Finite-difference schemes for solving multidimensional hyperbolic equations and their systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 980-987
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A numerical algorithm for integrating second-order multidimensional hyperbolic equations and hyperbolic systems is described. Conditionally and unconditionally stable finite-difference schemes are constructed. The analysis of the schemes is based on the general regularization principle proposed by A. A. Samarskii.
@article{ZVMMF_2007_47_6_a4,
author = {O. P. Komurdzhishvili},
title = {Finite-difference schemes for solving multidimensional hyperbolic equations and their systems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {980--987},
publisher = {mathdoc},
volume = {47},
number = {6},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a4/}
}
TY - JOUR AU - O. P. Komurdzhishvili TI - Finite-difference schemes for solving multidimensional hyperbolic equations and their systems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 980 EP - 987 VL - 47 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a4/ LA - ru ID - ZVMMF_2007_47_6_a4 ER -
%0 Journal Article %A O. P. Komurdzhishvili %T Finite-difference schemes for solving multidimensional hyperbolic equations and their systems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2007 %P 980-987 %V 47 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a4/ %G ru %F ZVMMF_2007_47_6_a4
O. P. Komurdzhishvili. Finite-difference schemes for solving multidimensional hyperbolic equations and their systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 980-987. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a4/