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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2014 Volume 14, Number 2, Pages 217–230 (Mi dvmg287)

Statistical modeling of the electron transport in visualization problems of inhomogeneous media

A. S. Zhuplevab, I. V. Prokhorovab, I. P. Yarovenkoba

a Far Eastern Federal University, Vladivostok
b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok

Abstract: The work is devoted to the problems of mathematical modeling electron transport in matter. We propose new weighted Monte Carlo method for solving the electron transfer equation. The numerical experiments with application to the problems of electronic single-beam probing inhomogeneous media are carried out. The influence of multiple scattered electrons on the image quality is experimentally studied.

Key words: transfer equation of electrons, scattering cross-section, boundary-value problems, Monte-Carlo methods.

UDC: 517.958

MSC: Primary 45K05; Secondary 65C05

Received: 10.07.2014



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