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Parallel Numerical Algorithms

  • Book
  • © 1997

Overview

Editors:
  1. David E. Keyes

    1. Old Dominion University, Norfolk, USA
      ICASE, Hampton, USA

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  2. Ahmed Sameh

    1. University of Minnesota, Minneapolis, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. V. Venkatakrishnan

    1. ICASE, Hampton, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: ICASE LaRC Interdisciplinary Series in Science and Engineering (ICAS, volume 4)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Parallel Numerical Algorithms: An Introduction

    1. Parallel Numerical Algorithms: An Introduction

      • David E. Keyes
      Pages 1-15

  3. Linear Systems

    1. On Parallel Numerical Software Libraries

      • James W. Demmel
      Pages 17-54

    2. Parallel Direct Methods for Sparse Linear Systems

      • Michael T. Heath
      Pages 55-90

    3. Linear System Solvers: Sparse Iterative Methods

      • Henk A. Van der Vorst, Tony F. Chan
      Pages 91-118

    4. Implicitly Restarted Arnoldi/Lanczos Methods for Large Scale Eigenvalue Calculations

      • Danny C. Sorensen
      Pages 119-165

  4. Preconditioning

    1. Approximate and Incomplete Factorizations

      • Tony F. Chan, Henk A. Van der Vorst
      Pages 167-202

    2. Parallel Multigrid Methods

      • Jim E. Jones, Stephen F. McCormick
      Pages 203-224

    3. Domain Decomposition Methods for Partial Differential Equations

      • Barry F. Smith
      Pages 225-243

  5. “Fast” Application of Operators

    1. Parallel FFTs

      • Richard B. Pelz
      Pages 245-266

    2. Some Empirical Results on Using Multipole-Accelerated Iterative Methods to Solve 3-D Potential Integral Equations

      • F. T. Korsmeyer, J. Phillips, K. Nabors, J. White
      Pages 267-288

    3. Multiresolution Representation and Numerical Algorithms: A Brief Review

      • Ami Harten
      Pages 289-322

  6. Parallel Tools, Environments, and Benchmarking

    1. Graph Partitioning Algorithms with Applications to Scientific Computing

      • Alex Pothen
      Pages 323-368

    2. An Introduction to Performance Debugging for Parallel Computers

      • William D. Gropp
      Pages 369-382

    3. NAS Parallel Benchmark Results

      • David H. Bailey
      Pages 383-395
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Keywords

About this book

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.

Reviews

` ... a unique collection of well-written survey articles, covering the state-of-the-art in the rapidly evolving field of parallel numerical algorithms. Highly recommended!'
Newsletter on Computational and Applied Mathematics, 13 (1997)

Editors and Affiliations

  • Old Dominion University, Norfolk, USA

    David E. Keyes

  • ICASE, Hampton, USA

    David E. Keyes, V. Venkatakrishnan

  • University of Minnesota, Minneapolis, USA

    Ahmed Sameh

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