Two variants of Monte Carlo projection method for numerical solution of nonlinear Boltzmann equation

Sergey V. Rogasinsky

doi:10.1515/rnam-2019-0012

Two variants of Monte Carlo projection method for numerical solution of nonlinear Boltzmann equation

Sergey V. Rogasinsky

Кафедра вычислительной математики ММФ

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

Аннотация

The paper is focused on justification of a statistical modelling algorithm for solution of the nonlinear kinetic Boltzmann equation on the base of a projection method. Hermite functions are used as an orthonormal basis. The error of approximation of a function by a partial sum of Hermite functions series is estimated in the L₂ norm. The estimates are compared for two variants of the projection method in the case of solutions to the homogeneous gas relaxation problem with a known solution.

Язык оригинала	английский
Страницы (с-по)	143-150
Число страниц	8
Журнал	Russian Journal of Numerical Analysis and Mathematical Modelling
Том	34
Номер выпуска	3
DOI	https://doi.org/10.1515/rnam-2019-0012
Состояние	Опубликовано - 1 июн 2019

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10.1515/rnam-2019-0012

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Two variants of Monte Carlo projection method for numerical solution of nonlinear Boltzmann equation. / Rogasinsky, Sergey V.

В: Russian Journal of Numerical Analysis and Mathematical Modelling, Том 34, № 3, 01.06.2019, стр. 143-150.

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

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