Parallel Multilevel Methods
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Parallel Multilevel Methods
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Author : Gerhard Zumbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Parallel Multilevel Methods written by Gerhard Zumbusch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Numerical simulation promises new insight in science and engineering. In ad dition to the traditional ways to perform research in science, that is laboratory experiments and theoretical work, a third way is being established: numerical simulation. It is based on both mathematical models and experiments con ducted on a computer. The discipline of scientific computing combines all aspects of numerical simulation. The typical approach in scientific computing includes modelling, numerics and simulation, see Figure l. Quite a lot of phenomena in science and engineering can be modelled by partial differential equations (PDEs). In order to produce accurate results, complex models and high resolution simulations are needed. While it is easy to increase the precision of a simulation, the computational cost of doing so is often prohibitive. Highly efficient simulation methods are needed to overcome this problem. This includes three building blocks for computational efficiency, discretisation, solver and computer. Adaptive mesh refinement, high order and sparse grid methods lead to discretisations of partial differential equations with a low number of degrees of freedom. Multilevel iterative solvers decrease the amount of work per degree of freedom for the solution of discretised equation systems. Massively parallel computers increase the computational power available for a single simulation.
Parallel Multilevel Methods
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Author : Gerhard Zumbusch
language : en
Publisher:
Release Date : 2003-11-26
Parallel Multilevel Methods written by Gerhard Zumbusch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-26 with categories.
Domain Decomposition
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Author : Barry Smith
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-25
Domain Decomposition written by Barry Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-25 with Computers categories.
Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.
Parallel Multilevel Methods For Transport Equations
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Author : Suely Oliveira
language : en
Publisher:
Release Date : 1993
Parallel Multilevel Methods For Transport Equations written by Suely Oliveira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computer algorithms categories.
Wavelets Multilevel Methods And Elliptic Pdes
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Author : M. Ainsworth
language : en
Publisher: Oxford University Press
Release Date : 1997
Wavelets Multilevel Methods And Elliptic Pdes written by M. Ainsworth and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Written at a level accessible to first-year graduate students, this book covers five major topics in numerical analysis: fast multipole methods, eigenvalue problems for differential equations, hierarchic modeling in mechanics, wavelets from filter banks, and multilevel methods. The authors are renowned experts and provide up-to-date overviews, complete with extensive bibliographies, along with new and previously unpublished material. Both students and experienced researchers will find this volume an ideal starting point for pursuing these important topics or applying the methods to their own research. The book contains proceedings from the seventh EPSRC Numerical Analysis Summer School, held in 1996.
Proceedings Of The Seventh Siam Conference On Parallel Processing For Scientific Computing
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Author : David H. Bailey
language : en
Publisher: SIAM
Release Date : 1995-01-01
Proceedings Of The Seventh Siam Conference On Parallel Processing For Scientific Computing written by David H. Bailey and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Science categories.
Proceedings -- Parallel Computing.
Multigrid Methods Iv
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Author : P.W. Hemker
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Multigrid Methods Iv written by P.W. Hemker and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume contains a selection from the papers presented at the Fourth European Multigrid Conference, held in Amsterdam, July 6-9,1993. There were 78 registered participants from 14 different countries, and 56 presentations were given. The preceding conferences in this series were held in Cologne (1981, 1985) and in Bonn (1990). Also at the other side of the Atlantic special multigrid conferences are held regularly, at intervals of two years, always in Copper Mountain, Colorado, US. The Sixth Copper Mountain Conference on Multigrid Methods took place in April, 1993. Circumstances prevented us from putting a larger time interval between the Copper and Amsterdam meetings. The next European meeting is planned in 1996, a year later than the next Copper Meeting. When the first multigrid conference was held in 1981 there was no doubt about the usefulness of a conference dedicated specially to multigrid, because multigrid was a new and relatively unexplored subject, still in a pioneering stage, and pursued by specialists. The past twenty years have shown a rapid growth in theoretical understanding, useful applications and widespread acceptance of multi grid in the applied disciplines. Hence, one might ask whether there is still a need today for conferences specially dedicated to multigrid. The general consensus is that the answer is affirmative. New issues have arisen that are best addressed or need also be addressed from a special multigrid point of view.
Adaptive Parallel Multilevel Methods For Partial Differential Equations
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Author : Gerhard Zumbusch
language : en
Publisher:
Release Date : 2001
Adaptive Parallel Multilevel Methods For Partial Differential Equations written by Gerhard Zumbusch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Parallel Processing For Scientific Computing
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Author : Michael A. Heroux
language : en
Publisher: SIAM
Release Date : 2006-01-01
Parallel Processing For Scientific Computing written by Michael A. Heroux and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Computers categories.
Parallel processing has been an enabling technology in scientific computing for more than 20 years. This book is the first in-depth discussion of parallel computing in 10 years; it reflects the mix of topics that mathematicians, computer scientists, and computational scientists focus on to make parallel processing effective for scientific problems. Presently, the impact of parallel processing on scientific computing varies greatly across disciplines, but it plays a vital role in most problem domains and is absolutely essential in many of them. Parallel Processing for Scientific Computing is divided into four parts: The first concerns performance modeling, analysis, and optimization; the second focuses on parallel algorithms and software for an array of problems common to many modeling and simulation applications; the third emphasizes tools and environments that can ease and enhance the process of application development; and the fourth provides a sampling of applications that require parallel computing for scaling to solve larger and realistic models that can advance science and engineering.
Applied Parallel Computing
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Author : Jack Dongarra
language : en
Publisher: Springer
Release Date : 2006-02-27
Applied Parallel Computing written by Jack Dongarra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-27 with Computers categories.
This book constitutes the refereed proceedings of the 7th International Conference on Applied Parallel Computing, PARA 2004, held in June 2004. The 118 revised full papers presented together with five invited lectures and 15 contributed talks were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections.