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Author : Roy Peredo Pargas
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.:/5 (922 download)
Download or read book Parallel Solution of Elliptic Partial Differential Equations on a Tree Machine written by Roy Peredo Pargas and published by . This book was released on 1982 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James M. Ortega
Publisher : SIAM
ISBN 13 : 9781611971774
Total Pages : 100 pages
Book Rating : 4.9/5 (717 download)
Download or read book Solution of Partial Differential Equations on Vector and Parallel Computers written by James M. Ortega and published by SIAM. This book was released on 1985-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews, in the context of partial differential equations, algorithm development that has been specifically aimed at computers that exhibit some form of parallelism. Emphasis is on the solution of PDEs because these are typically the problems that generate high computational demands. The authors discuss architectural features of these computers insomuch as they influence algorithm performance, and provide insight into algorithm characteristics that allow effective use of hardware.
Author : Craig C. Douglas
Publisher : SIAM
ISBN 13 : 9780898718171
Total Pages : 153 pages
Book Rating : 4.7/5 (181 download)
Download or read book A Tutorial on Elliptic PDE Solvers and Their Parallelization written by Craig C. Douglas and published by SIAM. This book was released on 2003-01-01 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact yet thorough tutorial is the perfect introduction to the basic concepts of solving partial differential equations (PDEs) using parallel numerical methods. In just eight short chapters, the authors provide readers with enough basic knowledge of PDEs, discretization methods, solution techniques, parallel computers, parallel programming, and the run-time behavior of parallel algorithms to allow them to understand, develop, and implement parallel PDE solvers. Examples throughout the book are intentionally kept simple so that the parallelization strategies are not dominated by technical details.
Author : Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
ISBN 13 : 3642593259
Total Pages : 197 pages
Book Rating : 4.6/5 (425 download)
Download or read book A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations written by Marc Alexander Schweitzer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: the solution or its gradient. These new discretization techniques are promising approaches to overcome the severe problem of mesh-generation. Furthermore, the easy coupling of meshfree discretizations of continuous phenomena to dis crete particle models and the straightforward Lagrangian treatment of PDEs via these techniques make them very interesting from a practical as well as a theoretical point of view. Generally speaking, there are two different types of meshfree approaches; first, the classical particle methods [104, 105, 107, 108] and second, meshfree discretizations based on data fitting techniques [13, 39]. Traditional parti cle methods stem from physics applications like Boltzmann equations [3, 50] and are also of great interest in the mathematical modeling community since many applications nowadays require the use of molecular and atomistic mod els (for instance in semi-conductor design). Note however that these methods are Lagrangian methods; i. e. , they are based On a time-dependent formulation or conservation law and can be applied only within this context. In a particle method we use a discrete set of points to discretize the domain of interest and the solution at a certain time. The PDE is then transformed into equa tions of motion for the discrete particles such that the particles can be moved via these equations. After time discretization of the equations of motion we obtain a certain particle distribution for every time step.
Author : Roy Peredo Pargas
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (258 download)
Download or read book Parallel solution of elliptic partial differential equations written by Roy Peredo Pargas and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James M. Ortega
Publisher : SIAM
ISBN 13 : 0898710553
Total Pages : 99 pages
Book Rating : 4.8/5 (987 download)
Download or read book Solution of Partial Differential Equations on Vector and Parallel Computers written by James M. Ortega and published by SIAM. This book was released on 1985-09-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.
Author : Petter Bjorstad
Publisher : Springer Science & Business Media
ISBN 13 : 146121176X
Total Pages : 309 pages
Book Rating : 4.4/5 (612 download)
Download or read book Parallel Solution of Partial Differential Equations written by Petter Bjorstad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97IMA program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING." I would like to thank Petter Bj0rstad of the Institutt for Informatikk, University of Bergen and Mitchell Luskin of the School of Mathematics, University of Minnesota for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE The numerical solution of partial differential equations has been of major importance to the development of many technologies and has been the target of much of the development of parallel computer hardware and software. Parallel computers offer the promise of greatly increased perfor mance and the routine calculation of previously intractable problems. The papers in this volume were presented at the IMA workshop on the Paral lel Solution of PDE held during June 9-13, 1997. The workshop brought together leading numerical analysts, computer scientists, and engineers to assess the state-of-the-art and to consider future directions.
