Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 815-820
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The possibility of constructing new third- and fourth-order accurate differential-difference bicompact schemes is explored. The schemes are constructed for the one-dimensional quasilinear advection equation on a symmetric three-point spatial stencil. It is proved that this family of schemes consists of a single fourth-order accurate bicompact scheme. The result is extended to the case of an asymmetric three-point stencil.
@article{ZVMMF_2014_54_5_a8,
author = {M. D. Bragin and B. V. Rogov},
title = {Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {815--820},
publisher = {mathdoc},
volume = {54},
number = {5},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a8/}
}
TY - JOUR AU - M. D. Bragin AU - B. V. Rogov TI - Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2014 SP - 815 EP - 820 VL - 54 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a8/ LA - ru ID - ZVMMF_2014_54_5_a8 ER -
%0 Journal Article %A M. D. Bragin %A B. V. Rogov %T Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2014 %P 815-820 %V 54 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a8/ %G ru %F ZVMMF_2014_54_5_a8
M. D. Bragin; B. V. Rogov. Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 815-820. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a8/