**7. Conclusion**

In the paper we describe the sufficient conditions of the stable calculations for the multidimensional integrals by the Monte Carlo method. We get the results of numerous numerical computations using the mt19937 pseudorandom number generator. The article results can be also useful in the practical solution of the boundary value problem, for both the elliptic and parabolic equations. The earlier suggested approach to the optimal choice of the density [1, 6] often needs to solve a complicated secondary task. In the paper we suggest the approach to choice of the quasioptimal densities that is of considerable interest in applied problems solution.

*Stability of Algorithms in Statistical Modeling DOI: http://dx.doi.org/10.5772/intechopen.106136*
