Geodesic
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

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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. 
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     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},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a2/}
}
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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/