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.

Sobre autores

O. Kovyrkina

Lavrent’ev Institute of Hydrodynamics, Siberian Branch

Autor responsável pela correspondência
Email: olyana@ngs.ru
Rússia, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090

V. Ostapenko

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

Autor responsável pela correspondência
Email: ostapenko_vv@ngs.ru
Rússia, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090; Universitetskii pr. 2, Novosibirsk, 630090

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