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The article is devoted to comparison of the Milstein expansion of iteratedStratonovich stochastic integrals with the method of expansion of iteratedstochastic integrals based on generalized multiple Fourier series. We considersome practical material connected with the expansions of iterated Stratonovichstochastic integrals from the Taylor-Stratonovich expansion based on multipletrigonometric Fourier series. The comparison of effectiveness of theFourier-Legendre series as well as the trigonomertic Fourier series forexpansion of iterated Stratonovich stochastic integrals is considered.

Expansions of Iterated Stratonovich Stochastic Integrals from the  Taylor-Stratonovich Expansion, Based on Multiple Trigonometric Fourier  Series. Comparison With the Milstein Expansion