Geodesic
On the strong monotonicity of the CABARET scheme
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 447-460

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The strong monotonicity of the CABARET scheme with single flux correction is analyzed as applied to the linear advection equation. It is shown that the scheme is strongly monotone (has the NED property) at Courant numbers $r\in (0,0.5]$, for which it is monotone. Test computations illustrating this property of the CABARET scheme are presented. 
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     author = {V. V. Ostapenko},
     title = {On the strong monotonicity of the {CABARET} scheme},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {447--460},
     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a5/}
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V. V. Ostapenko. On the strong monotonicity of the CABARET scheme. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 447-460. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a5/