Standard

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

In: Doklady Mathematics, Vol. 105, No. 1, 02.2022, p. 35-38.

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

Harvard

Mikhailov, GA, Korda, AS & Rogasinsky, SV 2022, 'Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems', Doklady Mathematics, vol. 105, no. 1, pp. 35-38. https://doi.org/10.1134/S1064562422010100

APA

Mikhailov, G. A., Korda, A. S., & Rogasinsky, S. V. (2022). Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems. Doklady Mathematics, 105(1), 35-38. https://doi.org/10.1134/S1064562422010100

Vancouver

Mikhailov GA, Korda AS, Rogasinsky SV. Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems. Doklady Mathematics. 2022 Feb;105(1):35-38. doi: 10.1134/S1064562422010100

Author

Mikhailov, G. A. ; Korda, A. S. ; Rogasinsky, S. V. / Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems. In: Doklady Mathematics. 2022 ; Vol. 105, No. 1. pp. 35-38.

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.

N1 - Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

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