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Grid Extra Fine
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Book Synopsis Numerical Grid Methods and Their Application to Schrödinger’s Equation by : C. Cerjan
Download or read book Numerical Grid Methods and Their Application to Schrödinger’s Equation written by C. Cerjan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of numerical grid methods to solve the Schrodinger equation has rapidly evolved in the past decade.The early attempts to demonstrate the computational viability of grid methods have been largely superseded by applications to specific problems and deeper research into more sophisticated quadrature schemes. Underpinning this research, of course, is the belief that the generic nature of grid methods can enjoy a symbiotic development with advances in computer technology, harnessing this technology in an effective manner. The contributions to this proceedings demonstrate these points in full: several appli cations displayed creative use and extension of existing grid methodology; other research concentrated on the development of new quadrature schemes or mixed numerical meth ods. The research represented ranges from highly specific spectral simulations of van der Waals complexs to general schemes for reactive scattering. The novelty of grid methods in Density Functional Theory calculations should also be highlighted since it represents an alternative to standard basis set expansion techniques and might offer distinct advantages to the standard techniques. A deliberate attempt was made to present research material with more motivational and background discussion than is typical of research publications. It is hoped that these contributed proceedings will be useful to students and researchers outside the field to have a rapid and complete introduction to many of the exciting uses of grid methodology in atomic and molecular physics. Special thanks are due to the NATO Science Committee for its generous support of the activities of this workshop.
Book Synopsis Multiblock Grid Generation by : Nigel P. Weatherill
Download or read book Multiblock Grid Generation written by Nigel P. Weatherill and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics research, especially for aeronautics, continues to be a rewarding and industrially relevant field of applied science in which to work. An enthusiastic international community of expert CFD workers continue to push forward the frontiers of knowledge in increasing number. Applications of CFD technology in many other sectors of industry are being successfully tackled. The aerospace industry has made significant investments and enjoys considerable benefits from the application of CFD to its products for the last two decades. This era began with the pioneering work ofMurman and others that took us into the transonic (potential flow) regime for the first time in the early 1970's. We have also seen momentous developments of the digital computer in this period into vector and parallel supercomputing. Very significant advances in all aspects of the methodology have been made to the point where we are on the threshold of calculating solutions for the Reynolds-averaged Navier-Stokes equations for complete aircraft configurations. However, significant problems and challenges remain in the areas of physical modelling, numerics and computing technology. The long term industrial requirements are captured in the U. S. Governments 'Grand Challenge' for 'Aerospace Vehicle Design' for the 1990's: 'Massively parallel computing systems and advanced parallel software technology and algorithms will enable the development and validation of multidisciplinary, coupled methods. These methods will allow the numerical simulation and design optimisation of complete aerospace vehicle systems throughout the flight envelope'.
Download or read book Grid - Extra Fine written by Joe Dolan and published by . This book was released on 2012-03-13 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Orange Design Sketchbook Line features a variety of designing options and paper layouts for the graphic and web developer, typographer and creative works designer. The Grid: Extra Fine series features finely divided squares with roughly 25 divisions per inch, in a light grey format for inking your works. Each book features 100 sketch ready pages and is perfect for capturing your ideas on the fly! for more titles available through Amazon, visit www.designinorange.com. Orange Design Sketchbooks are a product/division of LayFlat Sketchbooks.
Book Synopsis multigrid methods by : Stephen F. Mccormick
Download or read book multigrid methods written by Stephen F. Mccormick and published by CRC Press. This book was released on 2020-08-12 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
Download or read book Stamps written by and published by . This book was released on 1943 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multigrid Techniques by : Achi Brandt
Download or read book Multigrid Techniques written by Achi Brandt and published by SIAM. This book was released on 2011-07-07 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition of a classic text presents the best practices of developing multigrid solvers for large-scale computational problems. This book will be useful to practitioners and researchers, as well as students and instructors, in many areas of computational science and engineering, applied mathematics and numerical analysis.
Download or read book Research in Progress written by and published by . This book was released on 1988 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Multigrid Tutorial by : William L. Briggs
Download or read book A Multigrid Tutorial written by William L. Briggs and published by SIAM. This book was released on 2000-01-01 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition preserves the introductory spirit of the first edition while roughly doubling the amount of material covered. The topics of the first edition have been enhanced with additional discussion, new numerical experiments, and improved figures. New topics in the second edition include nonlinear equations, Neumann boundary conditions, variable mesh and variable coefficient problems, anisotropic problems, algebraic multigrid (AMG), adaptive methods, and finite elements. This introductory book is ideally suited as a companion textbook for graduate numerical analysis courses. It is written for computational mathematicians, engineers, and other scientists interested in learning about multigrid.
