Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 753-766
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R. V. Razumeiko. An estimate on the error in a numerical integration of a quasilinear equation with a regular degeneracy. Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 753-766. http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a11/
@article{MZM_1975_18_5_a11,
author = {R. V. Razumeiko},
title = {An estimate on the error in a~numerical integration of a~quasilinear equation with a~regular degeneracy},
journal = {Matemati\v{c}eskie zametki},
pages = {753--766},
year = {1975},
volume = {18},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a11/}
}
TY - JOUR
AU - R. V. Razumeiko
TI - An estimate on the error in a numerical integration of a quasilinear equation with a regular degeneracy
JO - Matematičeskie zametki
PY - 1975
SP - 753
EP - 766
VL - 18
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a11/
LA - ru
ID - MZM_1975_18_5_a11
ER -
%0 Journal Article
%A R. V. Razumeiko
%T An estimate on the error in a numerical integration of a quasilinear equation with a regular degeneracy
%J Matematičeskie zametki
%D 1975
%P 753-766
%V 18
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a11/
%G ru
%F MZM_1975_18_5_a11
For the case of a regular degeneracy of the convexity condition an estimate is obtained for the convergence $O(h\ln1/h)$ of a numerical integration of the quasilinear equation $u_t+(\varphi(u))_x=0$.