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Author : Kevin Burrage
Publisher :
ISBN 13 : 9781383025286
Total Pages : 0 pages
Book Rating : 4.0/5 (252 download)
Download or read book Parallel and Sequential Methods for Ordinary Differential Equations written by Kevin Burrage and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kevin Burrage
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198534327
Total Pages : 446 pages
Book Rating : 4.5/5 (343 download)
Download or read book Parallel and Sequential Methods for Ordinary Differential Equations written by Kevin Burrage and published by Oxford University Press on Demand. This book was released on 1995 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an up-to-date exposition of the current `state of the art' of numerical methods for solving ordinary differential equations in a parallel computing environment. Although the main focus is on problems of initial value type, consideration will also be given to boundary valueproblems and partial differential equations. Furthermore, because linear algebra is an important component of the solution of differential equations, a complete chapter is devoted to the parallel solution of linear systems of equations. In addition to presenting an overview of parallel computing ingeneral, two chapters are devoted to a summary of existing sequential differential equation methods. The parallel techniques discussed include parallelism across the method, parallelism across the step, parallelism across the system, and dynamic iteration. The book concludes with a chapter on thebehaviour of a parallel code based on waveform relaxation.This comprehensive book is unique in its content and provides a balance between theoretical and practical issues by providing general frameworks in which to study parallel methods.
Author : Siegfried Wagner
Publisher : Springer Science & Business Media
ISBN 13 : 3540691820
Total Pages : 700 pages
Book Rating : 4.5/5 (46 download)
Download or read book High Performance Computing in Science and Engineering, Garching/Munich 2007 written by Siegfried Wagner and published by Springer Science & Business Media. This book was released on 2008-10-22 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the fourth time, the Leibniz Supercomputing Centre (LRZ) and the Com- tence Network for Technical, Scienti c High Performance Computing in Bavaria (KONWIHR) publishes the results from scienti c projects conducted on the c- puter systems HLRB I and II (High Performance Computer in Bavaria). This book reports the research carried out on the HLRB systems within the last three years and compiles the proceedings of the Third Joint HLRB and KONWIHR Result and Reviewing Workshop (3rd and 4th December 2007) in Garching. In 2000, HLRB I was the rst system in Europe that was capable of performing more than one Tera op/s or one billion oating point operations per second. In 2006 it was replaced by HLRB II. After a substantial upgrade it now achieves a peak performance of more than 62 Tera op/s. To install and operate this powerful system, LRZ had to move to its new facilities in Garching. However, the situation regarding the need for more computation cycles has not changed much since 2000. The demand for higher performance is still present, a trend that is likely to continue for the foreseeable future. Other resources like memory and disk space are currently in suf cient abundance on this new system.
Author : Peter Sloot
Publisher : Springer Science & Business Media
ISBN 13 : 9783540644439
Total Pages : 1068 pages
Book Rating : 4.6/5 (444 download)
Download or read book High-Performance Computing and Networking written by Peter Sloot and published by Springer Science & Business Media. This book was released on 1998-04-15 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Author : Hon Wah Tam
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (31 download)
Download or read book Parallel Methods for the Numerical Solution of Ordinary Differential Equations written by Hon Wah Tam and published by . This book was released on 1989 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfredo Bellen
Publisher : Springer
ISBN 13 : 3540481443
Total Pages : 143 pages
Book Rating : 4.5/5 (44 download)
Download or read book Numerical Methods for Ordinary Differential Equations written by Alfredo Bellen and published by Springer. This book was released on 2006-11-14 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in numerical initial value ode methods were the focal topic of the meeting at L'Aquila which explord the connections between the classical background and new research areas such as differental-algebraic equations, delay integral and integro-differential equations, stability properties, continuous extensions (interpolants for Runge-Kutta methods and their applications, effective stepsize control, parallel algorithms for small- and large-scale parallel architectures). The resulting proceedings address many of these topics in both research and survey papers.
Author : Jianping Zhu
Publisher : World Scientific
ISBN 13 : 9789810215781
Total Pages : 284 pages
Book Rating : 4.2/5 (157 download)
Download or read book Solving Partial Differential Equations on Parallel Computers written by Jianping Zhu and published by World Scientific. This book was released on 1994 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book on supercomputer applications written by a researcher who is working on solving scientific and engineering application problems on parallel computers. The book is intended to quickly bring researchers and graduate students working on numerical solutions of partial differential equations with various applications into the area of parallel processing.The book starts from the basic concepts of parallel processing, like speedup, efficiency and different parallel architectures, then introduces the most frequently used algorithms for solving PDEs on parallel computers, with practical examples. Finally, it discusses more advanced topics, including different scalability metrics, parallel time stepping algorithms and new architectures and heterogeneous computing networks which have emerged in the last few years of high performance computing. Hundreds of references are also included in the book to direct interested readers to more detailed and in-depth discussions of specific topics.
