Covariant transformations of basis differential-difference schemes in a plane
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2033-2041
Voir la notice de l'article provenant de la source Math-Net.Ru
Consistent difference approximations to differential operators in vector and tensor analysis are constructed in curvilinear coordinates in a plane by applying the basis operator method. They are obtained as a transformation of basis approximations in a Cartesian coordinate system. For the continuum mechanics equations in Lagrangian variables, this approach yields theoretically justified differential-difference schemes whose conservation laws correspond to the continuous case.
@article{ZVMMF_2011_51_11_a6,
author = {V. A. Korobitsyn},
title = {Covariant transformations of basis differential-difference schemes in a~plane},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2033--2041},
publisher = {mathdoc},
volume = {51},
number = {11},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a6/}
}
TY - JOUR AU - V. A. Korobitsyn TI - Covariant transformations of basis differential-difference schemes in a plane JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 2033 EP - 2041 VL - 51 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a6/ LA - ru ID - ZVMMF_2011_51_11_a6 ER -
%0 Journal Article %A V. A. Korobitsyn %T Covariant transformations of basis differential-difference schemes in a plane %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 2033-2041 %V 51 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a6/ %G ru %F ZVMMF_2011_51_11_a6
V. A. Korobitsyn. Covariant transformations of basis differential-difference schemes in a plane. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2033-2041. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a6/