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 tПоказать полностьюime 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