Solution of Partial Differential Equations on Vector and Parallel Computers
Author: James M. Ortega
Publisher: SIAM
Published: 1985-09-01
Total Pages: 99
ISBN-13: 0898710553
DOWNLOAD EBOOKMathematics of Computing -- Parallelism.
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Author: James M. Ortega
Publisher: SIAM
Published: 1985-09-01
Total Pages: 99
ISBN-13: 0898710553
DOWNLOAD EBOOKMathematics of Computing -- Parallelism.
Author: James M. Ortega
Publisher: SIAM
Published: 1985-01-01
Total Pages: 100
ISBN-13: 9781611971774
DOWNLOAD EBOOKThis 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: Jianping Zhu
Publisher: World Scientific
Published: 1994
Total Pages: 284
ISBN-13: 9789810215781
DOWNLOAD EBOOKThis 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: James M. Ortega
Publisher: Springer Science & Business Media
Published: 1988-04-30
Total Pages: 330
ISBN-13: 9780306428623
DOWNLOAD EBOOKAlthough the origins of parallel computing go back to the last century, it was only in the 1970s that parallel and vector computers became available to the scientific community. The first of these machines-the 64 processor llliac IV and the vector computers built by Texas Instruments, Control Data Corporation, and then CRA Y Research Corporation-had a somewhat limited impact. They were few in number and available mostly to workers in a few government laboratories. By now, however, the trickle has become a flood. There are over 200 large-scale vector computers now installed, not only in government laboratories but also in universities and in an increasing diversity of industries. Moreover, the National Science Foundation's Super computing Centers have made large vector computers widely available to the academic community. In addition, smaller, very cost-effective vector computers are being manufactured by a number of companies. Parallelism in computers has also progressed rapidly. The largest super computers now consist of several vector processors working in parallel. Although the number of processors in such machines is still relatively small (up to 8), it is expected that an increasing number of processors will be added in the near future (to a total of 16 or 32). Moreover, there are a myriad of research projects to build machines with hundreds, thousands, or even more processors. Indeed, several companies are now selling parallel machines, some with as many as hundreds, or even tens of thousands, of processors.
Author: Salim Hariri
Publisher: CRC Press
Published: 1993-08-16
Total Pages: 346
ISBN-13: 9780849389863
DOWNLOAD EBOOKThis three-volume work presents a compendium of current and seminal papers on parallel/distributed processing offered at the 22nd International Conference on Parallel Processing, held August 16-20, 1993 in Chicago, Illinois. Topics include processor architectures; mapping algorithms to parallel systems, performance evaluations; fault diagnosis, recovery, and tolerance; cube networks; portable software; synchronization; compilers; hypercube computing; and image processing and graphics. Computer professionals in parallel processing, distributed systems, and software engineering will find this book essential to complete their computer reference library.
Author: Gerard Meurant
Publisher: Elsevier
Published: 1999-06-16
Total Pages: 777
ISBN-13: 0080529518
DOWNLOAD EBOOKThis book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.
Author: D.J Evans
Publisher: CRC Press
Published: 2020-11-25
Total Pages: 312
ISBN-13: 1000156907
DOWNLOAD EBOOKParallel Computing: Methods, Algorithms and Applications presents a collection of original papers presented at the international meeting on parallel processing, methods, algorithms, and applications at Verona, Italy in September 1989.
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Published: 1994
Total Pages: 444
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Published: 1987
Total Pages: 652
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Published: 1987
Total Pages: 588
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