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 Matem. Mod., 2002, Volume 14, Number 10, Pages 43–58 (Mi mm536)

The self-organization models of various base forming

V. M. Balykab, D. P. Kostomarovab, V. I. Kukulinab, K. A. Shishaevab

a M. V. Lomonosov Moscow State University
b Moscow Aviation Institute

Abstract: A new way in forming a various base, that is used in simulation complex boundary problems is discussed. The optimum structure of the basis functions is chosen on the base of the principles of the self-organization of the complex systems theory, that let us make algorithms in forming basis functions simple enough. The new operations under the statistical samples are introduced. This reduces to an absolutely new algorithms of solving many-dimensional and optimization problems. The practice convergence of the self-organization method is shown in the model test.

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Citation: V. M. Balyk, D. P. Kostomarov, V. I. Kukulin, K. A. Shishaev, “The self-organization models of various base forming”, Matem. Mod., 14:10 (2002), 43–58

Citation in format AMSBIB
\Bibitem{BalKosKuk02} \by V.~M.~Balyk, D.~P.~Kostomarov, V.~I.~Kukulin, K.~A.~Shishaev \paper The self-organization models of various base forming \jour Matem. Mod. \yr 2002 \vol 14 \issue 10 \pages 43--58 \mathnet{http://mi.mathnet.ru/mm536} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1989782} \zmath{https://zbmath.org/?q=an:1091.65506}