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This article is cited in 19 scientific papers (total in 19 papers)
On monotony of two layer in time cabaret scheme
O. A. Kovyrkinaab, V. V. Ostapenkoab a Lavrentyev Institute of Hydrodynamics SD RAS, Novosibirsk
b Novosibirsk State University
Abstract:
The monotony analysis of two-layer in time cabaret scheme is carried out. It is shown that there is no local unitary correction of flux variables which would provide monotony of this scheme at any monotonous initial data. It is offered a modification of two-layer in time cabaret scheme, connected with double correction of flux variables, which in case of a variable time step guarantees monotony of the scheme at any Currant numbers at which it is stable. The results of the test calculations illustrating advantages of the modified scheme are listed.
Keywords:
two-layer in time cabaret scheme, monotony, correction of flux variables.
Received: 23.01.2012
Citation:
O. A. Kovyrkina, V. V. Ostapenko, “On monotony of two layer in time cabaret scheme”, Matem. Mod., 24:9 (2012), 97–112; Math. Models Comput. Simul., 5:2 (2013), 180–189
Linking options:
https://www.mathnet.ru/eng/mm3313 https://www.mathnet.ru/eng/mm/v24/i9/p97
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