Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 207-215
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R. V. Razumeiko. A bound for the error in the numerical integration of a first order quasilinear equation. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 207-215. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a4/
@article{MZM_1973_13_2_a4,
author = {R. V. Razumeiko},
title = {A~bound for the error in the numerical integration of a first order quasilinear equation},
journal = {Matemati\v{c}eskie zametki},
pages = {207--215},
year = {1973},
volume = {13},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a4/}
}
TY - JOUR
AU - R. V. Razumeiko
TI - A bound for the error in the numerical integration of a first order quasilinear equation
JO - Matematičeskie zametki
PY - 1973
SP - 207
EP - 215
VL - 13
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a4/
LA - ru
ID - MZM_1973_13_2_a4
ER -
%0 Journal Article
%A R. V. Razumeiko
%T A bound for the error in the numerical integration of a first order quasilinear equation
%J Matematičeskie zametki
%D 1973
%P 207-215
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a4/
%G ru
%F MZM_1973_13_2_a4
We obtain a bound for the error in the numerical integration of the quasilinear equation $u_t+(\varphi(u))_x=0$ by a finite difference method in the case when $\varphi''(u)\ge0$