Title: Peculiarities of numerical algorithms parallel implementation for exa-flops multicomputers

Authors: Victor E. Malyshkin

Addresses: Supercomputer Software Department, Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, 6, Pr. Lavrentieva, 630090, Novosibirsk, Russia

Abstract: Peculiarities of numerical algorithms parallel implementation for exa-flops multicomputers were considered and the appropriate examples were given. The problems of such big data processing were analysed and also, a solution was suggested. Problems of parallel implementation of large scale numerical models on a rectangular mesh were demonstrated by the parallelisation of the particle-in-cell method (PIC). For similar problems solution, the fragmentation of big data and computations were suggested. Fragmentation automatically provides different useful properties of a target program including dynamic load balancing on the basis of fragments migration from overloaded into underloaded processor elements of a multicomputer.

Keywords: numerical algorithms; big data processing; parallel programming; large scale numerical models; exa-flops computation; fragmentation; fragmented programs; dynamic load balancing; processes migration; modelling; particle-in-cell; PIC; multicomputers.

DOI: 10.1504/IJBDI.2014.063837

International Journal of Big Data Intelligence, 2014 Vol.1 No.1/2, pp.65 - 73

Available online: 23 Jul 2014 *

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