Numerical Algorithms for Modern Parallel Computer Architectures

✍ Scribed by William Celmaster (auth.), Martin Schultz (eds.)

Publisher: Springer-Verlag New York
Year: 1988
Tongue: English
Leaves: 235
Series: The IMA Volumes in Mathematics and Its Applications 13
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Parallel computers have started to completely revolutionize scientific computation. Articles in this volume represent applied mathematics, computer science, and application aspects of parallel scientific computing. Major advances are discussed dealing with multiprocessor architectures, parallel algorithm development and analysis, parallel systems and programming languages. The optimization of the application of massively parallel architectures to real world problems will provide the impetus for the development of entirely new approaches to these technical situations.

✦ Table of Contents

Front Matter....Pages i-xi
Parallelization of Physical Systems on the BBN Butterfly: Some Examples....Pages 1-9
Solution of Large Scale Engineering Problems Using a Loosely Coupled Array of Processors....Pages 11-27
A Look at the Evolution of Mathematical Software for Dense Matrix Problems over the Past Fifteen Years....Pages 29-36
A Graphical Approach to Load Balancing and Sparse Matrix Vector Multiplication on the Hypercube....Pages 37-61
A Review of Automatic Load Balancing and Decomposition Methods for the Hypercube....Pages 63-76
Adaptive Methods for Hyperbolic Problems on Local Memory Parallel Processors....Pages 77-84
Systolic Algorithms for the Parallel Solution of Dense Symmetric Positive-Definite Toeplitz Systems....Pages 85-108
Ensemble Architectures and their Algorithms: An Overview....Pages 109-144
Problem Decomposition and Communication Tradeoffs in a Shared-Memory Multiprocessor....Pages 145-162
Domain Decomposition Preconditioners for Elliptic Problems in Two and Three Dimensions....Pages 163-171
Methods for Automated Problem Mapping....Pages 173-195
Block Algorithms for Parallel Machines....Pages 197-207
The LCAP System: An Example of a Multicomputer....Pages 209-216
A Block QR Factorization Scheme for Loosely Coupled Systems of Array Processors....Pages 217-232

✦ Subjects

Numerical Analysis

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