Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems

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Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems. / Mikhailov, G. A.; Korda, A. S.; Rogasinsky, S. V.

в: Doklady Mathematics, Том 105, № 1, 02.2022, стр. 35-38.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{54fe619d23f6438799ad5c5c6d7c95ea,

title = "Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems",

abstract = "A comparative analysis of various projection Monte Carlo algorithms as applied to estimating the particle flow through a layer of medium with scattering of the Henyey–Greenstein type is carried out. The possibility of minimizing the mean-square error by equalizing the corresponding stochastic and deterministic terms is investigated.",

keywords = "collision estimator, direct simulation, Henyey–Greenstein phase function, Laguerre polynomials, mean-square error, Monte Carlo method, projection estimator",

author = "Mikhailov, {G. A.} and Korda, {A. S.} and Rogasinsky, {S. V.}",

note = "Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = feb,

doi = "10.1134/S1064562422010100",

language = "English",

volume = "105",

pages = "35--38",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems

AU - Mikhailov, G. A.

AU - Korda, A. S.

AU - Rogasinsky, S. V.

PY - 2022/2

Y1 - 2022/2

N2 - A comparative analysis of various projection Monte Carlo algorithms as applied to estimating the particle flow through a layer of medium with scattering of the Henyey–Greenstein type is carried out. The possibility of minimizing the mean-square error by equalizing the corresponding stochastic and deterministic terms is investigated.

AB - A comparative analysis of various projection Monte Carlo algorithms as applied to estimating the particle flow through a layer of medium with scattering of the Henyey–Greenstein type is carried out. The possibility of minimizing the mean-square error by equalizing the corresponding stochastic and deterministic terms is investigated.

KW - collision estimator

KW - direct simulation

KW - Henyey–Greenstein phase function

KW - Laguerre polynomials

KW - mean-square error

KW - Monte Carlo method

KW - projection estimator

UR - http://www.scopus.com/inward/record.url?scp=85132648562&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/231de585-920a-325a-a4ba-4d32da6275af/

U2 - 10.1134/S1064562422010100

DO - 10.1134/S1064562422010100

M3 - Article

AN - SCOPUS:85132648562

VL - 105

SP - 35

EP - 38

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -

ID: 36495508