Geodesic
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. 
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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/

[1] O. M. Belotserkovskii, V. G. Grudnitskii, V. N. Rygalin, “Vydelenie razryvov pri raschëte odnomernykh nestatsionarnykh reshenii”, Dok. Akademii nauk, 272:1 (1983), 49–53

[2] O. A. Azarova, V. V. Vlasov, V. G. Grudnitskii, V. N. Rygalin, “Raschëty odnomernykh gazodinamicheskikh techenii s vydeleniem udarnykh voln i kontaktnykh razryvov”, Sb. Algoritmy dlya chislennogo issledovaniya razryvnykh techenii, 1993, 56–80 | MR

[3] O. A. Azarova, V. V. Vlasov, V. G. Grudnitskii, N. A. Popov, V. N. Rygalin, “Raznostnaya skhema na minimalnom shablone i eë primenenie v algoritmakh vydeleniya razryvov”, Sb. Algoritmy dlya chislennogo issledovaniya razryvnykh techenii, 1993, 9–56 | MR

[4] V. G. Grudnitskii, “Obobschënnye kharakteristiki dlya sistem uravnenii Eilera i ikh primenenie k konstruirovaniyu chislennykh skhem”, Matem. Modelirovanie, 4:12 (1992), 45–48

[5] V. G. Grudnitskii, “Obobschënnye kharakteristiki i dostatochnye usloviya ustoichivosti dlya uravnenii Eilera s razryvnymi resheniyami”, Matem. Modelirovanie, 9:12 (1997), 121–125 | MR

[6] V. G. Grudnitskii, “Dostatochnoe uslovie ustoichivosti pri yavnom postroenii razryvnykh reshenii sistemy uravnenii Eilera”, Dok. Akademii nauk, 362:3 (1998), 298–299 | MR

[7] V. G. Grudnitskii, “Dostatochnoe uslovie ustoichivosti mnogomernogo raschëta nestatsionarnykh razryvnykh reshenii uravnenii Eilera”, Matem. Modelirovanie, 12:1 (2000), 65–77 | MR

[8] V. G. Grudnitskii, P. V. Plotnikov, “Obobschënnye kharakteristiki i dostatochnye usloviya ustoichivosti pri postroenii razryvnykh reshenii uravnenii Eilera”, Sb. Novoe v chislennom modelirovanii, 2000, 148–165 | MR

[9] V. G. Grudnitskiy, “Sufficient conditions of stability for discontinues solutions of the Euler equations”, Computational Fluid Dynamics, 10:2 (2001), 334–337