On the Construction of Combined Finite-Difference Schemes of High Accuracy

O. A. Kovyrkina, V. V. Ostapenko

Результат исследования: Научные публикации в периодических изданияхстатья

7 Цитирования (Scopus)

Аннотация

A method is proposed for constructing combined shock-capturing finite-difference schemes that localize shock fronts with high accuracy and preserve the high order of convergence in all domains where the computed weak solution is smooth. A particular combined scheme is considered in which a nonmonotone compact scheme with a third-order weak approximation is used as a basis one, while the internal scheme is the second-order accurate (for smooth solutions) monotone CABARET. The advantages of the new scheme are demonstrated using test computations.

Язык оригиналаанглийский
Страницы (с-по)77-81
Число страниц5
ЖурналDoklady Mathematics
Том97
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2018

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