About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory

I. N. Medvedev<sup>ab

a</sup> Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

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.

Key words: 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.

UDC: 519.676

Received: 20.06.2021
Revised: 22.06.2021
Accepted: 14.07.2021

DOI: 10.15372/SJNM20210406

 English version: Numerical Analysis and Applications, 2021, 14:4, 372–378

Bibliographic databases:

• 
•