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.
@article{MZM_1968_4_5_a0,
author = {Yu. I. Shokin and N. N. Yanenko},
title = {The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations},
journal = {Matemati\v{c}eskie zametki},
pages = {493--502},
publisher = {mathdoc},
volume = {4},
number = {5},
year = {1968},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a0/}
}
TY - JOUR AU - Yu. I. Shokin AU - N. N. Yanenko TI - The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations JO - Matematičeskie zametki PY - 1968 SP - 493 EP - 502 VL - 4 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a0/ LA - ru ID - MZM_1968_4_5_a0 ER -
%0 Journal Article %A Yu. I. Shokin %A N. N. Yanenko %T The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations %J Matematičeskie zametki %D 1968 %P 493-502 %V 4 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a0/ %G ru %F MZM_1968_4_5_a0
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/