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

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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. 
@article{MM_2008_20_2_a8,
     author = {V. G. Grudnitskii},
     title = {Sufficient conditions of stability in calculations of stationary supersonic flows by a marching method and non-stationary viscous flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {93--104},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_2_a8/}
}
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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/