Randomized exponential transformation algorithm for solving the stochastic problems of gamma-ray transport theory

DOI10.1515/rnam-2020-0012OpenAlexW3033473963WikidataQ115514277 ScholiaQ115514277MaRDI QIDQ776952

Gennady A. Mikhailov, Ilia N. Medvedev

Publication date: 13 July 2020

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-2020-0012

zbMATH Keywords

Poisson ensemblecomputational costsexponential transformation algorithmgamma-ray transportstochastic medium maximum cross-section methodweight estimator variance

Mathematics Subject Classification ID

Monte Carlo methods (65C05)

Related Items (4)

About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory ⋮ On the efficiency of using correlative randomized algorithms for solving problems of gamma radiation transfer in stochastic medium ⋮ New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium ⋮ New correlative randomized algorithm for estimating the influence of the medium stochasticity on particle transport

Cites Work

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• The maximal section algorithm in the Monte Carlo method
• A kinetic theory for nonanalog Monte Carlo particle transport algorithms: Exponential transform with angular biasing in planar-geometry anisotropically scattering media
• Algorithms for exact and approximate statistical simulation of Poisson ensembles
• Recurrent partial averaging in the theory of weighted Monte Carlo methods
• Optimization of Monte Carlo weighted methods for part of variables
• A Retrospective and Prospective Survey of the Monte Carlo Method
• A New Multistage Procedure for Systematic Variance Reduction in Monte Carlo

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