Abstract
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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Original Russian Text © O.A. Kovyrkina, V.V. Ostapenko, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 5, pp. 796–815.
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Kovyrkina, O.A., Ostapenko, V.V. Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field. Comput. Math. and Math. Phys. 56, 783–801 (2016). https://doi.org/10.1134/S0965542516050122
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DOI: https://doi.org/10.1134/S0965542516050122