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Matematicheskoe modelirovanie, 2018, Volume 30, Number 5, Pages 5–18 (Mi mm3965)  
On strong monotonicity of two-layer in time CABARET scheme

V. V. Ostapenkoab

a Lavrentyev Institute of Hydrodynamics SD RAS
b Novosibirsk State University
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Abstract: The notion of strong monotonicity of the two-layer in time CABARET scheme is introduced. This notion assumes that the difference scheme does not increase the number of generalized local extrema in the difference solution when passing from one time layer to another. It is proposed a special modification of the two-layer in time CABARET scheme possessing the property of a strong monotonicity. Test calculations illustrating this property of the modified CABARET scheme are given.
Keywords: two-layer in time CABARET scheme, strong monotonicity of difference solution, correction of flux variables.
Funding agency Grant number
Russian Science Foundation 16-11-10033
Received: 06.03.2017
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 1, Pages 1–8
DOI: https://doi.org/10.1134/S2070048219010137
Document Type: Article
Language: Russian
Citation: V. V. Ostapenko, “On strong monotonicity of two-layer in time CABARET scheme”, Matem. Mod., 30:5 (2018), 5–18; Math. Models Comput. Simul., 11:1 (2019), 1–8
Citation in format AMSBIB
\Bibitem{Ost18}
\by V.~V.~Ostapenko
\paper On strong monotonicity of two-layer in time CABARET scheme
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 5
\pages 5--18
\mathnet{http://mi.mathnet.ru/mm3965}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 1
\pages 1--8
\crossref{https://doi.org/10.1134/S2070048219010137}
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