@article{ZVMMF_2000_40_4_a3,
author = {A. F. Albu and V. I. Gorbunov and V. I. Zubov},
title = {Optimal control of the process of melting},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {517--531},
year = {2000},
volume = {40},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_4_a3/}
}
TY - JOUR AU - A. F. Albu AU - V. I. Gorbunov AU - V. I. Zubov TI - Optimal control of the process of melting JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2000 SP - 517 EP - 531 VL - 40 IS - 4 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_4_a3/ LA - ru ID - ZVMMF_2000_40_4_a3 ER -
A. F. Albu; V. I. Gorbunov; V. I. Zubov. Optimal control of the process of melting. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 4, pp. 517-531. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_4_a3/
[1] Butkovskii A. G., Metody upravleniya sistemami s raspredelennymi parametrami, Nauka, M., 1975
[2] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR
[3] Egorov A. I., Optimalnoe upravlenie teplovymi i diffuzionnymi protsessami, Nauka, M., 1978 | MR
[4] White R. E., “An enthalpy formulation of the Stephan problem”, SIAM J. Numer. Analys., 19:6 (1982), 1129–1157 | DOI | MR | Zbl
[5] Rose M., “A method for calculating solutions of parabolic equations with a free boundary”, Math. Comput., 14 (1960), 249–256 | DOI | MR | Zbl
[6] White R. E., “A numerical solution of the enthalpy formulation of the Stephan problem”, SIAM J. Numer. Analys., 19:6 (1982), 1158–1172 | DOI | MR | Zbl
[7] Tikhonov A. H., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1977
[8] Darin N. A., Mazhukin V. I., “Matematicheskoe modelirovanie zadachi Stefana na adaptivnoi setke”, Differents. ur-niya, 23:7 (1987), 1154–1160 | MR
[9] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl
[10] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR
[11] Moiseev N. N., Ivanilov Yu. P., Stolyarova E. M., Metody optimizatsii, Nauka, M., 1978
[12] Chernousko F. L., Banichuk N. V., Variatsionnye zadachi mekhaniki i upravleniya, Nauka, M., 1973
[13] Birgin E. G., Evtushenko Y. G., “Automatic differentiation and spectral projected gradient methods for optimal control problems”, Optimizat. Methods and Software, 10 (1998), 125–146 | DOI | MR | Zbl
[14] Aida-Zade K. P., Evtushenko Yu. G., “Bystroe avtomaticheskoe differentsirovanie”, Matem. modelirovanie, 1 (1989), 121–139 | MR | Zbl
[15] Evtushenko Y. G., “Automatic differentiation viewed from optimal control theory”, Automatic Different. Algorithms: Theory, Implementation and Applic., SIAM, Philadelphia, 1991 | MR | Zbl
[16] Albu A. F., “Vychislenie gradienta v zadachakh optimalnogo upravleniya s razryvnoi pravoi chastyu”, Zh. vychisl. matem. i matem. fiz., 35:7 (1995), 1058–1066 | MR | Zbl
[17] Evtushenko Yu. G., Zasukhina E. S., Zubov V. I., “O chislennom podkhode k optimizatsii resheniya zadachi Byurgersa s pomoschyu granichnykh uslovii”, Zh. vychisl. matem. i matem. fiz., 37:12 (1997), 1449–1458 | MR | Zbl
[18] Evtushenko Y. G., “Computation of exact gradients in distributed dinamic systems”, Optimizat. Methods and Software, 9 (1998), 45–75 | DOI | MR | Zbl
[19] Bakhvalov N. S., Chislennye metody, Nauka, M., 1975