Book Synopsis Multigrid Finite Element Methods for Electromagnetic Field Modeling by : Yu Zhu
Download or read book Multigrid Finite Element Methods for Electromagnetic Field Modeling written by Yu Zhu and published by John Wiley & Sons. This book was released on 2006-03-10 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive monograph that features state-of-the-art multigrid methods for enhancing the modeling versatility, numerical robustness, and computational efficiency of one of the most popular classes of numerical electromagnetic field modeling methods: the method of finite elements. The focus of the publication is the development of robust preconditioners for the iterative solution of electromagnetic field boundary value problems (BVPs) discretized by means of finite methods. Specifically, the authors set forth their own successful attempts to utilize concepts from multigrid and multilevel methods for the effective preconditioning of matrices resulting from the approximation of electromagnetic BVPs using finite methods. Following the authors' careful explanations and step-by-step instruction, readers can duplicate the authors' results and take advantage of today's state-of-the-art multigrid/multilevel preconditioners for finite element-based iterative electromagnetic field solvers. Among the highlights of coverage are: * Application of multigrid, multilevel, and hybrid multigrid/multilevel preconditioners to electromagnetic scattering and radiation problems * Broadband, robust numerical modeling of passive microwave components and circuits * Robust, finite element-based modal analysis of electromagnetic waveguides and cavities * Application of Krylov subspace-based methodologies for reduced-order macromodeling of electromagnetic devices and systems * Finite element modeling of electromagnetic waves in periodic structures The authors provide more than thirty detailed algorithms alongside pseudo-codes to assist readers with practical computer implementation. In addition, each chapter includes an applications section with helpful numerical examples that validate the authors' methodologies and demonstrate their computational efficiency and robustness. This groundbreaking book, with its coverage of an exciting new enabling computer-aided design technology, is an essential reference for computer programmers, designers, and engineers, as well as graduate students in engineering and applied physics.
Book Synopsis Thermal Management for Opto-electronics Packaging and Applications by : Xiaobing Luo
Download or read book Thermal Management for Opto-electronics Packaging and Applications written by Xiaobing Luo and published by John Wiley & Sons. This book was released on 2024-05-29 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic guide to the theory, applications, and design of thermal management for LED packaging In Thermal Management for Opto-electronics Packaging and Applications, a team of distinguished engineers and researchers deliver an authoritative discussion of the fundamental theory and practical design required for LED product development. Readers will get a solid grounding in thermal management strategies and find up-to-date coverage of heat transfer fundamentals, thermal modeling, and thermal simulation and design. The authors explain cooling technologies and testing techniques that will help the reader evaluate device performance and accelerate the design and manufacturing cycle. In this all-inclusive guide to LED package thermal management, the book provides the latest advances in thermal engineering design and opto-electronic devices and systems. The book also includes: A thorough introduction to thermal conduction and solutions, including discussions of thermal resistance and high thermal conductivity materials Comprehensive explorations of thermal radiation and solutions, including angular- and spectra-regulation radiative cooling Practical discussions of thermally enhanced thermal interfacial materials (TIMs) Complete treatments of hybrid thermal management in downhole devices Perfect for engineers, researchers, and industry professionals in the fields of LED packaging and heat transfer, Thermal Management for Opto-electronics Packaging and Applications will also benefit advanced students focusing on the design of LED product design.
Book Synopsis A New Fast and Accurate Grid Deformation Method for R-adaptivity in the Context of High Performance Computing by : Matthias Grajewski
Download or read book A New Fast and Accurate Grid Deformation Method for R-adaptivity in the Context of High Performance Computing written by Matthias Grajewski and published by Logos Verlag Berlin GmbH. This book was released on 2008 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thema der vorliegenden Arbeit ist die Entwicklung und Realisierung einer neuen Methode zur Gitterdeformation im Hinblick auf die Anwendung in r- und rh-adaptiven Verfahren. Das neu entwickelte Verfahren wird sowohl numerisch als auchtheoretisch analysiert. Die vorliegende Arbeit ist in sechs Kapitel gegliedert.Das erste Kapitel stellt den gegenwartigen Stand der Mathematik auf den Gebieten Fehlerkontrolle und Gittersteuerung dar. Besonderes Augenmerk liegt auf einer ubersicht gangiger Verfahren zur Gitterdeformation, also Methoden zur Neuanordnung der Punkte eines gegebenen Gitters unter Beibehaltung seiner Topologie. Hinzu kommt die Darstellung des Aspekts der hardware-orientierten Numerik. Hier geht es darum, durch ein geeignetes Design der numerischen Verfahren die Leistungsfahigkeit heutiger Computer voll auszuschopfen. Im zweiten Kapitel wird das Basisverfahren zur Gitterdeformation hergeleitet und grundlegende Eigenschaften der Methode bewiesen. Das neue Verfahren wird mit dem Vorlauferverfahren von Liao verglichen, wobei die weitaus grossere Flexibilitat der neuen Methode deutlich wird. Im letzten Teil dieses Kapitels wird