Mathematical verification of the Monte Carlo
maximum cross-section technique

Victor S. Antyufeev

doi:10.1515/mcma-2015-0106

Published by De Gruyter September 22, 2015

Mathematical verification of the Monte Carlo maximum cross-section technique

Victor S. Antyufeev

From the journal Monte Carlo Methods and Applications

https://doi.org/10.1515/mcma-2015-0106

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Abstract

Maximum cross-section technique is used for solving problems of radiation transport by the Monte Carlo method to optimize the particles' free-path length modeling in inhomogeneous media. A probabilistic proof of a variation of this technique is proposed in the article.

Keywords: Free-path length; probability distribution; jump process

MSC: 65C05

Funding source: RFBR

Award Identifier / Grant number: 13-01-00441 a

Received: 2014-12-21

Accepted: 2015-8-19

Published Online: 2015-9-22

Published in Print: 2015-12-1

Mathematical verification of the Monte Carlo maximum cross-section technique

Abstract

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