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Etude De La Resolution Des Equations Aux Derivees Partielles En 3d Sur Des Machines Paralleles
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Book Synopsis Etude de la résolution des équations aux dérivées partielles en 3D sur des machines parallèles by : Bernard Siaud
Download or read book Etude de la résolution des équations aux dérivées partielles en 3D sur des machines parallèles written by Bernard Siaud and published by . This book was released on 1995 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Une étude comparative de différentes machines parallèles a été réalisée à partir d'un algorithme type résolvant un systeme d'équations aux dérivées partielles (EDPs). Ce travail nous a permis d'évaluer l'influence du parallèlisme sur les temps de calcul et de communication interprocesseur. Au vu des résultats, nous avons pu définir, de facon plus précise, le cahier des charges de la machine HA3D dediée à la résolution des EDPs. Des algorithmes simples ont été développés pour améliorer la convergence de la méthode de gauss-seidel (diminuer le nombre de calculs) : approximation par maillages grossiers (AMG), variation du coefficient de sousrelaxation (VCS). La première methode consiste a initialiser les valeurs des variables (grandeurs physiques à dèterminer) par un calcul sur des maillages plus grossiers du domaine d'ètude, discretise par les mèthodes des volumes finis ou des diffèrences finies. La méthode VCS est utilisée lors de la remise à jour des coefficients pour tenir compte de la dependance des variables. Pour tester des machines paralleles, nous avons utilise une methode originale de mesure de performances. Les résultats ont montré que dans le cas de la machine paragon, la plus récente, les calculs recouvrent presque totalement les communications. Par conséquent, seule la déterioration de l'algorithme limitait le speed-up. Nous avons également vérifié que l'efficacité du systême d'exploitation (pour une machine donnée) était un point important pour les communications interprocesseurs.
Book Synopsis Etude de la résolution des équations aux derivées partielles en 3D sur des machines parallèles by : Bernard Siaud
Download or read book Etude de la résolution des équations aux derivées partielles en 3D sur des machines parallèles written by Bernard Siaud and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Etude de préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques by : Patrick Ciarlet
Download or read book Etude de préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques written by Patrick Ciarlet and published by . This book was released on 1992 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dans la première partie de la thèse, nous étudions numériquement et théoriquement quelques préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques en deux dimensions. Nous montrons que ces méthodes sont efficaces sur une machine d'architecture parallèle possédant quelques dizaines de processeurs. Dans la seconde partie de cette thèse, nous démontrons l'existence d'une décomposition de l'espace des fonctions de carré intégrable l#2(Oméga)#3 dans le cas où le domaine tridimensionnel est connexe ou réunion finie de composantes connexes. Nous appliquons ensuite ce résultat aux équations de la magnétostatique.
Book Synopsis Architecture multiprocesseur dédiée à la résolution des équations aux dérivées partielles en 3D by : Jean-Marc Libs
Download or read book Architecture multiprocesseur dédiée à la résolution des équations aux dérivées partielles en 3D written by Jean-Marc Libs and published by . This book was released on 1994 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE ETUDE CONSISTAIT A POSER LES PRINCIPES D'UNE ARCHITECTURE MULTIPROCESSEUR DEDIEE A UNE FONCTION SPECIFIQUE: LA RESOLUTION DES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES EN 3D. NOUS VISONS UN GAIN DE TEMPS GRACE AU PARALLELISME ET AUX RESTRICTIONS DU DOMAINE D'APPLICATION DU SYSTEME. L'ASPECT NUMERIQUE REPOSE SUR UNE METHODE ITERATIVE DE GAUSS-SEIDEL RELAXEE, APPLIQUEE A UNE DISCRETISATION DE TYPE VOLUMES FINIS SUR UN MAILLAGE ADAPTATIF ENTRELACE. CES CHOIX ONT ETE FAITS AVEC L'IDEE D'UNE APPROCHE MULTIPROCESSEUR, POUR OPTIMISER LES GAINS DU PARALLELISME ET LIMITER LES CONTRAINTES DE CELUI-CI. NOUS AVONS ADOPTE UN PARALLELISATION PAR DECOMPOSITION SPATIALE DU DOMAINE SELON UNE GRILLE 3D, CE QUI LIMITE A SIX LE MAXIMUM DE LIAISONS PAR MODULE. IL EST ESSENTIEL DE RECOUVRIR LES TRANSFERTS DE DONNEES PAR LES CALCULS. UNE SIMULATION SUR MACHINE SEQUENTIELLE A MONTRE QUE LES PARAMETRES IMPORTANTS A PRENDRE EN COMPTE LORS DE LA PARALLELISATION DE CES EQUATIONS SONT L'ORDRE DE PARCOURS DES POINTS DU VOLUME ETUDIE, LE NOMBRE DE POINTS ELEMENTAIRES PAR SOUS-DOMAINE, LA COMMUNICATION ENTRE LES DIFFERENTS PROCESSEURS. NOUS AVONS AINSI DEFINI ET TESTE UN ALGORITHME ORIGINAL DE PARCOURS DES POINTS PERMETTANT A LA FOIS DE MIEUX MASQUER LES TRANSFERTS DE DONNEES ET D'OPTIMISER UN FONCTIONNEMENT EN PIPELINE. CE TRAVAIL DE THESE CONSTITUE LA BASE DE TRAVAUX EN COURS AU LABORATOIRE, DONT LES PERSPECTIVES SONT LA REALISATION D'UN SYSTEME A 16 PROCESSEURS QUI CONSERVERA DANS CHACUN DES MODULES L'ARCHITECTURE ET LES ALGORITHMES DEFINIS DANS CETTE ETUDE
