ON MONOTONICITY OF A CABARET SCHEME APPROXIMATING A MULTIDIMENSIONAL SCALAR CONSERVATION LAW

ON MONOTONICITY OF A CABARET SCHEME APPROXIMATING A MULTIDIMENSIONAL SCALAR CONSERVATION LAW Full article

Journal

Numerical Analysis and Applications
ISSN: 1995-4239

Output data

Year: 2020, Volume: 13, Number: 4, Pages: 360-367 Pages count : 8 DOI: 10.1134/S1995423920040060

Authors

Ostapenko V.V. ¹ , Protopopova T.V. ¹

Affiliations

1	Lavrent’ev Institute of Hydrodynamics, Siberian Branch,Russian Academy of Sciences, Novosibirsk

Funding (1)

Российский научный фонд

16-11-10033-Продление

The monotonicity of a two-time-level CABARET scheme approximating amultidimensional scalar conservation law is analyzed. A modification ofthis scheme is proposed. This modification retains the monotonicity ofone-dimensional difference solutions to the CABARET scheme in a linearapproximation. As a result, it provides an increased smoothness in thecalculation of multidimensional discontinuous solutions. The results oftest calculations are given. They illustrate the advantages of themodified scheme.

Ostapenko V.V. , Protopopova T.V.
ON MONOTONICITY OF A CABARET SCHEME APPROXIMATING A MULTIDIMENSIONAL SCALAR CONSERVATION LAW
Numerical Analysis and Applications. 2020. V.13. N4. P.360-367. DOI: 10.1134/S1995423920040060 WOS Scopus РИНЦ OpenAlex

Остапенко В.В. , Протопопова Т.В.
О монотонности схемы CABARET, аппроксимирующей многомерный скалярный закон сохранения
Сибирский журнал вычислительной математики. 2020. Т.23. №4. С.431-440. DOI: 10.15372/SJNM20200406 РИНЦ OpenAlex

Web of science:	WOS:000600885900006
Scopus:	2-s2.0-85097927509
Elibrary:	45064456
OpenAlex:	W3117337270

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