  The article is devoted to the practical material on expansions and
mean-square approximations of specific iterated Ito and Stratonovich stochastic
integrals of multiplicities 1 to 6 with respect to components of the
multidimensional Wiener process on the base of the method of generalized
multiple Fourier series. More precisely, we used the multiple Fourier--Legendre
series converging in the sense of norm in the space $L_2([t, T]^k)$
$(k=1,\ldots,6)$ for approximation of iterated Ito and Stratonovich stochastic
integrals. The considered iterated Ito and Stratonovich stochastic integrals
are part of the stochastic Taylor expansions (Taylor-Ito and
Taylor-Stratonovich expansions). Therefore, the results of the article can be
useful for construction of the high-order strong numerical methods for Ito
stochastic differential equations. Expansions of iterated Ito and Stratonovich
stochastic integrals of multiplicities 1 to 6 using Legendre polynomials are
derived. The convergence with probability 1 of the mentioned method of
generalized multiple Fourier series is proved for iterated Ito stochastic
integrals of multiplicities $k$ $(k\in\mathbb{N})$ for the cases of multiple
Fourier-Legendre series and multiple trigonometric Fourier series.