Book Synopsis Contribution à l'étude d'une architecture parallèle dédiée à la résolution des systèmes d'équations aux dérivées partielles en trois dimensions by : Jean Durupt
Download or read book Contribution à l'étude d'une architecture parallèle dédiée à la résolution des systèmes d'équations aux dérivées partielles en trois dimensions written by Jean Durupt and published by . This book was released on 1996 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: CE TRAVAIL SE SITUE DANS LE CADRE D'UN PROJET VISANT A REALISER UN SYSTEME ELECTRONIQUE DESTINE A LA RESOLUTION PARALLELE DE SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES EN TROIS DIMENSIONS. COMME IL EST PREVU DE RESOUDRE DE NOMBREUX TYPES DE SYSTEMES D'EQUATIONS, LA METHODE DE RESOLUTION NUMERIQUE DOIT ETRE LA PLUS STABLE POSSIBLE. POUR CELA, NOUS AVONS CHOISI LA METHODE DE GAUSS-SEIDEL RELAXEE. LA METHODE DE RESOLUTION EMPLOYEE IMPLIQUE UNE DISCRETISATION DU DOMAINE ETUDIE PAR LA METHODE DES VOLUMES FINIS OU DES DIFFERENCES FINIES, DE FACON A AVOIR UNE STRUCTURE REGULIERE DES DONNEES A TRAITER PAR LE SYSTEME. POUR SIMPLIFIER LE TRAVAIL DU PROCESSEUR, NOUS AVONS CONCU UN CIRCUIT ASIC QUI ASSURE LA GESTION DES DONNEES PENDANT LES CALCULS. CE CIRCUIT A ETE DECRIT EN LANGAGE VHDL ET DESSINE AVEC LE LOGICIEL SOLO1400. NOUS TESTONS CE CIRCUIT PAR ANALYSE DE SIGNATURE AVEC DES MISR (MULTIPLE INPUT SHIFT REGISTER). NOUS DONNONS UNE ESTIMATION DU TAUX DE COUVERTURE DE CETTE METHODE ET DE LA PROBABILITE D'ALIAS DE LA SIGNATURE OBTENUE
Book Synopsis RESOLUTION INTRINSEQUEMENT PARALLELE DES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES LINEAIRES by : CECILE.. BECARIE
Download or read book RESOLUTION INTRINSEQUEMENT PARALLELE DES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES LINEAIRES written by CECILE.. BECARIE and published by . This book was released on 1997 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'ORIGINE DE CE TRAVAIL EST UN OUTIL MATHEMATIQUE PERMETTANT DE MANIPULER LES POLYNOMES EN PLUSIEURS VARIABLES. NOTAMMENT, L'EXPRESSION D'UNE NORME (LA NORME DE BOMBIERI) ET D'UN PRODUIT SCALAIRE SUR CES POLYNOMES ONT PERMIS DIVERSES APPLICATIONS DONT LA RESOLUTION DE SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES, DETAILLEE DANS CETTE THESE. UN TEL SYSTEME EST REECRIT UNIQUEMENT A L'AIDE DE POLYNOMES EN PLUSIEURS VARIABLES ET GRACE AU PRODUIT SCALAIRE INTRODUIT, LES DERIVATIONS SE TRANSPOSENT EN MULTIPLICATIONS, ET L'ON OBTIENT UN PROBLEME DE DUALITE DANS UN ESPACE HILBERTIEN. LA SOLUTION EST ALORS CHERCHEE SOUS FORME D'UN POLYNOME DANS CET ESPACE. LE SECOND INTERET DE CET OUTIL EST UNE NOUVELLE REPRESENTATION DES POLYNOMES EN PLUSIEURS VARIABLES QUI PERMET DE LES STRUCTURER ET DONC DE LES MANIPULER DE FACON EFFICACE SUR MACHINE PARALLELE. AINSI LA METHODE DE RESOLUTION DE SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES A ETE PROGRAMMEE SUR UNE CONNECTION MACHINE CM5. L'ALGORITHME IMPLANTE UTILISE DONC LA NOTION DE PARALLELISME DES LA FORMULATION MATHEMATIQUE DU PROBLEME. UNE ETUDE DE LA STABILITE THEORIQUE ET NUMERIQUE DE LA METHODE AINSI QU'UN CALCUL DE COMPLEXITE ONT ETE EFFECTUES. L'ALGORITHME DE RESOLUTION A ETE ETENDU AUX EQUATIONS AUX DERIVEES PARTIELLES NON HOMOGENES, C'EST-A-DIRE AU CAS OU LE POLYNOME ASSOCIE A L'OPERATEUR DIFFERENTIEL N'EST PAS HOMOGENE. FINALEMENT, UN ALGORITHME DE DECOMPOSITION DE DOMAINE A ETE DEVELOPPE ; IL PERMET LA RESOLUTION DE SYSTEMES LORSQUE L'APPROXIMATION DES SECONDS MEMBRES NE PEUT ETRE REALISEE PAR UN UNIQUE POLYNOME SUR TOUT LE DOMAINE. LE DOMAINE DE RESOLUTION EST ALORS DIVISE EN SOUS-DOMAINES POUR LESQUELS ON DEFINIT DES SYSTEMES LOCAUX ET DES EQUATIONS DE CONTRAINTES AUX INTERFACES. DIFFERENTS EXEMPLES ILLUSTRENT LE TOUT
Book Synopsis Étude, expression et évaluation du parallélisme dans la résolution d'équations aux dérivées partielles sur une architecture multiprocesseur à mémoires locales by : Philippe Berger
Download or read book Étude, expression et évaluation du parallélisme dans la résolution d'équations aux dérivées partielles sur une architecture multiprocesseur à mémoires locales written by Philippe Berger and published by . This book was released on 1982 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calcul parallele et decomposition dans la resolution d'equations aux derivees partielles de type elleptique by : P. Morice
