Excerpt from Hypercube Algorithms and Implementations: February 1986 The hyperbolic equations are the easiest to parallelize, and in fact we have parallelized various hyperbolic solvers by adding as little as one line of code to the corresponding serial code see section below. We have used several parallelization strategies for hyperbolic equations and we compare these from the point of view of computational efficiency. The simplest method is not the most efficient. However it is quite sufficient as computa tion already ...
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Excerpt from Hypercube Algorithms and Implementations: February 1986 The hyperbolic equations are the easiest to parallelize, and in fact we have parallelized various hyperbolic solvers by adding as little as one line of code to the corresponding serial code see section below. We have used several parallelization strategies for hyperbolic equations and we compare these from the point of view of computational efficiency. The simplest method is not the most efficient. However it is quite sufficient as computa tion already substantially dominates communication costs even for this method. From a software point of view we prefer the simpler approach trading a small amount of efficiency for a large decrease in software complex ity. Furthermore we have used the same parallelization strategy, which we call Transpose Splitting Parallelization, for various other applications, includ ing an fft-based fast Poisson solver see sections 8 and 14. The basic observation underlying this approach is that an efficient parallel matrix tran spose can be used to parallelize a numerical algorithm of adi or operator splitting type. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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