Solution of radiative transfer theory problems for `realistic' models of random media using the Monte Carlo method

DOI10.1515/rnam-2016-0013zbMath1339.65005OpenAlexW2504783363MaRDI QIDQ291181

Andrey Yu. Ambos, Gennady A. Mikhailov

Publication date: 7 June 2016

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2016-0013

zbMATH Keywords

random fieldradiative transfereffectively averaged modelmaximal cross-section method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Computational methods for problems pertaining to astronomy and astrophysics (85-08) Radiative transfer in astronomy and astrophysics (85A25) Stochastic integral equations (60H20) Random integral equations (45R05)

Related Items (4)

Numerically statistical simulation of the intensity field of the radiation transmitted through a random medium ⋮ Numerical-statistical investigation of superexponential growth of mean particle flow with multiplication in a homogeneous random medium ⋮ Unnamed Item ⋮ Estimation of the average particle flux in a stochastically homogeneous medium by Monte Carlo method

Cites Work

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• New algorithms of numerical-statistical modelling of radiative transfer through stochastic mediums and radiation models homogenization
• Statistical simulation of an exponentially correlated many-dimensional random field
• Approximate models of stochastic processes and fields
• A Random Set Process in the Plane with a Markovian Property
• Random Subdivisions of Space into Crystals
• Numerical models of mosaic homogeneous isotropic random fields and problems of radiative transfer
• Convergence of distributions of functionals of measurable random fields

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