Geodesic
On sufficient conditions of stability in explicit scheme S.\,K.~Godunov
Matematičeskoe modelirovanie, Tome 17 (2005) no. 12, pp. 119-128

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Sufficient stability conditions for explicit difference schemes approximating in conservative (divergent) way the unsteady conservation laws of gas dynamics were developed by the author earlier. In this paper it is shown that these conditions can be made less strong for divergent schemes using three nodes with respect to every space coordinate. 
@article{MM_2005_17_12_a5,
     author = {V. G. Grudnitskii},
     title = {On sufficient conditions of stability in explicit scheme {S.\,K.~Godunov}},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--128},
     publisher = {mathdoc},
     volume = {17},
     number = {12},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2005_17_12_a5/}
}
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V. G. Grudnitskii. On sufficient conditions of stability in explicit scheme S.\,K.~Godunov. Matematičeskoe modelirovanie, Tome 17 (2005) no. 12, pp. 119-128. http://geodesic.mathdoc.fr/item/MM_2005_17_12_a5/