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Quasi random sequences for calculation multidimensional integrals and parallel algorithms

Abdujabar RasulovUniversity of World Economy and Diplomacy, Mustakillik avenue 54, Tashkent 100077, UzbekistanMatyokub BakoevUniversity of World Economy and Diplomacy, Mustakillik avenue 54, Tashkent 100077, UzbekistanMakhmadrasul RakhmatovUniversity of World Economy and Diplomacy, Mustakillik avenue 54, Tashkent 100077, Uzbekistan
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Аннотация

An efficient algorithm using parallel computation methods for multidimensional definite integrals has been developed. Using a standard random number generator, the Holton, Korobov, and Sobol sequences multidimensional integrals and the cor- responding deviation errors are calculated. The dependence of the efficiency of calculating integrals on the sample size and the number of processors in the parallel algorithm is analysed.

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