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- W2003236963 abstract "In earlier work, it was established that, for a large class of linear partial differential equations (PDEs), increasing the problem size necessarily increases the amount of data that is needed to approximate the solution of some scalar value in the solution field. In consequence, increasing the problem size of these PDEs increases the execution time, independent of the algorithm, the number of processors, and the interprocessor communication network used to solve the problem. In this paper, the analysis is extended to take into account the effect of the radius of the interprocessor communication network on the growth in the execution time. It is shown that the increasing amount of data also contributes to an increase in the time spent in interprocessor communication in optimal parallel algorithms for the problem. In particular, for any physically-realizable multiprocessor, the time spent on interprocessor communication will be the dominant constraint on the performance of optimal algorithms when the problem and multiprocessor sizes are large." @default.
- W2003236963 created "2016-06-24" @default.
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- W2003236963 date "1992-04-01" @default.
- W2003236963 modified "2023-09-26" @default.
- W2003236963 title "The effect of multiprocessor radius on scaling" @default.
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- W2003236963 doi "https://doi.org/10.1016/0167-8191(92)90133-r" @default.
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