New Monte Carlo Algorithms for Estimating Probability Moments of Criticality Parameters for a Scattering Process with Multiplication in Stochastic Media

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New Monte Carlo Algorithms for Estimating Probability Moments of Criticality Parameters for a Scattering Process with Multiplication in Stochastic Media. / Mikhailov, G. A.; Lotova, G. Z.

In: Doklady Mathematics, Vol. 97, No. 1, 01.01.2018, p. 6-10.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{cf21160eb0b345fcbc6c51a283a0808b,

title = "New Monte Carlo Algorithms for Estimating Probability Moments of Criticality Parameters for a Scattering Process with Multiplication in Stochastic Media",

abstract = "By analogy with Kellogg{\textquoteright}s method, a Monte Carlo algorithm well suited for parallelization was constructed for estimating probability moments of the leading eigenvalue of the particle transport equation with multiplication in a random medium. For this purpose, a randomized homogenization method was developed by applying the theory of small perturbations and the diffusion approximation. Test computations were performed for a one-group spherically symmetric model system. They revealed that the results produced by two methods are in satisfactory agreement.",

author = "Mikhailov, {G. A.} and Lotova, {G. Z.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = jan,

day = "1",

doi = "10.1134/S1064562418010039",

language = "English",

volume = "97",

pages = "6--10",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - New Monte Carlo Algorithms for Estimating Probability Moments of Criticality Parameters for a Scattering Process with Multiplication in Stochastic Media

AU - Mikhailov, G. A.

AU - Lotova, G. Z.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - By analogy with Kellogg’s method, a Monte Carlo algorithm well suited for parallelization was constructed for estimating probability moments of the leading eigenvalue of the particle transport equation with multiplication in a random medium. For this purpose, a randomized homogenization method was developed by applying the theory of small perturbations and the diffusion approximation. Test computations were performed for a one-group spherically symmetric model system. They revealed that the results produced by two methods are in satisfactory agreement.

AB - By analogy with Kellogg’s method, a Monte Carlo algorithm well suited for parallelization was constructed for estimating probability moments of the leading eigenvalue of the particle transport equation with multiplication in a random medium. For this purpose, a randomized homogenization method was developed by applying the theory of small perturbations and the diffusion approximation. Test computations were performed for a one-group spherically symmetric model system. They revealed that the results produced by two methods are in satisfactory agreement.

UR - http://www.scopus.com/inward/record.url?scp=85044333128&partnerID=8YFLogxK

U2 - 10.1134/S1064562418010039

DO - 10.1134/S1064562418010039

M3 - Article

AN - SCOPUS:85044333128

VL - 97

SP - 6

EP - 10

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -

ID: 12176442