Stable gradient design method for inverse problem of gravimetry
Matematičeskoe modelirovanie, Tome 15 (2003) no. 7, pp. 37-45.

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

@article{MM_2003_15_7_a3,
     author = {A. B. Bakushinskii and M. Yu. Kokurin and A. I. Kozlov},
     title = {Stable gradient design method for inverse problem of gravimetry},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {37--45},
     publisher = {mathdoc},
     volume = {15},
     number = {7},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_7_a3/}
}
TY  - JOUR
AU  - A. B. Bakushinskii
AU  - M. Yu. Kokurin
AU  - A. I. Kozlov
TI  - Stable gradient design method for inverse problem of gravimetry
JO  - Matematičeskoe modelirovanie
PY  - 2003
SP  - 37
EP  - 45
VL  - 15
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2003_15_7_a3/
LA  - ru
ID  - MM_2003_15_7_a3
ER  - 
%0 Journal Article
%A A. B. Bakushinskii
%A M. Yu. Kokurin
%A A. I. Kozlov
%T Stable gradient design method for inverse problem of gravimetry
%J Matematičeskoe modelirovanie
%D 2003
%P 37-45
%V 15
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2003_15_7_a3/
%G ru
%F MM_2003_15_7_a3
A. B. Bakushinskii; M. Yu. Kokurin; A. I. Kozlov. Stable gradient design method for inverse problem of gravimetry. Matematičeskoe modelirovanie, Tome 15 (2003) no. 7, pp. 37-45. http://geodesic.mathdoc.fr/item/MM_2003_15_7_a3/

[1] Prilepko A. I., “Izbrannye voprosy v obratnykh zadachakh matematicheskoi fiziki”, Uslovno-korrektnye zadachi matematicheskoi fiziki i analiza, Nauka. Sib. otd-nie, Novosibirsk, 1992, 151–162 | MR

[2] Stepanova I. E., “Ob integralnom uravnenii obratnoi trekhmernoi zadachi potentsiala”, Matem. modelirovanie, 9:4 (1997), 77–84 | MR | Zbl

[3] Ageev A. L., Bolotova T. V., Vasin V. V., “Reshenie obratnoi zadachi gravimetrii o granitsakh razdela trekh sred”, Fizika Zemli, 1998, no. 3, 54–57

[4] Vasin V. V., Prutkin I. L., Timerkhanova L. Yu., “Reshenie nelineinoi zadachi gravimetrii metodami gradientnogo tipa”, Matem. modelirovanie, 11:10 (1999), 86–91

[5] Engl H. W., Hanke M., Neubauer A., Regularization of inverse problems, Kluwer, Dordrecht, 1996 | MR | Zbl

[6] Hettlich F., Rundell W., “Iterative methods for the reconstruction of an inverse potential problem”, Inverse Problems, 1996, no. 12, 251–266 | DOI | MR | Zbl

[7] Lavrentev M. M., Romanov V. G., Shishatskii S. P., Nekorrektnye zadachi matematicheskoi fiziki i analiza, Nauka, M., 1980 | MR

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

[9] Bakushinskii A. B., Kokurin M. Yu., Yusupova N. A., “Ob iterativnykh metodakh gradientnogo tipa dlya resheniya nelineinykh nekorrektnykh uravnenii”, Sib. zhurn. vychisl. matem., 4:4 (2001), 317–329 | MR

[10] Bakushinskii A. B., Kokurin M. Yu., Kozlov A. I., “Ob iterativnykh metodakh gradientnogo tipa dlya resheniya nelineinykh nekorrektnykh operatornykh uravnenii”, Obratnye i nekorrektnye zadachi prikladnoi matematiki, Trudy XII Baikalskoi mezhdunarodnoi konferentsii “Metody optimizatsii i ikh prilozheniya”, 4, ISEM SO RAN, Irkutsk, 2001, 31–35

[11] Bakushinskii A. B., Goncharskii A. V., Iterativnye metody resheniya nekorrektnykh zadach, Nauka, M., 1989 | MR

[12] Bakushinskii A. B., “Iterativnye metody dlya resheniya nelineinykh operatornykh uravnenii bez svoistva regulyarnosti”, Fundamentalnaya i prikladnaya matematika, 3:3 (1997), 685–692 | MR

[13] Kokurin M. Yu., Yusupova N. A., “O nevyrozhdennykh otsenkakh skorosti skhodimosti iteratsionnykh metodov resheniya nekorrektnykh nelineinykh operatornykh uravnenii”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 40:6 (2000), 832–837 | MR | Zbl

[14] Vladimirov B. C., Zharinov V. V., Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000