Geodesic
Sufficient conditions of stability in calculations of stationary supersonic flows by a marching method and non-stationary viscous flows
Matematičeskoe modelirovanie, Tome 20 (2008) no. 2, pp. 93-104 
V. G. Grudnitskii. Sufficient conditions of stability in calculations of stationary supersonic flows by a marching method and non-stationary viscous flows. Matematičeskoe modelirovanie, Tome 20 (2008) no. 2, pp. 93-104. http://geodesic.mathdoc.fr/item/MM_2008_20_2_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper the sufficient conditions of stability and monotony are received for calculations of supersonic stationary flows by a marching method. The sufficient conditions of stability are established also when constructing the explicit numerical schemes for solutions of non-stationary conservation lows with viscosity taken into account. The received conditions continuously transfer from a hyperbolic type of time step restrictions to parabolic ones as the viscosity coefficient increases.

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