Сибирский федеральный университет

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM); Rhodes, GREECE; Rhodes, GREECE

Год издания: 2015

Идентификатор DOI: 10.1063/1.4913096

Ключевые слова: Semi-Lagrangian method, advection equation, integral transformation, local conservation

Аннотация: We consider a semi-Lagrangian algorithm and formulate the basic equality for a local temporal-spatial domain. This equality involves integrals over domains at neighboring temporal levels. To get the numerical scheme, we approximate each component of the equality within second-order accuracy. To compute an integral at the previous time level, we make the change of variables. After that the quadrature formulas are implemented with nodes and weights defined with the help of the Cauchy problem for a system of ordinary differential equations.

Журнал: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)

Выпуск журнала: Vol. 1648

ISSN журнала: 0094243X

Место издания: MELVILLE

Издатель: AMER INST PHYSICS

• Shaydurov Vladimir (Siberian Fed Univ, Krasnoyarsk 660041, Svobodny Prospe, Russia; Inst Computat Modeling SB RAS, Akademgorodok 660036, Russia)
• Vyatkin Alexander (Siberian Fed Univ, Krasnoyarsk 660041, Svobodny Prospe, Russia; Inst Computat Modeling SB RAS, Akademgorodok 660036, Russia)

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