Artificial intelligence

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Parallel step control on the basis of collocation methods with use of interpolation polynoms of Hermite

Dmitrieva O.1
1 Donetsk National Technical University

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UDC: 004.272.2:519.63
Publication Language: Russian
Stuc. intelekt. 2013; 18(3):488-494

Abstract: Work is devoted to creation of parallel algorithms of integration step variable with the Cauchy problem for systems of the ordinary differential equations. Algorithms are under construction on multistep collocation blocks methods with the senior derivatives that provides vectorization of procedure of obtaining the decision. For alignment of an order of approximation in all settlement points of the block Hermite’s polynomials are used.

Keywords: Cauchy problem, parallel computing, collocation, Hermite’s polynomials

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