Author : Charles William Gear
Publisher : SIAM
ISBN 13 : 9780898712162
Total Pages : 296 pages
Book Rating : 4.7/5 (121 download)
Download or read book Selected Papers from the Second Conference on Parallel Processing for Scientific Computing written by Charles William Gear and published by SIAM. This book was released on 1987-01-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Author : K. Gallivan
Publisher : SIAM
ISBN 13 : 0898712602
Total Pages : 204 pages
Book Rating : 4.8/5 (987 download)
Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.
Author : C. Siva Ram Murthy
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.F/5 ( download)
Download or read book New Parallel Algorithms for Direct Solution of Linear Equations written by C. Siva Ram Murthy and published by Wiley-Interscience. This book was released on 2000-10-30 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Rather than parallelizing sequential algorithms, the authors develop new back-substitution free parallel algorithms, using a bidirectional elimination technique for the solution of both dense and sparse linear equations. They provide full coverage of bidirectional parallel algorithms based on Gaussian elimination, LU factorization, Householder reductions and modified Gram-Schmidt orthogonalization, Givens rotations, sparse Cholesky factorization, and sparse factorization, clearly demonstrating how the bidirectional approach allows for improved speedup, numerical stability, and efficient implementation on multiprocessor systems." "Plus, the book offers a useful survey of the vast literature on direct methods, introductory material on solving systems of linear equations, and exercises. It is an invaluable resource for computer scientists, researchers in parallel linear algebra, and anyone with an interest in parallel programming."--BOOK JACKET.
Author : Manfred Ruschitzka
Publisher : North Holland
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)
Download or read book Parallel and Large-scale Computers written by Manfred Ruschitzka and published by North Holland. This book was released on 1983 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theodore E. Ferretta
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.:/5 (39 download)
Download or read book A Parallel Multigrid Method for Solving Elliptic Partial Differential Equations written by Theodore E. Ferretta and published by . This book was released on 1989 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Are Magnus Bruaset
Publisher : Springer Science & Business Media
ISBN 13 : 3540316191
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)
Download or read book Numerical Solution of Partial Differential Equations on Parallel Computers written by Are Magnus Bruaset and published by Springer Science & Business Media. This book was released on 2006-03-05 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.
Author :
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (227 download)
Download or read book Adaptive Methods and Parallel Computation for Partial Differential Equations written by and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider the adaptive solution of two-dimensional vector systems of hyperbolic and elliptic partial differential equations on shared-memory parallel computers. Hyperbolic systems are approximated by an explicit finite volume technique and solved by a recursive local mesh refinement procedure on a tree- structured grid. Local refinement of the time steps and spatial cells of a coarse base mesh is performed in regions where a refinement indicator exceeds a prescribed tolerance. Computational procedures that sequentially traverse the tree while processing solutions on each grid in parallel, that process solutions at the same tree level in parallel, and that dynamically assign processors to nodes of the tree have been developed and applied to an example. Computational results comparing a variety of heuristic processor load balancing techniques and refinement strategies are presented.
Author : Joseph W. Nichols
Publisher :
ISBN 13 :
Total Pages : 87 pages
Book Rating : 4.:/5 (484 download)
Download or read book Parallel Methods for the Computation of Approximate Solutions to Separable Elliptic Partial Differential Equations written by Joseph W. Nichols and published by . This book was released on 2001 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.3/5 (91 download)
Download or read book NBS Special Publication written by and published by . This book was released on 1965 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journal of the Institution of Electronics and Telecommunication Engineers written by and published by . This book was released on 1988 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
