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Cover image for Parallel numerical algorithms
Title:
Parallel numerical algorithms
Series:
ICASE/LaRC Interdisciplinary series in science and engineering ; 4
Publication Information:
Dordrecht : Kluwer Academic, 1997
ISBN:
9780792342823

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30000003896515 QA76.9.A43 P37 1997 Open Access Book Book
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Summary

Summary

In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.


Table of Contents

Preface: Parallel Numerical Algorithms: An IntroductionD.E. Keyes
Linear Systems
On Parallel Numerical Software LibrariesJ.W. Demmel
Parallel Direct Methods for Sparse Linear EquationsM.T. Heath
Linear System Solvers: Sparse Iterative MethodsH.A. van der Vorst and T.F. Chan
Implicitly Restarted Arnoldi/Lanczos Methods for Large Scale Eigenvalue CalculationsD.C. Sorensen
Preconditioning
Approximate and Incomplete FactorizationsT.F. Chan and H.A. van der Vorst
Parallel Multigrid MethodsJ.E. Jones and S.F. McCormick
Domain Decomposition Methods for Partial Differential EquationsB.F. Smith
Fast Application of Operators
Parallel FFTsR.B. Pelz
Some Empirical Results on Using Multipole-Accelerated Iterative Methods to Solve 3-D Potential Integral EquationsF.T. Korsmeyer, et al.
Multiresolution Representation and Numerical Algorithms: A Brief ReviewA. Harten
Parallel Tools, Environments, And Benchmarking
Graph Partitioning Algorithms with Applications to Scientific ComputingA. Pothen
An Introduction to Performance Debugging for Parallel ComputersW.D. Gropp
NAS Parallel Benchmark ResultsD.H. Bailey
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