Direct generalized characteristic method for discontinuos solutions calculation of gas dynamics laws of conservation
Matematičeskoe modelirovanie, Tome 16 (2004) no. 1, pp. 90-96

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A new numerical method of construction the nonstationary shock solution is briefly described. The method provides tracking the most essential shocks of the solution and its derivatives in the calculations. A sufficient condition of stability is satisfied automatically in the method,the latter guaranteeing the numerical solution to be monotonous. The results of one-dimensional calculations are presented.
@article{MM_2004_16_1_a6,
     author = {V. G. Grudnitskii},
     title = {Direct generalized characteristic method for discontinuos solutions calculation of gas dynamics laws of conservation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {90--96},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_1_a6/}
}
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V. G. Grudnitskii. Direct generalized characteristic method for discontinuos solutions calculation of gas dynamics laws of conservation. Matematičeskoe modelirovanie, Tome 16 (2004) no. 1, pp. 90-96. http://geodesic.mathdoc.fr/item/MM_2004_16_1_a6/