  The article is devoted to the construction of effective procedures of the
mean-square approximation of iterated Ito stochastic integrals of
multiplicities 1 to 5 from the Taylor-Ito expansion based on multiple
Fourier-Legendre series. The results of the article can be applied to the
implementation of numerical methods with the orders of strong convergence 1.5,
2.0, and 2.5 for Ito stochastic differential equations with multidimensional
non-commutative noise.
