Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 848-859
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V. I. Kopchenov; A. N. Kraiko. A second-order monotone difference scheme for hyperbolic systems with two independent variables. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 848-859. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a7/
@article{ZVMMF_1983_23_4_a7,
author = {V. I. Kopchenov and A. N. Kraiko},
title = {A second-order monotone difference scheme for hyperbolic systems with two independent variables},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {848--859},
year = {1983},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a7/}
}
TY - JOUR
AU - V. I. Kopchenov
AU - A. N. Kraiko
TI - A second-order monotone difference scheme for hyperbolic systems with two independent variables
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 848
EP - 859
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a7/
LA - ru
ID - ZVMMF_1983_23_4_a7
ER -
%0 Journal Article
%A V. I. Kopchenov
%A A. N. Kraiko
%T A second-order monotone difference scheme for hyperbolic systems with two independent variables
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 848-859
%V 23
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a7/
%G ru
%F ZVMMF_1983_23_4_a7
Considering the example of the equations of one-dimensional non-stationary gas dynamics, a modification of Godunov's well-know scheme is proposed for hyperbolic systems with two independent variables; the modification, while preserving the monotonicity, raises to second order the approximation of the differential operator and reduces smearing of contact discontinuities and low-intensity jumps.
