Ostapenko V.   Зюзина Н.А.   Kovyrkina O.  

On the application of Cabaret scheme for calculating the solutions of hyperbolic equations in the case of alternating characteristic fields

Reporter: Ostapenko V.

We analyze the monotonicity of the CABARET scheme for the hyperbolic differential equation with alternating-sign  characteristic field. At first we obtain the monotonicity conditions of this scheme in the areas where the velocity of propagation characteristics has a constant sign. Also we get the same conditions in the vicinity of the sound lines where the speed of propagation characteristics changes sign. Performed numerical experiments are demonstrate these properties of the CABARET scheme.

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