Geodesic
On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field
Matematičeskoe modelirovanie, Tome 30 (2018) no. 5, pp. 76-98

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The monotonicity of the CABARET scheme approximating quasi-linear scalar conservation law with a convex flux is analyzed. Monotonicity conditions for this scheme are obtained in the areas where propagation velocity of characteristics has constant sign as well as in the areas of sonic lines, sonic bands and shock waves on which propagation velocity of characteristics of approximated divergent equation changes sign. Test computations are presented that illustrate these properties of the CABARET scheme.
Keywords: CABARET finite difference scheme, scalar conservation law with convex flux, sonic lines, monotonicity. 
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     author = {N. A. Zyuzina and O. A. Kovyrkina and V. V. Ostapenko},
     title = {On the monotonicity of the {CABARET} scheme approximating a scalar conservation law with alternating characteristic field},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {76--98},
     publisher = {mathdoc},
     volume = {30},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_5_a5/}
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N. A. Zyuzina; O. A. Kovyrkina; V. V. Ostapenko. On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field. Matematičeskoe modelirovanie, Tome 30 (2018) no. 5, pp. 76-98. http://geodesic.mathdoc.fr/item/MM_2018_30_5_a5/