Geodesic
On strong monotonicity of two-layer in time CABARET scheme
Matematičeskoe modelirovanie, Tome 30 (2018) no. 5, pp. 5-18

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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
Mots-clés : correction of flux variables. 
@article{MM_2018_30_5_a1,
     author = {V. V. Ostapenko},
     title = {On strong monotonicity of two-layer in time {CABARET} scheme},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {5--18},
     publisher = {mathdoc},
     volume = {30},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_5_a1/}
}
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V. V. Ostapenko. On strong monotonicity of two-layer in time CABARET scheme. Matematičeskoe modelirovanie, Tome 30 (2018) no. 5, pp. 5-18. http://geodesic.mathdoc.fr/item/MM_2018_30_5_a1/