Geodesic
A version of the completely conservative scheme for the gasdynamic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 259-263 Cet article a éte moissonné depuis la source Math-Net.Ru

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An explicit completely conservative scheme of first-order accuracy, stable when Courant's conditions are satisfied, is presented. The scheme is obtained from the problem of the decay of an arbitrary discontinuity and does not require the introduction of mathematical viscosity for calculating shock waves. The results of a calculation of the problem of a plane shock wave and of the laser compression of a sphere of completely ionized hydrogen are presented. 
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     author = {A. A. Charakhch'yan},
     title = {A~version of the completely conservative scheme for the gasdynamic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {259--263},
     year = {1979},
     volume = {19},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a28/}
}
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A. A. Charakhch'yan. A version of the completely conservative scheme for the gasdynamic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 259-263. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a28/