die numerische Realisierung der Deformationsmethode mithilfe von FE-Ansatzen thematisiert. Das dritte Kapitel beinhaltet den Kern der Dissertation: Die theoretische und numerische Analyse des im zweiten Kapitel vorgestellten Basisverfahrens. Nach der Formulierung eines geeigneten Konvergenzbegriffes wird die Konvergenz der numerischen Realisierung des Deformationsverfahrens bewiesen. Sowohl der Konvergenzbegriff als auch die Konvergenzaussage sind neu und wurden bisher in der Literatur auch nicht in ahnlicher Weise formuliert. Ausfuhrliche numerische Tests bestatigen die theoretischen Ergebnisse. Das in Kapitel 2 eingefuhrte Basisverfahren wird hinsichtlich Genauigkeit und Robustheit weiterentwickelt. Durch geeignete Ausnutzung der Gitterhierarchie gelingt es mit der sog. Multilevel-Deformation ein Verfahren bereitzustellen, welches von optimaler Komplexitat ist. Im letzten Teil des Kapitels wird diese Multilevel-Deformation auf das L-Gebiet angewandt. Den Schwerpunkt im vierten Kapitel bildet die Anwendung der Gitterdeformation auf die Poisson-Gleichung auf dem L-Gebiet. Der Gradientenfehler wird auf a priori deformierten Gittern betrachtet. Die mit der Gitterdeformation erzeugten Gitter ermoglichen eine fur Q_1-Elemente optimale Konvergenzordnung. Nach einer numerischen Untersuchung des ZZ-Schatzers auf solchen Gittern wird ein voll r-adaptiver Algorithmus formuliert und getestet. Die Gitterdeformation wird nun vollautomatisch durch der geschatzten Fehlerverteilung gesteuert. Die so gewonnenen Ergebnisse sind in ihrer Genauigkeit mit den a priori gewonnen Resultaten vergleichbar. Das funfte Kapitel beinhaltet eine Erweiterung des zuvor eingefuhrten r-adaptiven Verfahrens um regulare Gitterverfeinerung und ihre Anwendung auf die Laplace-Gleichung auf dem L-Gebiet. Es werden zwei rh-adaptive Algorithmen betrachtet. Der zweite Algorithmus verzichtet auf hangende Knoten und erweist sich dem ersten als uberlegen; die Resultate entsprechen in ihrer Genauigkeit etwa den mit reiner r-Adaptivitat gewonnen Werten, erfordern aber eine erheblich geringere Rechenzeit.Im letzten Abschnitt wird die zuvor entwickelte rh-adaptive Methode auf Diffusionsprobleme mit anisotropem Diffusionstensor angewendet, die sich aus Problemen des Grundwasserflusses motivieren. Mithilfe des rh-adaptiven Verfahrens konnen nicht nur der Gradientenfehler, sondern auch abgeleitete Grossen wie der Punktfehler signifikant verringert werden. Hierbei wird die Verteilung des Punktfehlers mithilfe der DWR-Methode ermittelt. Das sechste und letzte Kapitel beinhaltet eine Zusammenfassung der Arbeit und zeigtAnsatzpunkte fur eine Fortentwicklung auf.
Book Synopsis Plates and Shells by : Michel Fortin
Download or read book Plates and Shells written by Michel Fortin and published by American Mathematical Soc.. This book was released on 1999 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features the proceedings from the Summer Seminar of the Canadian Mathematical Society held at Université Laval. The purpose of the seminar was to gather both mathematicians and engineers interested in the theory or application of plates and shells, or more generally, in the modelisation of thin structures. From this, it was hoped that a better understanding of the problem would emerge for both groups of professionals. New aspects from the mathematical point of view and new applications posing new challenges are reported. This volume offers a snapshot of the state of the art of this rapidly evolving topic.
Book Synopsis The Quilters Ultimate Visual Guide by : Ellen Pahl
Download or read book The Quilters Ultimate Visual Guide written by Ellen Pahl and published by Rodale. This book was released on 1997 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains over 700 how-to illustrations for backing quilts, embellishment, paper piecing, machine quilting, and using templates and stencils
Book Synopsis Montgomery Ward by : Montgomery Ward
Download or read book Montgomery Ward written by Montgomery Ward and published by . This book was released on 1924 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fast and Accurate Finite-Element Multigrid Solvers for PDE Simulations on GPU Clusters by : Dominik Göddeke
Download or read book Fast and Accurate Finite-Element Multigrid Solvers for PDE Simulations on GPU Clusters written by Dominik Göddeke and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation demonstrates that graphics processors (GPUs) as representatives of emerging many-core architectures are very well-suited for the fast and accurate solution of large, sparse linear systems of equations, using parallel multigrid methods on heterogeneous compute clusters. Such systems arise for instance in the discretisation of (elliptic) partial differential equations with finite elements. Fine-granular parallelisation techniques and methods to ensure accuracy are developed that enable at least one order of magnitude speedup over highly-tuned conventional CPU implementations, without sacrificing neither accuracy nor functionality.
Download or read book Grid: Extra Fine written by Joe Dolan and published by . This book was released on 2012-03-13 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Orange Design Sketchbook Line features a variety of designing options and paper layouts for the graphic and web developer, typographer and creative works designer. The Grid: Extra Fine series features finely divided squares with roughly 25 divisions per inch, in a light grey format for inking your works. Each book features 100 sketch ready pages and is perfect for capturing your ideas on the fly! for more titles available through Amazon, visit www.designinorange.com. Orange Design Sketchbooks are a product/division of LayFlat Sketchbooks.
Download or read book Radio Broadcast written by and published by . This book was released on 1928 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
