Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field


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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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O. Kovyrkina

Lavrent’ev Institute of Hydrodynamics, Siberian Branch

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Email: olyana@ngs.ru
俄罗斯联邦, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090

V. Ostapenko

Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

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Email: ostapenko_vv@ngs.ru
俄罗斯联邦, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090; Universitetskii pr. 2, Novosibirsk, 630090

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