"Numerical modeling of a twopoint correlator for the Lagrange solutions
of some evolution equations"
Grachev D.A. and Mikhailov E.A. 
This paper is devoted to the twopoint moments of the solutions arising in simple Lagrange models for the induction equations in the case of finite correlation time of a random medium. We consider the question on the connection between the commutative properties of the corresponding algebraic operators and the minimal sample size of independent random realizations necessary in numerical experiments for modeling the twopoint correlator of the solution. It is shown that, as for the onepoint moments, the numerical study of the twopoint correlator in the case of commutating operators (random numbers) requires a much smaller sample size than in the case when they do not commute (random matrices). Keywords: equations with random coefficients, intermittency, statistical moment.