Download or read book Calcul parallele et decomposition dans la resolution d'equations aux derivees partielles de type elleptique written by P. Morice and published by . This book was released on 1972 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Physics Computing '92: Proceedings Of The 4th International Conference by : Jaroslav Nadrchal
Download or read book Physics Computing '92: Proceedings Of The 4th International Conference written by Jaroslav Nadrchal and published by World Scientific. This book was released on 1993-05-12 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This meeting addresses all aspects of computational methodology with applications to most branches of physics, especially massively parallel computing, symbolic computing, Monte Carlo simulations of quantum systems, neuro-computing, fluids and plasmas, physics education, mesoscopic physics, dynamical systems, molecular dynamics, Monte Carlo techniques, etc.
Book Synopsis Technique Et Science Informatiques by :
Download or read book Technique Et Science Informatiques written by and published by . This book was released on 1988 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Computing by : Roman Trobec
Download or read book Parallel Computing written by Roman Trobec and published by Springer Science & Business Media. This book was released on 2009-06-18 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of parallel programming and architectures is essential for simulating and solving problems in modern computational practice. There has been rapid progress in microprocessor architecture, interconnection technology and software devel- ment, which are in?uencing directly the rapid growth of parallel and distributed computing. However, in order to make these bene?ts usable in practice, this dev- opment must be accompanied by progress in the design, analysis and application aspects of parallel algorithms. In particular, new approaches from parallel num- ics are important for solving complex computational problems on parallel and/or distributed systems. The contributions to this book are focused on topics most concerned in the trends of today’s parallel computing. These range from parallel algorithmics, progr- ming, tools, network computing to future parallel computing. Particular attention is paid to parallel numerics: linear algebra, differential equations, numerical integ- tion, number theory and their applications in computer simulations, which together form the kernel of the monograph. We expect that the book will be of interest to scientists working on parallel computing, doctoral students, teachers, engineers and mathematicians dealing with numerical applications and computer simulations of natural phenomena.
Book Synopsis African Doctorates in Mathematics by :
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.)
Book Synopsis Parallel Iterative Algorithms by : Jacques Mohcine Bahi
Download or read book Parallel Iterative Algorithms written by Jacques Mohcine Bahi and published by CRC Press. This book was released on 2007-11-28 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on grid computing and asynchronism, Parallel Iterative Algorithms explores the theoretical and practical aspects of parallel numerical algorithms. Each chapter contains a theoretical discussion of the topic, an algorithmic section that fully details implementation examples and specific algorithms, and an evaluation of the advantages and dr
Book Synopsis Mastering Calculations in Linear and Nonlinear Mechanics by : Pierre Ladevèze
Download or read book Mastering Calculations in Linear and Nonlinear Mechanics written by Pierre Ladevèze and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the management of calculations in linear and nonlinear mechanics. Particular attention is given to error estimators and indicators for structural analysis. The accent is on the concept of error in constitutive relation. An important part of the work is also devoted to the utilization of the error estimators involved in a calculation, beginning with the parameters related to the mesh. Many of the topics are taken from the most recent research by the authors: local error estimators, extention of the concept of error in constitutive relation to nonlinear evolution problems and dynamic problems, adaptive improvement of calculations in nonlinear mechanics. This work is intended for all those interested in mechanics: students, researchers and engineers concerned with the construction of models as well as their simulation for industrial purposes.
