The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations
Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 493-502.

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The concept of the first differential approximation of a difference scheme is introduced and the conditions relating the stability of difference schemes and the correctness of their first differential approximations are established.
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     title = {The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations},
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Yu. I. Shokin; N. N. Yanenko. The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations. Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 493-502. http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a0/