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Matematicheskoe modelirovanie, 2023, Volume 35, Number 6, Pages 96–108
DOI: https://doi.org/10.20948/mm-2023-06-07 (Mi mm4473) 		 
When an implicit scheme is monotonic

V. A. Gordinab

a NRU Higher School of Economics
b Hydrometeorological Center of Russia
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DOI: https://doi.org/10.20948/mm-2023-06-07
Abstract: A criterion is obtained for testing the monotonicity of implicit schemes approximating linear evolution partial differential equations. In some cases, it can also be applied to nonlinear equations. The application of this criterion to the simplest schemes is considered. The criterion can be used in the construction of schemes with improved accuracy and stability properties with the mandatory implementation of the monotonicity property.
Keywords: monotonicity of implicit difference scheme, stability, symbol, residue, compact scheme.
Funding agency Grant number
HSE Academic Fund Programme 20-04-021
Ministry of Science and Higher Education of the Russian Federation АААА-А20-120021490079-3
Received: 14.11.2022
Revised: 14.11.2022
Accepted: 30.01.2023
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 6, Pages 1114–1122
DOI: https://doi.org/10.1134/S207004822306011X
Document Type: Article
Language: Russian
Citation: V. A. Gordin, “When an implicit scheme is monotonic”, Matem. Mod., 35:6 (2023), 96–108; Math. Models Comput. Simul., 15:6 (2023), 1114–1122
Citation in format AMSBIB
\Bibitem{Gor23}
\by V.~A.~Gordin
\paper When an implicit scheme is monotonic
\jour Matem. Mod.
\yr 2023
\vol 35
\issue 6
\pages 96--108
\mathnet{http://mi.mathnet.ru/mm4473}
\crossref{https://doi.org/10.20948/mm-2023-06-07}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 6
\pages 1114--1122
\crossref{https://doi.org/10.1134/S207004822306011X}
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    		Математическое моделирование
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