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Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method. / Rogazinsky, Sergey V.

In: Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 32, No. 3, 27.06.2017, p. 197-202.

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

Harvard

Rogazinsky, SV 2017, 'Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method', Russian Journal of Numerical Analysis and Mathematical Modelling, vol. 32, no. 3, pp. 197-202. https://doi.org/10.1515/rnam-2017-0017

APA

Rogazinsky, S. V. (2017). Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method. Russian Journal of Numerical Analysis and Mathematical Modelling, 32(3), 197-202. https://doi.org/10.1515/rnam-2017-0017

Vancouver

Rogazinsky SV. Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method. Russian Journal of Numerical Analysis and Mathematical Modelling. 2017 Jun 27;32(3):197-202. doi: 10.1515/rnam-2017-0017

Author

Rogazinsky, Sergey V. / Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method. In: Russian Journal of Numerical Analysis and Mathematical Modelling. 2017 ; Vol. 32, No. 3. pp. 197-202.

BibTeX

@article{f48a684739634c32a89cf058f24a1548,
title = "Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method",
abstract = "A statistical modelling algorithm is constructed for solution of the nonlinear kinetic Boltzmann equation based on the projection method. Hermite polynomials are used as an orthonormalized basis. The algorithm was tested on calculations for the problem of one-dimensional relaxation of gas with a known solution.",
keywords = "direct simulation, Ensemble of interacting particles, estimator over collisions., Markov chain",
author = "Rogazinsky, {Sergey V.}",
year = "2017",
month = jun,
day = "27",
doi = "10.1515/rnam-2017-0017",
language = "English",
volume = "32",
pages = "197--202",
journal = "Russian Journal of Numerical Analysis and Mathematical Modelling",
issn = "0927-6467",
publisher = "Walter de Gruyter GmbH",
number = "3",

}

RIS

TY - JOUR

T1 - Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method

AU - Rogazinsky, Sergey V.

PY - 2017/6/27

Y1 - 2017/6/27

N2 - A statistical modelling algorithm is constructed for solution of the nonlinear kinetic Boltzmann equation based on the projection method. Hermite polynomials are used as an orthonormalized basis. The algorithm was tested on calculations for the problem of one-dimensional relaxation of gas with a known solution.

AB - A statistical modelling algorithm is constructed for solution of the nonlinear kinetic Boltzmann equation based on the projection method. Hermite polynomials are used as an orthonormalized basis. The algorithm was tested on calculations for the problem of one-dimensional relaxation of gas with a known solution.

KW - direct simulation

KW - Ensemble of interacting particles

KW - estimator over collisions.

KW - Markov chain

UR - http://www.scopus.com/inward/record.url?scp=85021374059&partnerID=8YFLogxK

U2 - 10.1515/rnam-2017-0017

DO - 10.1515/rnam-2017-0017

M3 - Article

AN - SCOPUS:85021374059

VL - 32

SP - 197

EP - 202

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 3

ER -

ID: 10182777