Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 798-805
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V. L. Burkovskaya; V. L. Makarov. Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 798-805. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a2/
@article{ZVMMF_1983_23_4_a2,
author = {V. L. Burkovskaya and V. L. Makarov},
title = {Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {798--805},
year = {1983},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a2/}
}
TY - JOUR
AU - V. L. Burkovskaya
AU - V. L. Makarov
TI - Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 798
EP - 805
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a2/
LA - ru
ID - ZVMMF_1983_23_4_a2
ER -
%0 Journal Article
%A V. L. Burkovskaya
%A V. L. Makarov
%T Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 798-805
%V 23
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a2/
%G ru
%F ZVMMF_1983_23_4_a2
The control of elliptic systems with solutions in class $W_2^2$ is considered. By means of the operators of exact difference schemes, schemes are constructed for which rate of convergence estimates of order $O(|h|^2)$ are established. Similar results are obtained for schemes of the method of straight lines, for the control of parabolic systems.
