About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory
I.N. Medvedev1,2
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia
2Novosibirsk State University, Novosibirsk, Russia
Keywords: exponential transformation algorithm, trajectory branching of the Markov chain, majorant cross-section method (Woodcock tracking), gamma-radiation transfer, variance of the weighted estimator, computation costs, stochastic medium
Abstract
The paper presents the algorithm of exponential transformation (biasing) and its randomized modification with branching of a Markov chain trajectory for solving the problems of gamma-ray transport in an inhomogeneous medium. These algorithms were applied to a maximum (majorant) cross-section method or the Woodcock tracking which is extremely efficient for the simulation in an inhomogeneous medium. On an example of gamma-ray transport through a thick water slab containing a random amount of air or Al balls, the numerical study of the above algorithms in comparison with the standard simulation algorithm is performed.
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