Book Synopsis Broca's Region by : Yosef Grodzinsky
Download or read book Broca's Region written by Yosef Grodzinsky and published by Oxford University Press. This book was released on 2006-04-20 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broca's region has been in the news ever since scientists realized that particular cognitive functions could be localized to parts of the cerebral cortex. Its discoverer, Paul Broca, was one of the first researchers to argue for a direct connection between a concrete behavior--in this case, the use of language--and a specific cortical region. Today, Broca's region is perhaps the most famous part of the human brain, and for over a century, has persisted as the focus of intense research and numerous debates. The name has even penetrated mainstream culture through popular science and the theater. Broca's region is famous for a good reason: As language is one of the most distinctive human traits, the cognitive mechanisms that support it and the tissues in which these mechanisms are housed are also quite complex, and so have the potential to reveal a lot not only about how words, phrases, sentences, and grammatical rules are instantiated in neural tissue, but also, and more broadly, about how brain function relates to behavior. Paul Broca's discoveries were an important, driving force behind the more general effort to relate complex behavior to particular parts of the cerebral cortex, which, significantly, produced the first brain maps.These early studies also, however, suffered from the use of crude techniques, definitions, and distinctions, as well as from ill founded and misdirected assumptions. Although much has been discovered since Broca's work, even today, these problems have not been completely solved. Nonetheless, particularly as a result of important advances made in neuroimaging during the past two decades, Broca's region and all language areas are currently being investigated from every angle. Indeed, as the volume of research into the relations between brain and language has created several communities, each with its own concepts, methods, and considerations, it seemed that it was time to stop, get together, and reflect on the state of the art.This book is the result of that collective reflection, which took place primarily at the Broca's Region Workshop, held in Julich and Aachen, Germany, in June 2004. In it, Yosef Grodzinsky and Katrin Amunts tried to accomplish a nearly impossible task: to mix intellectual traditions and cultures, and juxtapose rather disparate bodies of knowledge, styles of reasoning, and forms of argumentation. Participants were scientists with diverse backgrounds; each invited to contribute his/her particular take, with the hope that a coherent, perhaps even novel, picture would emerge. All of the participants have a special interest in Broca's Region, and represent the myriad angles from which we currently approach it: neuroanatomy, physiology, evolutionary biology, cognitive psychology, clinical neurology, functional imaging, speech and language research, computational biology, and psycho-, neuro-, and theoretical linguistics. The book's main chapters are the contributions of the Workshop's participants and their research teams. Parts of the discussion during the Workshop are included to underscore the richness of viewpoints, and to give readers an idea of the level of interaction that took place. As Broca's region is such a historically significant concept and rich area, this book contains a collection of classic and recent-yet-classic papers. Along with cutting-edge science, Grodzinsky and Amunts want to remind readers of the celebrated past from which much can be learned. The historical chapters include the first two papers written by Paul Broca, as well some work by two of the most important neurologists of the nineteenth century, Ludwig Lichtheim and John Hughlings-Jackson. Also included are parts of twentieth century papers by Korbinian Brodmann, Roman Jakobson, Norman Geschwind, Harold Goodglass, and Jay Mohr. Because this book both reflects the state of the art in Broca's-region research and contains a tribute to its celebrated past, it will be a valuable resource for student and professional researchers. It will also stimulate further interdisciplinary research, which is a significant contribution, as the project called "Broca's region," encompassing the study of brain/language relations, is far from finished.
Book Synopsis Wavelet Analysis on the Sphere by : Sabrine Arfaoui
Download or read book Wavelet Analysis on the Sphere written by Sabrine Arfaoui and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-03-20 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Book Synopsis The Language of Physics by : Elizabeth Garber
Download or read book The Language of Physics written by Elizabeth Garber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is the first explicit examination of the key role that mathematics has played in the development of theoretical physics and will undoubtedly challenge the more conventional accounts of its historical development. Although mathematics has long been regarded as the "language" of physics, the connections between these independent disciplines have been far more complex and intimate than previous narratives have shown. The author convincingly demonstrates that practices, methods, and language shaped the development of the field, and are a key to understanding the mergence of the modern academic discipline. Mathematicians and physicists, as well as historians of both disciplines, will find this provocative work of great interest.
