Download or read book Une nouvelle classe de m thodes multigrilles pour les probl mes mixtes written by Philippe Nigon and published by . This book was released on 1984 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pour résoudre des problèmes de type mixte, de matrice (A B**(T)/B 0), par des méthodes multigrilles, on propose d'utiliser comme lisseurs des variantes de la méthode d'Uzawa. Dans le cas de la méthode d'Uzawa on établit la propriété de lissage et on démontre la convergence indépendante de H en suivant une étude W. Hackbusch. On applique ce type de méthodes au problème de Stokes bidimensionnel, discrétisé par le schéma classique. On effectue de nombreux essais numériques et on teste l'influence des différents paramètres sur l'efficacité des méthodes 2-grilles, multigrilles et "full-multigrilles". Avec un bon choix des paramètres, on obtient une meilleure efficacité avec ces méthodes, qu'en utilisant le lisseur de "relaxation distribuée" de A. Brandt. On teste des systèmes jusqu'à un nombre d'inconnues de l'ordre de 200 000 et on observe les comportements asymptotiques classiques en 0 (Nlog N) pour les méthodes multigrilles et 0(N) pour la version FMG. Le solveur rapide de Stokes obtenu pourrait être appliqué à la résolution des équations de Navier-Stokes, et les méthodes proposées étendues à d'autres problèmes mixtes.
Download or read book Etude d une classe de m thodes multigrilles pour les probl mes variationnels written by François Musy and published by . This book was released on 1985 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Multi Grid Methods written by Dietrich Braess and published by Vieweg+teubner Verlag. This book was released on 1985 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the week of December 8-13, 1984, a conference on Multi-Grid Methods was held at the Mathematisches Forschungs institut (Mathematical Research Institute) in Oberwolfach. The conference was suggested by the GAMM-Committee "Effiziente numerische Verfahren fUr partielle Differentialgleichungen". We were pleased to have 42 participants from 12 countries. These proceedings contain some contributions to the confe rence. The centre of interest in the more theoretical contri butions were exact convergence proofs for multi-grid method. Here, the theoretical foundation for the application of the method to the Stokes equations, the biharmonic equation in its formulation as a mixed finite element problem and other more involved problems were investigated. Moreover, improvements and new attacks for getting quantitative results on convergence rates were reported. Another series of contributions was concerned with the de velopment of highly efficient and fast algorithms for various partial differential equations. Also in this framework, the Stokes and the biharmonic equations were investigated. Other lectures treated problems from fluid mechanics (as Navier Stokes and Euler equations), the dam-problem and eigenvalue problems. The editors would like to thank Professor M. Barner, the director of Mathematisches Forschungsinstitut Oberwolfach for making this conference possible. D. Braess, Bochum W. Hackbusch, Kiel U. Trottenberg, St. Augustin v CONTENTS O. AXELSSON: A mixed variable finite element method for the efficient solution of nonlinear diffusion and pot- tial flow equations ................................... .
Download or read book ETUDE D UNE CLASSE DE METHODES MULTIGRILLES POUR LES PROBLEMES VARIATIONNELS written by FRANCOIS.. MUSY and published by . This book was released on 1985 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: PRESENTATION ET ANALYSE DE LA METHODE MULTIGRILLE SUR UN PROBLEME MODELE SIMPLE. L'ITERATION MULTIGRILLE : DEFINITIONS ET ETUDE DE CONVERGENCE A PARTIR DE FACTEURS 2 NIVEAUX. LES FACTEURS 2 NIVEAUX : PROPRIETES GENERALES ET ESTIMATIONS POUR DIFFERENTES CLASSES DE LISSEURS. QUELQUES ESTIMATIONS NUMERIQUES DE FACTEURS 2 NIVEAUX. UNE METHODE MULTINIVEAU POUR LES PROBLEMES DE TYPE POINT-SELLE
Download or read book Computational Fluid Dynamics written by and published by . This book was released on 1986 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book African Doctorates in Mathematics written by and published by Lulu.com. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Download or read book Geometric Properties of Banach Spaces and Nonlinear Iterations written by Charles Chidume and published by Springer Science & Business Media. This book was released on 2009-03-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.
Download or read book Particle Modeling written by Donald Greenspan and published by Springer Science & Business Media. This book was released on 1997-09-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference for the field of particle modelling - the study of dynamical behaviour of solids and fluids in response to external forces, with the solids and fluids modelled as systems of atoms and molecules.
Download or read book Applied Reactor Physics written by Alain Hébert and published by Presses inter Polytechnique. This book was released on 2009 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abstract Differential Equations written by Samuel Zaidman and published by San Francisco : Pitman Advanced Pub. Program. This book was released on 1979 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with linear differential equations in Banach and Hilbert spaces whose coefficients are linear unbounded operators. Looking for examples or applications, the most natural ones are found in the theory of partial differential equations: if to one of the variables is given a privilegiate position and all the others are put together obtains 'at once' an ordinary 'differential' equation with respect to the variable. Adding boundary conditions in order to ensure definiteness of the solutions can often be translated in terms of considering solutions in some convenient linear--often normed--function spaces.
