Geodesic
Numerical solution of an inverse kinematic seismic problem with internal sources
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 4, pp. 3-26 
Yu. E. Anikonov; V. V. Bogdanov; E. Yu. Derevtsov; V. L. Miroshnichenko; N. A. Sapozhnikova. Numerical solution of an inverse kinematic seismic problem with internal sources. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 4, pp. 3-26. http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Romanov V. G., Obratnye zadachi matematicheskoi fiziki, Nauka, M., 1984 | MR

[2] Seismicheskaya tomografiya, Mir, M., 1990

[3] Kravtsov Yu. A., Orlov Yu. I., Geometricheskaya optika neodnorodnykh sred, Nauka, M., 1980 | MR

[4] Anikonov Yu. E., Nekotorye metody issledovaniya mnogomernykh obratnykh zadach dlya differentsialnykh uravnenii, Nauka, Novosibirsk, 1978 | MR

[5] Anikonov Yu. E., Pivovarova N. B., Slavina L. B., “Trekhmernoe pole skorostei fokalnoi zony Kamchatki”, Matematicheskie problemy geofiziki, ch. 1, no. 5, izd. VTsSO AN SSSR, Novosibirsk, 1974, 92–117

[6] Anikonov Yu. E., “Ob odnoi zadache opredeleniya rimanovoi metriki”, Dokl. AN SSSR, 204:6 (1972), 1287–1288 | MR | Zbl

[7] Gerver M. L., Markushevich V. M., “Svoistva godografa ot poverkhnostnogo istochnika”, Nekotorye pryamye i obratnye zadachi seismologii, Vychislitelnaya seismologiya, no. 4, Nauka, M., 1968, 15–63

[8] Belinskii P. P., “O nepreryvnosti prostranstvennykh kvazikonformnykh otobrazhenii i teorema Liuvillya”, Dokl. AN SSSR, 147:5 (1962), 1003–1004 | MR | Zbl

[9] Reshetnyak Yu. G., “Ob ustoichivosti v teorii Liuvillya o konformnykh otobrazheniyakh prostranstva”, Dokl. AN SSSR, 152:2 (1963), 286–287 | Zbl

[10] Pogorelov A. V., Vneshnyaya geometriya vypuklykh poverkhnostei, Nauka, M., 1969 | MR

[11] Morozov V. A., “O printsipe nevyazki pri reshenii nesovmestimykh uravnenii metodom regulyarizatsii A. N. Tikhonova”, Zhurn. vychisl. matematiki i mat. fiziki, 13:5 (1973), 1099–1111 | MR | Zbl

[12] Miroshnichenko V. L., “Approksimatsiya funktsii DMM-splainami po dannym v khaoticheski raspolozhennykh tochkakh”, Vsesib. chteniya po matematike i mekhanike. T. 1. Matematika, Tez. dokl., Tomsk, 1997, 211–212

[13] Volkov Yu. S., Miroshnichenko V. L., “Postroenie matematicheskoi modeli universalnoi kharakteristiki radialno-osevoi gidroturbiny”, Sib. zhurn. industr. matematiki, 1:1 (1998), 77–88 | MR | Zbl

[14] Rozhenko A. I., Abstraktnaya teoriya splainov, Izd. tsentr NGU, Novosibirsk, 1999

[15] Hardy R. L., “Theory and applications of the multyquadric-biharmonic method”, Comput. Math. Appl., 19:8–9 (1990), 163–208 | DOI | MR | Zbl

[16] Anikonov Yu. E., Bogdanov V. V., Derevtsov E. Yu., Miroshnichenko V. L., Nekotorye podkhody k resheniyu obratnoi kinematicheskoi zadachi seismiki s vnutrennimi istochnikami, Preprint In-t matematiki im. S. L. Soboleva SO RAN; No 145, Novosibirsk, 2004, 34 pp.