Author : Nikos Mastorakis
Publisher : Springer Science & Business Media
ISBN 13 : 0387764836
Total Pages : 443 pages
Book Rating : 4.3/5 (877 download)
Download or read book Advances in Numerical Methods written by Nikos Mastorakis and published by Springer Science & Business Media. This book was released on 2009-07-09 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in Numerical Methods features contributions from distinguished researchers, focused on significant aspects of current numerical methods and computational mathematics. The increasing necessity to present new computational methods that can solve complex scientific and engineering problems requires the preparation of this volume with actual new results and innovative methods that provide numerical solutions in effective computing times. Each chapter will present new and advanced methods and modern variations on known techniques that can solve difficult scientific problems efficiently.
Author : D. Trigiante
Publisher : Nova Publishers
ISBN 13 : 9781560728856
Total Pages : 364 pages
Book Rating : 4.7/5 (288 download)
Download or read book Recent Trends in Numerical Analysis written by D. Trigiante and published by Nova Publishers. This book was released on 2000 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.
Author : J. J. Dongarra
Publisher : SIAM
ISBN 13 : 9780898712629
Total Pages : 486 pages
Book Rating : 4.7/5 (126 download)
Download or read book Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing written by J. J. Dongarra and published by SIAM. This book was released on 1990-01-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Author : Marián Vajtersic
Publisher : Springer Science & Business Media
ISBN 13 : 9401707014
Total Pages : 310 pages
Book Rating : 4.4/5 (17 download)
Download or read book Algorithms for Elliptic Problems written by Marián Vajtersic and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with problems of modern effective algorithms for the numerical solution of the most frequently occurring elliptic partial differential equations. From the point of view of implementation, attention is paid to algorithms for both classical sequential and parallel computer systems. The first two chapters are devoted to fast algorithms for solving the Poisson and biharmonic equation. In the third chapter, parallel algorithms for model parallel computer systems of the SIMD and MIMD types are described. The implementation aspects of parallel algorithms for solving model elliptic boundary value problems are outlined for systems with matrix, pipeline and multiprocessor parallel computer architectures. A modern and popular multigrid computational principle which offers a good opportunity for a parallel realization is described in the next chapter. More parallel variants based in this idea are presented, whereby methods and assignments strategies for hypercube systems are treated in more detail. The last chapter presents VLSI designs for solving special tridiagonal linear systems of equations arising from finite-difference approximations of elliptic problems. For researchers interested in the development and application of fast algorithms for solving elliptic partial differential equations using advanced computer systems.
Author : Thomas Carraro
Publisher : Springer
ISBN 13 : 3319233211
Total Pages : 422 pages
Book Rating : 4.3/5 (192 download)
Download or read book Multiple Shooting and Time Domain Decomposition Methods written by Thomas Carraro and published by Springer. This book was released on 2015-10-26 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoretical analysis of the methods, as well as their algorithmic formulation and guidelines for practical implementation. Selected examples show that the discussed approaches are mandatory for the solution of challenging practical problems. The practicability and efficiency of the presented methods is illustrated by several case studies from fluid dynamics, data compression, image processing and computational biology, giving rise to possible new research topics. This volume, resulting from the workshop Multiple Shooting and Time Domain Decomposition Methods, held in Heidelberg in May 2013, will be of great interest to applied mathematicians, computer scientists and all scientists using mathematical methods.
