Geodesic
Numerical solution of the problem of the identification of the right-hand side of a parabolic equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2003), pp. 29-37.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2003_1_a3,
     author = {P. N. Vabishchevich},
     title = {Numerical solution of the problem of the identification of the right-hand side of a parabolic equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {29--37},
     publisher = {mathdoc},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2003_1_a3/}
}
TY  - JOUR
AU  - P. N. Vabishchevich
TI  - Numerical solution of the problem of the identification of the right-hand side of a parabolic equation
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2003
SP  - 29
EP  - 37
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2003_1_a3/
LA  - ru
ID  - IVM_2003_1_a3
ER  - 
%0 Journal Article
%A P. N. Vabishchevich
%T Numerical solution of the problem of the identification of the right-hand side of a parabolic equation
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2003
%P 29-37
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2003_1_a3/
%G ru
%F IVM_2003_1_a3
P. N. Vabishchevich. Numerical solution of the problem of the identification of the right-hand side of a parabolic equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2003), pp. 29-37. http://geodesic.mathdoc.fr/item/IVM_2003_1_a3/

[1] Alifanov O. M., Obratnye zadachi teploobmena, Mashinostroenie, M., 1988

[2] Bek Dzh., Blakuell B., Sent-Kler Ch., Nekorrektnye obratnye zadachi teploprovodnosti, Mir, M., 1989

[3] Samarskii A. A., Vabishchevich P. N., Computational Heat Transfer, Wiley, Chichester, 1995

[4] Denisov A. M., Vvedenie v teoriyu obratnykh zadach, Izd-vo Mosk. un-ta, M., 1994

[5] Prilepko A. I., Orlovsky D. G., Vasin I. A., Methods for solving inverse problems in mathematical physics, Monographs and textbooks in pure and appl. math., 231, Marcel Dekker, 2000 | MR | Zbl

[6] Borukhov V. T., Vabischevich P. N., “Chislennoe reshenie obratnoi zadachi vosstanovleniya istochnika v parabolicheskom uravnenii”, Matem. modelir., 10:11 (1998), 93–100 | MR

[7] Lions Zh.–L., Optimalnoe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Mir, M., 1972, 416 pp. | MR

[8] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1986 | MR | Zbl

[9] Samarskii A. A., Vabischevich P. N., “Raznostnye metody resheniya zadach identifikatsii istochnika dlya parabolicheskikh zadach”, Vestn. Mosk. un-ta. Vychisl. matem. i kibern., 1995, no. 1, 47–56 | MR

[10] Vabishchevich P. N., “Solving problems of continuation of unsteady fields based on local point measurements”, Large-scale sci. comput. of engineering and environmental probl., Vieweg, 1998, 111–117 | MR | Zbl

[11] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981, 400 pp. | MR

[12] Alifanov O. M., Artyukhin E. A., Rumyantsev S. V., Ekstremalnye metody resheniya nekorrektnykh zadach, Nauka, M., 1988 | MR | Zbl

[13] Bakushinskii A. B., Goncharskii A. V., Iterativnye metody resheniya nekorrektnykh zadach, Nauka, M., 1989 | MR

[14] Vainikko G. M., Veretennikov A. Yu., Iteratsionnye protsedury v nekorrektnykh zadachakh, Nauka, M., 1986, 181 pp. | MR

[15] Osipov Yu. S., Vasilev F. P., Potapov M. M., Osnovy metoda dinamicheskoi regulyarizatsii, Izd-vo Mosk. un-ta, M., 1999

[16] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989, 616 pp. | MR