Geodesic
A finite difference method for a viscous one-dimensional conducting compressible gas with a contact discontinuity
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 295-303 
B. R. Rysbaiuly. A finite difference method for a viscous one-dimensional conducting compressible gas with a contact discontinuity. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 295-303. http://geodesic.mathdoc.fr/item/SJVM_2001_4_3_a7/
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     title = {A~finite difference method for a viscous one-dimensional conducting compressible gas with a~contact discontinuity},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, a priori estimates for the solution of one class of the difference scheme for a viscous onedimensional conducting gas with a contact discontinuity are obtained. The stability and convergence of the difference problem are demonstrated by using the a priori estimates obtained. The Newton method for the system of nonlinear equations under study is justified.

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