Geodesic
Inverse three-dimensional problems of the simultaneous determination of the absorption coefficient and the source function for the transport equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 1, pp. 97-114 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1992_32_1_a7,
     author = {V. I. Gryn' and L. V. Nitishinskaya},
     title = {Inverse three-dimensional problems of the simultaneous determination of the absorption coefficient and the source function for the transport equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {97--114},
     year = {1992},
     volume = {32},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a7/}
}
TY  - JOUR
AU  - V. I. Gryn'
AU  - L. V. Nitishinskaya
TI  - Inverse three-dimensional problems of the simultaneous determination of the absorption coefficient and the source function for the transport equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1992
SP  - 97
EP  - 114
VL  - 32
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a7/
LA  - ru
ID  - ZVMMF_1992_32_1_a7
ER  - 
%0 Journal Article
%A V. I. Gryn'
%A L. V. Nitishinskaya
%T Inverse three-dimensional problems of the simultaneous determination of the absorption coefficient and the source function for the transport equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1992
%P 97-114
%V 32
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a7/
%G ru
%F ZVMMF_1992_32_1_a7
V. I. Gryn'; L. V. Nitishinskaya. Inverse three-dimensional problems of the simultaneous determination of the absorption coefficient and the source function for the transport equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 1, pp. 97-114. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a7/

[1] Preobrazhensky N. G., Velikanova L. G., “Inversion of line intensities emitted by an axially symmetric absorbing plasma”, Spectrochim. Acta B, 43:9 (1988), 1209–1216 | DOI

[2] 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

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

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

[5] Noll G. F., “Odnofotonnaya emissionnaya rekonstruktivnaya vychislitelnaya tomografiya”, Tr. In-ta inzh. po elektrotekhn. i radioelektronike, 71, no. 3, M., 1983, 43–63

[6] Gryn V. I., “P005502. Opredelenie koeffitsienta pogloscheniya po vykhodyaschemu izlucheniyu iz dvizhuschegosya gaza”, Inform. byul. «Algoritmy i programmy», 5(49), VNTITsentr, M., 1982

[7] Gryn V. I., “Obratnye zadachi dlya uravneniya perenosa izlucheniya pri tsilindricheskoi simmetrii”, Dokl. AN SSSR, 284:5 (1985), 1101–1103 | MR

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

[9] Gryn V. I., “Ob obratnykh zadachakh teorii perenosa izlucheniya v dvumernykh geometriyakh”, Zh. vychisl. matem. i matem. fiz., 27:3 (1987), 441–455 | MR

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

[11] Gryn V. I., Pryamye i obratnye zadachi dinamiki izluchayuschego gaza, Dis. ...dokt. fiz.-matem. nauk, VTs AN SSSR, M., 1987

[12] Gryn V. I., “Obratnye trekhmernye zadachi teorii perenosa izlucheniya, blizkie k dvumernym ploskim i k tsilindricheskim”, Zh. vychisl. matem. i matem. fiz., 29:10 (1989), 1480–1491 | MR

[13] Anikonov D. S., “Edinstvennost sovmestnogo opredeleniya dvukh koeffitsientov uravneniya perenosa”, Dokl. AN SSSR, 277:4 (1984), 777–779 | MR | Zbl

[14] Anikonov D. S., “Reshenie zadachi tomografii pri spetsialnom tipe istochnika”, Lineinye i nelineinye zadachi vychisl. tomografii, VTs SO AN SSSR, Novosibirsk, 1985, 3–10 | MR

[15] Anikonov D. S., Irkegulov I. Sh., “Odin sposob nakhozhdeniya integralnykh kharakteristik koeffitsienta oslableniya uravneniya perenosa”, Zh. vychisl. matem. i matem. fiz., 30:8 (1990), 1262–1267 | MR

[16] Dyakin V. V., Rezer B. I., “Approksimatsiya atomnykh volnovykh funktsii i potentsiala funktsiyami gaussovskogo tipa”, Zh. vychisl. matem. i matem. fiz., 24:10 (1984), 1581–1585 | MR

[17] Korn G., Korn T., Spravochnik po matematike, Nauka, M., 1977

[18] Anikonov D. S., “Mnogomernye obratnye zadachi dlya uravneniya perenosa”, Differents. ur-niya, 20:5 (1984), 817–824 | MR | Zbl

[19] Gryn V. I., “Ob opredelenii koeffitsienta pogloscheniya pri sfericheskoi simmetrii”, Zh. vychisl. matem. i matem. fiz., 30:9 (1990), 1341–1356 | MR | Zbl

[20] Birkeland J. W., Oss J. P., “Spatial resolution of the volume emission coefficient in strongly self-absorbing sources of cilindrical symmetry”, Appl. Optics, 7:8 (1968), 1635–1639 | DOI

[21] Gryn V. I., “O nelineinykh integralnykh uravneniyakh Volterra I roda s integriruemoi osobennostyu”, Dokl. AN SSSR, 314:4 (1990), 838–841 | MR | Zbl

[22] Prilepko A. I., Ivankov A. L., Orlovskii D. G., “Obratnye zadachi dlya uravneniya perenosa i sistem uravnenii giperbolicheskogo tipa”, Nekorrektnye zadachi matem. fiz. i analiza, Nauka, SO, Novosibirsk, 1984, 240–241