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
Citer cet article
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/
@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},
year = {1968},
volume = {4},
number = {5},
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
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
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a0/
%G ru
%F MZM_1968_4_5_a0
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.