Download or read book Transport Theory written by James J. Duderstadt and published by John Wiley & Sons. This book was released on 1979 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems after each chapter
Download or read book Water Flow and Solute Transport in Soils written by David Russo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: A year has passed since Eshel Bresler, my good friend and colleague, and a member of the editorial board of the Advanced Series in Agricultural Sciences, died suddenly while on a visit to the Chinese Academy of Sciences in Beijing. We had worked together for almost 30 years at the Institute of Soils and Water, ARO, The Volcani Center at Bet Dagan. At the very beginning of our scientific careers we cooperated directly and as a result one of our first publications was coauthored (Soil Sci. 101:205-209, 1966). Thereafter, our specific research interests diver sified, but we continued to work together, with similar approaches to research, and to strive towards the development of Israel soil science and its integration into general worldwide scientific progress. I don't need to emphasize Eshel's contribution to the understan ding of the processes governing water flow and solute transport pro cesses in soils and unsaturated zones. The contributions to this Volume by such a body of outstanding scientists shows the apprecia tion of the international scientific community to his research achievements.
Download or read book History of Mathematics in Africa 2000 2011 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Computational Science written by Yousry Azmy and published by Springer Science & Business Media. This book was released on 2010-04-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear engineering has undergone extensive progress over the years. In the past century, colossal developments have been made and with specific reference to the mathematical theory and computational science underlying this discipline, advances in areas such as high-order discretization methods, Krylov Methods and Iteration Acceleration have steadily grown. Nuclear Computational Science: A Century in Review addresses these topics and many more; topics which hold special ties to the first half of the century, and topics focused around the unique combination of nuclear engineering, computational science and mathematical theory. Comprising eight chapters, Nuclear Computational Science: A Century in Review incorporates a number of carefully selected issues representing a variety of problems, providing the reader with a wealth of information in both a clear and concise manner. The comprehensive nature of the coverage and the stature of the contributing authors combine to make this a unique landmark publication. Targeting the medium to advanced level academic, this book will appeal to researchers and students with an interest in the progression of mathematical theory and its application to nuclear computational science.
Download or read book The Physics of Nuclear Reactors written by Serge Marguet and published by Springer. This book was released on 2018-02-26 with total page 1462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume offers readers a progressive and highly detailed introduction to the complex behavior of neutrons in general, and in the context of nuclear power generation. A compendium and handbook for nuclear engineers, a source of teaching material for academic lecturers as well as a graduate text for advanced students and other non-experts wishing to enter this field, it is based on the author’s teaching and research experience and his recognized expertise in nuclear safety. After recapping a number of points in nuclear physics, placing the theoretical notions in their historical context, the book successively reveals the latest quantitative theories concerning: • The slowing-down of neutrons in matter • The charged particles and electromagnetic rays • The calculation scheme, especially the simplification hypothesis • The concept of criticality based on chain reactions • The theory of homogeneous and heterogeneous reactors • The problem of self-shielding • The theory of the nuclear reflector, a subject largely ignored in literature • The computational methods in transport and diffusion theories Complemented by more than 400 bibliographical references, some of which are commented and annotated, and augmented by an appendix on the history of reactor physics at EDF (Electricité De France), this book is the most comprehensive and up-to-date introduction to and reference resource in neutronics and reactor theory.
Download or read book History of Mathematics in Africa 1986 1999 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Soil Water Solute Process Characterization written by Javier Alvarez-Benedi and published by CRC Press. This book was released on 2019-09-23 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: The practitioner or researcher often faces complex alternatives when selecting a method to characterize properties governing a soil process. After years of research and development, environmental and agricultural professionals now have an array of methods for characterizing soil processes. Well-established methods, however, may not be suitable for the specific conditions of a study since many soil characteristics are intrinsically variable. An objective, integrated approach for soil characterization is needed to more effectively quantify parameters. Soil-Water-Solute Process Characterization goes beyond technical guidance and addresses the complicating factors such as spatial and temporal variability of soil processes, scale issues, soil structure, and the trade-offs between methods. It focuses on advanced methods for the monitoring and modeling of mass transfer processes in soil. Expert contributors present limitations to well-known methods and alternatives, discussing their practical applications for characterization efforts, evaluating strengths and weaknesses, and focusing on a reduced set of selected techniques. Three in-depth sections cover everything from multidisciplinary approaches for assessing subsurface non-point source pollution to techniques for characterizing water and energy balances at the soil-plant-atmosphere interface, field methods for monitoring soil water status, and computer models for characterizing the effect of chemicals in soil. This single-source reference is transforming method selection and our understanding of the principles, advantages, and limitations of the available monitoring techniques. Written in a simple and straightforward manner, Soil-Water-Solute Process Characterization is a detailed cookbook and a useful, practical reference for students, practitioners, and researchers.
