Geodesic
Numerical solution of the inverse problem of reconstructing the source
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 11, pp. 1666-1679 
V. I. Gryn'; L. V. Nitishinskaya. Numerical solution of the inverse problem of reconstructing the source. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 11, pp. 1666-1679. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_11_a8/
@article{ZVMMF_1994_34_11_a8,
     author = {V. I. Gryn' and L. V. Nitishinskaya},
     title = {Numerical solution of the inverse problem of reconstructing the source},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1666--1679},
     year = {1994},
     volume = {34},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_11_a8/}
}
TY  - JOUR
AU  - V. I. Gryn'
AU  - L. V. Nitishinskaya
TI  - Numerical solution of the inverse problem of reconstructing the source
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1994
SP  - 1666
EP  - 1679
VL  - 34
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_11_a8/
LA  - ru
ID  - ZVMMF_1994_34_11_a8
ER  - 
%0 Journal Article
%A V. I. Gryn'
%A L. V. Nitishinskaya
%T Numerical solution of the inverse problem of reconstructing the source
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1994
%P 1666-1679
%V 34
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_11_a8/
%G ru
%F ZVMMF_1994_34_11_a8

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

[1] Bronnikov A. V., Voskoboinikov Yu. E., Preobrazhenskii N. G., Iteratsionnye algoritmy v zadachakh tomografii poluprozrachnykh sred, Preprint No 18-89, In-t teor. i prikl. mekhan. SO AN SSSR, Novosibirsk, 1989, 43 pp. | MR

[2] Natterer F., Matematicheskie aspekty kompyuternoi tomografii, Mir, M., 1990 | MR | Zbl

[3] Natterer F., “Computerized tomography with unknown sources”, SIAM. J. Appl. Math., 43:5 (1983), 1201–1212 | DOI | MR | Zbl

[4] Gryn V. I., “Ob obratnykh diagnosticheskikh zadachakh dinamiki izluchayuschego gaza”, Zh. vychisl. matem. i matem. fiz., 25:10 (1985), 1506–1525 | MR

[5] Gryn V. I., “Chislennoe reshenie obratnoi zadachi teorii perenosa izlucheniya s tsilindricheskoi simmetriei”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1987

[6] Gryn V. I., Zubov V. I., Krivtsov V. M., “Chislennoe reshenie obratnoi zadachi dinamiki izluchayuschego gaza pri osevoi simmetrii”, Zh. vychisl. matem. i matem fiz., 27:7 (1987), 1078–1084 | MR | Zbl

[7] Gryn V. I., “Ob obratnykh zadachakh teorii statsionarnogo perenosa izlucheniya v dvumernoi ploskoi geometrii”, Zh. vychisl. matem. i matem fiz., 32:5 (1992), 758–771 | MR | Zbl

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

[9] Gryn V. I., Nitishinskaya L. V., “Obratnye trekhmernye zadachi sovmestnogo opredeleniya koeffitsienta pogloscheniya i funktsii istochnikov dlya uravneniya perenosa”, Zh. vychisl. matem. i matem fiz., 32:1 (1992), 97–114 | MR

[10] Gryn V. I., “O sovmestnom vosstanovlenii koeffitsienta pogloscheniya i funktsii istochnikov dlya uravneniya statsionarnogo perenosa izlucheniya v $R^3$”, Dokl. AN SSSR, 319:4 (1991), 849–853 | MR

[11] Gryn V. I., “O sovmestnom opredelenii dvukh koeffitsientov trekhmernogo uravneniya statsionarnogo perenosa izlucheniya s izotropnym rasseyaniem”, Zh. vychisl. matem. i matem fiz., 23:1 (1993), 81–100 | MR

[12] Goncharskii A. V., Leonov A. S., Yagola A. G., “Obobschennyi printsip nevyazki”, Zh. vychisl. matem. i matem fiz., 13:2 (1973), 294–302