Geodesic
Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 12, pp. 2028-2042 
D. Yu. Ivanov. Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 12, pp. 2028-2042. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a8/
@article{ZVMMF_1998_38_12_a8,
     author = {D. Yu. Ivanov},
     title = {Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2028--2042},
     year = {1998},
     volume = {38},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a8/}
}
TY  - JOUR
AU  - D. Yu. Ivanov
TI  - Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1998
SP  - 2028
EP  - 2042
VL  - 38
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a8/
LA  - ru
ID  - ZVMMF_1998_38_12_a8
ER  - 
%0 Journal Article
%A D. Yu. Ivanov
%T Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1998
%P 2028-2042
%V 38
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a8/
%G ru
%F ZVMMF_1998_38_12_a8

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

[1] Ivanov D. Yu., Tarasov R. P., “Chislennoe reshenie integralnykh uravnenii s odnoparametricheskoi polugruppoi simmetriei”, Zh. vychisl. matem. i matem. fiz., 36:7 (1996), 54–76 | MR | Zbl

[2] Krein S. G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967

[3] Balakrishnan A., Vvedenie v teoriyu optimizatsii v gilbertovom prostranstve, Mir, M., 1974 | Zbl

[4] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov, Nauka, M., 1966 | Zbl

[5] Danford N., Shvarts Dzh., Lineinye operatory. Obschaya teoriya, Izd-vo inostr. lit., M., 1962

[6] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979

[7] Privalov I. I., Vvedenie v teoriyu funktsii kompleksnogo peremennogo, Gostekhteorizdat, M.-L., 1948

[8] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, Mir, M., 1979

[9] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989

[10] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989

[11] Tarasov R. P., “Vychislenie funktsii v algebre formalnykh polinomov i algoritmy tsifrovoi obrabotki mnogomernykh signalov”, Zh. vychisl. matem. i matem. fiz., 32:10 (1992), 1523–1544 | MR | Zbl

[12] Tarasov R. P., “Chislennoe obraschenie prichinnykh operatorov Vinera–Khopfa i metod tsifrovykh filtrov v obratnykh zadachakh teploprovodnosti”, Zh. vychisl. matem. i matem. fiz., 33:11 (1993), 1603–1625 | MR | Zbl