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Numerical Analysis and Applications

2026 year, number 1

Investigation of efficiency of grid approximation for isotropic random field of the optical density of medium

G.Z. Lotova, G.A. Michailov, S.A. Rozhenko
Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
Keywords: numerical statistical simulation, random media, Voronoi mosaic, grid approximation, particle flow, overexponential asymptotics, error of estimates, computational cost

Abstract

For an isotropic random field a simple computer-efficient grid model is developed which provides sufficiently high accuracy of solutions to stochastic transport problems for small correlation lengths. Results of test estimation of the time asymptotics of mean particle flux in a random multiplying medium are presented.