Geodesic
Iterative method for initial-data reconstruction in singularly perturbed evolutionary problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 9, pp. 1078-1086 
V. P. Shutyaev. Iterative method for initial-data reconstruction in singularly perturbed evolutionary problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 9, pp. 1078-1086. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_9_a7/
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[14] Bellman R., Dynamic programming, Princeton Univ. Press, Princeton, New Jersey, 1957 | MR

[15] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., The mathematical theory of optimal processes, Wiley Intersci., New York, 1962 | MR | Zbl

[16] Mapchuk G. I., “O postanovke nekotorykh obratnykh zadach”, Dokl. AN SSSR, 156:3 (1964), 503–506

[17] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1969

[18] Lions J.-L., Controle optimal de systemes gouvernes par des equations aux derivees partielles, Dunod, Paris, 1969 | MR | Zbl

[19] Glowinski R., Numerical methods for nonlinear variational problems, Springer, New York, 1984 | MR | Zbl

[20] Balakrishnan A. V., Introduction to optimization theory in a Hilbert space, Univ. California, Los-Angeles; Springer, Berlin etc., 1971 | MR

[21] Agoshkov V. I., “Razreshimost odnogo klassa zadach nechuvstvitelnogo optimalnogo upravleniya i primenenie metodov vozmuschenii”, Sopryazhennye ur-niya, algoritmy vozmuschenii i optimalnoe upravlenie, IVM RAN, M., 1993, 2–13

[22] Marchuk G. I., Agoshkov V. I., “On solvability and numerical solution of data assimilation problems”, Rus. J. Numer. Analys. and Math. Modelling, 8:1 (1993), 1–16 | DOI | MR | Zbl

[23] Marchuk G. I., Zalesny V. B., “A numerical technique for geophysical data assimilation problem using Pontryagin's principle and splitting-up method”, Rus. J. Numer. Analys. Math. Modelling, 8:4 (1993), 311–326 | DOI | MR | Zbl

[24] Marchuk G. I., Shutyaev V. P., “Iteration methods for solving a data assimilation problem”, Rus. J. Numer. Analys. and Math. Modelling, 9:3 (1994), 265–279 | DOI | MR | Zbl

[25] Shutyaev V. P., “On a class on insensitive control problems”, Control and Cybernetics, 23:1/2 (1994), 257–266 \setcounter{enumi}{13} | MR | Zbl

[26] Bykov A. V., “Kompleks programm dlya realizatsii metodov usvoeniya dannykh izmerenii”, Chisl. metody v zadachakh atmosfery i okhrany okruzhayuschei sredy, VTs SO AN SSSR, Novosibirsk, 1985, 73–77

[27] Marchuk G. I., Lebedev V. I., Chislennye metody v teorii perenosa neitronov, Atomizdat, M., 1981 | MR