Geodesic
Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 796-815

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The monotonicity of the CABARET scheme approximating a hyperbolic differential equation with a sign-changing characteristic field is analyzed. Monotonicity conditions for this scheme are obtained in domains where the characteristics have a sign-definite propagation velocity and near sonic lines, on which the propagation velocity changes its sign. These properties of the CABARET scheme are illustrated by test computations. 
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     title = {Monotonicity of the {CABARET} scheme approximating a hyperbolic equation with a sign-changing characteristic field},
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O. A. Kovyrkina; V. V. Ostapenko. Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 796-815. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a6/