@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
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/
[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