction d'information : Vers une conscience artificielle written by TURENNE Nicolas and published by Lavoisier. This book was released on 2013-02-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage réconcilie la philosophie, la biologie, la sociologie et les sciences cognitives grâce à un dénominateur commun, la conscience. Il en présente un aspect particulier, le concept d’auto-motivation de champ d’activité en tant que moteur biologique d’un état de conscience, et dont l’informatique systémique permet de révéler l’existence. Si la conscience est mal définie, un cadre réduit permet d’en donner une définition plus précise, observable malgré toute la complexité psychologique, sociale et technique de l’individu. Ces observations sont de deux natures : une nature d’activité principale et une nature cognitivo-linguistique, modulées par des facteurs de contrôle intrinsèques et extrinsèques. L’argument exposé consiste à présenter un état de conscience relatif à la notion de besoin informationnel instinctif, donc physiologique, et dont les traces porteuses sur les supports physiques (revues, abonnements, etc.) ou numériques (sms, web, etc.), sont analysables par l’extraction de connaissances.
Book Synopsis La physique des réacteurs nucléaires (2e ed) by : MARGUET Serge
Download or read book La physique des réacteurs nucléaires (2e ed) written by MARGUET Serge and published by Lavoisier. This book was released on 2013-10-18 with total page 1344 pages. Available in PDF, EPUB and Kindle. Book excerpt: La physique des réacteurs nucléaires est le premier ouvrage français conçu pour aborder de façon progressive et détaillée la complexité théorique du comportement des neutrons, en situation sûre ou accidentelle. Fruit de l’expérience pédagogique de l’auteur et de son expertise internationale reconnue en sûreté nucléaire, il est rapidement devenu un ouvrage de référence au sein de la communauté nucléaire française. Après des rappels de physique nucléaire replaçant les notions théoriques dans leur contexte historique, l’auteur expose les théories mathématico-physiques les plus récentes concernant : • le ralentissement des neutrons dans la matière ; • les particules chargées et les rayonnements électromagnétiques ; • les phases de calcul, en soulignant les hypothèses simplificatrices ; • le concept de criticité, lorsque se développe et s’entretient une réaction nucléaire en chaîne ; • le calcul théorique des réacteurs homogènes et hétérogènes ; • les problèmes d’autoprotection ; • les méthodes numériques des 2 approches historiques du traitement des neutrons (transport neutronique et diffusion). Cette 2e édition, revue et augmentée, approfondit certaines notions, notamment le spectre théorique de fission, l’effet des liaisons cristallines, l’effet de l’hétérogénéité du champ de température, l’effet Dancoff, les équations du transport en géométrie dimensionnelle, le calcul du facteur anti-trappe, la méthode des neutrons pulsés, l’effet d’ombre de l’intégrale de résonance, la méthode Feynman-a, le traitement des instrumentations de l’EPR… Complété par plus de 400 références bibliographiques, dont de nombreuses commentées et une annexe replaçant les travaux d’EDF dans le contexte national du développement de l’énergie nucléaire, cet ensemble constitue la référence théorique la plus complète en neutronique. Cet ouvrage est conforme aux enseignements de l’Institut de transfert de technologie d’EDF et sert de référentiel aux enseignements de l’École nationale supérieure d’ingénieurs de Bourges (INSA-Centre Val de Loire). Il a été conçu pour les ingénieurs et techniciens sur sites souhaitant enrichir leur propre expertise, pour les étudiants de 3e cycle et les élèves ingénieurs en sciences énergétiques.
