Geodesic
Implicid numerical method for differential equations
Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 25-32

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Implicit method for differential equations based on using second member of equation derivatives combined with space of discrepancy searching in next integration step is considered. Two examples of solving equations with offered method are presented. Features of method are determined.
Keywords: implicit method, numerical solution of differential equations, gas-dynamics equations. 
A. M. Lipanov; S. A. Karskanov. Implicid numerical method for differential equations. Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 25-32. http://geodesic.mathdoc.fr/item/MM_2013_25_3_a2/
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[1] Lipanov A. M., Kisarov Yu. F., Klyuchnikov I. G., Chislennyi eksperiment v klassicheskoi gidromekhanike turbulentnykh potokov, Izd-vo UrO RAN, Ekaterinburg, 2001, 162 pp.

[2] Kalitkin H. H., Chislennye metody, Nauka, M., 1978, 512 pp. | MR

[3] Lipanov A. M., Teoreticheskaya gidromekhanika nyutonovskikh sred, Nauka, M., 2011, 551 pp.