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 Num. Meth. Prog., 2017, Volume 18, Issue 3, Pages 277–283 (Mi vmp879)

Numerical modeling of a two-point correlator for the Lagrange solutions of some evolution equations

D. A. Grachev, E. A. Mikhaylov

Faculty of Physics, Lomonosov Moscow State University

Abstract: This paper is devoted to the two-point 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 two-point correlator of the solution. It is shown that, as for the one-point moments, the numerical study of the two-point 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.

 Funding Agency Grant Number Russian Foundation for Basic Research 16-32-00056 ìîë_à

Full text: PDF file (309 kB)
UDC: 519.622

Citation: D. A. Grachev, E. A. Mikhaylov, “Numerical modeling of a two-point correlator for the Lagrange solutions of some evolution equations”, Num. Meth. Prog., 18:3 (2017), 277–283

Citation in format AMSBIB
\Bibitem{GraMik17} \by D.~A.~Grachev, E.~A.~Mikhaylov \paper Numerical modeling of a two-point correlator for the Lagrange solutions of some evolution equations \jour Num. Meth. Prog. \yr 2017 \vol 18 \issue 3 \pages 277--283 \mathnet{http://mi.mathnet.ru/vmp879}