Author : Theodore Simos
Publisher : CRC Press
ISBN 13 : 042952787X
Total Pages : 1297 pages
Book Rating : 4.4/5 (295 download)
Download or read book Recent Progress in Computational Sciences and Engineering (2 vols) written by Theodore Simos and published by CRC Press. This book was released on 2019-05-07 with total page 1297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together selected contributed papers presented at the International Conference of Computational Methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. The conference aims to bring together computational scientists from several disciplines in order to share methods and ideas. The ICCMSE is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. It would be perhaps more appropriate to define the ICCMSE as a conference on computational science and its applications to science and engineering. Topics of general interest are: Computational Mathematics, Theoretical Physics and Theoretical Chemistry. Computational Engineering and Mechanics, Computational Biology and Medicine, Computational Geosciences and Meteorology, Computational Economics and Finance, Scientific Computation. High Performance Computing, Parallel and Distributed Computing, Visualization, Problem Solving Environments, Numerical Algorithms, Modelling and Simulation of Complex System, Web-based Simulation and Computing, Grid-based Simulation and Computing, Fuzzy Logic, Hybrid Computational Methods, Data Mining, Information Retrieval and Virtual Reality, Reliable Computing, Image Processing, Computational Science and Education etc. More than 800 extended abstracts have been submitted for consideration for presentation in ICCMSE 2005. From these 500 have been selected after international peer review by at least two independent reviewers.
Author : Victor Malyshkin
Publisher : Springer
ISBN 13 : 3642231780
Total Pages : 500 pages
Book Rating : 4.6/5 (422 download)
Download or read book Parallel Computing Technologies written by Victor Malyshkin and published by Springer. This book was released on 2011-09-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 11th International Conference on Parallel Computing Technologies, PaCT 2011, held in Kazan, Russia on September 19-23, 2011. The 44 full papers presented together with 2 invited papers were carefully reviewed and selected from 68 submissions. The papers are organized in topical sections on models and languages, cellular automata, parallel programming tools and support, and applications.
Author : Julien Remi Cortial
Publisher : Stanford University
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.F/5 ( download)
Download or read book Time-parallel Methods for Accelerating the Solution of Structural Dynamics Problems written by Julien Remi Cortial and published by Stanford University. This book was released on 2011 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical approach for solving evolution Partial Differential Equations (PDEs) using a parallel computer consists in first partitioning the spatial domain and assigning each subdomain to a processor to achieve space-parallelism, then advancing the solution sequentially. However, enabling parallelism along the time dimension, despite its intrinsic difficulty, can be of paramount importance to fast computations when space-parallelism is unfeasible, cannot fully exploit a massively parallel machine or when near-real-time prediction is desired. The aforementioned objective can be achieved by applying classical domain decomposition principles to the time axis. The latter is first partitioned into time-slices to be processed independently. Starting with approximate seed information that provides a set of initial conditions, the response is then advanced in parallel in each time-slice using a standard time-stepping integrator. This decomposed solution exhibits discontinuities or jumps at the time-slice boundaries if the initial guess is not accurate. Applying a Newton-like approach to the time-dependent system, a correction function is then computed to improve the accuracy of the seed values and the process is repeated until convergence is reached. Methods based on the above concept have been successfully applied to various problems but none was found to be competitive for even for the simplest of second-order hyperbolic PDEs, a class of equations that covers the field of structural dynamics among others. To overcome this difficulty, a key idea is to improve the sequential propagator used for correcting the seed values, observing that the original evolution problem and the derived corrective one are closely related. The present work first demonstrates how this insight can be brought to fruition in the context of linear oscillators, with numerical examples featuring structural models ranging from academic to more challenging large-scale ones. An extension of this method to nonlinear equations is then developed and its concrete application to geometrically nonlinear transient dynamics is presented. Finally, it is shown how the time-reversibility property that characterizes some of the above problems can be exploited to develop a new framework that provides an increased speed-up factor.
Author : Beniamino Di Martino
Publisher : Springer
ISBN 13 : 3540319433
Total Pages : 550 pages
Book Rating : 4.5/5 (43 download)
Download or read book Recent Advances in Parallel Virtual Machine and Message Passing Interface written by Beniamino Di Martino and published by Springer. This book was released on 2005-10-03 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises 61 selected contributions presented at the 12th European PVM/MPI Users' Group Meeting, which was held in Sorrento, Italy, September 18–21, 2005.
Author : Wolfgang E. Nagel
Publisher : Springer
ISBN 13 : 3540377840
Total Pages : 1221 pages
Book Rating : 4.5/5 (43 download)
Download or read book Euro-Par 2006 Parallel Processing written by Wolfgang E. Nagel and published by Springer. This book was released on 2006-11-24 with total page 1221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Parallel Computing, Euro-Par 2006. The book presents 110 carefully reviewed, revised papers. Topics include support tools and environments; performance prediction and evaluation; scheduling and load balancing; compilers for high performance; parallel and distributed databases, data mining and knowledge discovery; grid and cluster computing: models, middleware and architectures; parallel computer architecure and instruction-level parallelism; distributed systems and algorithms, and more.
