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

Authors

DOI:

https://doi.org/10.26089/NumMet.v18r324

Keywords:

equations with random coefficients, intermittency, statistical moment

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).

Author Biographies

D.A. Grachev

E.A. Mikhailov

References

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Published

22-07-2017

How to Cite

Грачев Д.А., Михайлов Е.А. Numerical Modeling of a Two-Point Correlator for the Lagrange Solutions of Some Evolution Equations // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2017. 18. 277-283. doi 10.26089/NumMet.v18r324

Issue

Section

Section 1. Numerical methods and applications

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