Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 59-66
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E. G. D'yakonov; D. Kaushilaite. A difference-scheme with error $O(\tau^2+|h|^2)$ for a Navier–Stokes system. Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 59-66. http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a7/
@article{MZM_1972_12_1_a7,
author = {E. G. D'yakonov and D. Kaushilaite},
title = {A difference-scheme with error $O(\tau^2+|h|^2)$ for a {Navier{\textendash}Stokes} system},
journal = {Matemati\v{c}eskie zametki},
pages = {59--66},
year = {1972},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a7/}
}
TY - JOUR
AU - E. G. D'yakonov
AU - D. Kaushilaite
TI - A difference-scheme with error $O(\tau^2+|h|^2)$ for a Navier–Stokes system
JO - Matematičeskie zametki
PY - 1972
SP - 59
EP - 66
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a7/
LA - ru
ID - MZM_1972_12_1_a7
ER -
%0 Journal Article
%A E. G. D'yakonov
%A D. Kaushilaite
%T A difference-scheme with error $O(\tau^2+|h|^2)$ for a Navier–Stokes system
%J Matematičeskie zametki
%D 1972
%P 59-66
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a7/
%G ru
%F MZM_1972_12_1_a7
A system of quasilinear equations of parabolic type which approximates a nonstationary Navier–Stokes problem is considered in this article. Triple layered implicit difference schemes with a linear operator on the upper layer are constructed for this system. Rapidly converging iterative methods can be applied to find a solution on the upper layer. It is proved that the proposed scheme has error $O(\tau^2+|h|^2)$.
