Geodesic
On monotony of two layer in time cabaret scheme
Matematičeskoe modelirovanie, Tome 24 (2012) no. 9, pp. 97-112

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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
Mots-clés : monotony, correction of flux variables. 
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     author = {O. A. Kovyrkina and V. V. Ostapenko},
     title = {On monotony of two layer in time cabaret scheme},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {97--112},
     publisher = {mathdoc},
     volume = {24},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_9_a7/}
}
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O. A. Kovyrkina; V. V. Ostapenko. On monotony of two layer in time cabaret scheme. Matematičeskoe modelirovanie, Tome 24 (2012) no. 9, pp. 97-112. http://geodesic.mathdoc.fr/item/MM_2012_24_9_a7/