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PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
Parallelization of Numerical Examination of Nonlinear Systems using Maple
F. Hajdu and Gy. Molnárka
Department of Mechatronics and Machine Design, Széchenyi István University, Győr, Hungary
, "Parallelization of Numerical Examination of Nonlinear Systems using Maple", in , (Editors), "Proceedings of the Fifth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 30, 2017. doi:10.4203/ccp.111.30
Keywords: parallel computing, SIMD, Maple, scientific computing, mathematical modeling, numerical analysis, nonlinear system modeling.
In this work we present possibilities of the parallelization of numerical examination and simulation of nonlinear systems, especially creating phase-plane diagrams in parallel. For construction of such diagrams Maple was used because it provides algorithms for solving differential equations and two models for parallelization. These are the Task programming model and the Grid programming model. The paper describes the development, the test and the comparison of the parallel programs created according to the two parallelization models. Even using a simple desktop with low number of processors a relative good speedup with a good efficiency could be achieved in both cases. It was also examined how the problem size affects the speedup and the efficiency.
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