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

Sergey V. Rogazinsky

doi:10.1515/rnam-2017-0017

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

Sergey V. Rogazinsky

Кафедра вычислительной математики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	197-202
Число страниц	6
Журнал	Russian Journal of Numerical Analysis and Mathematical Modelling
Том	32
Номер выпуска	3
DOI	https://doi.org/10.1515/rnam-2017-0017
Состояние	Опубликовано - 27 июн. 2017

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10.1515/rnam-2017-0017

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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",

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

В: Russian Journal of Numerical Analysis and Mathematical Modelling, Том 32, № 3, 27.06.2017, стр. 197-202.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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KW - Ensemble of interacting particles

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