Тип публикации: статья из журнала

Год издания: 2025

Идентификатор DOI: 10.1515/rnam-2025-0004

Аннотация: <jats:title>Abstract</jats:title> <jats:p>The paper demonstrates constructing monotone difference scheme for the two-dimensional (in space) transfer equation in divergent form by the Lagrangian–Eulerian approach. It is based on the use of spatial grids formed by the approximate traces of the characteristics for this operator. The uПоказать полностьюse of such special grids made it possible to circumvent the limitation by S. K. Godunov on the absence of monotone schemes above the first order of convergence. A brief theoretical justification for the second order of convergence and supporting results of the computational experiment are presented.</jats:p>

Журнал: Russian Journal of Numerical Analysis and Mathematical Modelling

Выпуск журнала: Т.40, №1

Номера страниц: 47-59

ISSN журнала: 09276467

Место издания: Москва

Издатель: Walter de Gruyter GmbH &amp; Co. KG

• Shaydurov Vladimir V. (Institute of Computational Modeling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk, Russia)
• Vyatkin Aleksandr V. (Institute of Computational Modeling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk, Russia)
• Cherednichenko Olga M. (Siberian Federal University, Krasnoyarsk, Russia)

• Ядро РИНЦ (eLIBRARY.RU)