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Mathematical verification of the Monte Carlo maximum cross-section technique
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Victor S. Antyufeev
Published/Copyright:
September 22, 2015
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.
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
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The parallel replica method for computing equilibrium averages of Markov chains
- Mathematical verification of the Monte Carlo maximum cross-section technique
- Infinite-dimensional Monte-Carlo integration
- Widening and clustering techniques allowing the use of monotone CFTP algorithm
- Constructing positivity preserving numerical schemes for the two-factor CIR model
- Simulation of random variates with the Morgenstern distribution
Articles in the same Issue
- Frontmatter
- The parallel replica method for computing equilibrium averages of Markov chains
- Mathematical verification of the Monte Carlo maximum cross-section technique
- Infinite-dimensional Monte-Carlo integration
- Widening and clustering techniques allowing the use of monotone CFTP algorithm
- Constructing positivity preserving numerical schemes for the two-factor CIR model
- Simulation of random variates with the Morgenstern distribution
