Piecewise uniform regularization of two-dimensional ill-posed problems with discontinuous solutions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 12, pp. 1939-1944 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. S. Leonov. Piecewise uniform regularization of two-dimensional ill-posed problems with discontinuous solutions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 12, pp. 1939-1944. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_12_a0/

[1] Leonov A. S., “Funktsii neskolkikh peremennykh s ogranichennoi variatsiei v nekorrektnykh zadachakh”, Zh. vychisl. matem. i matem. fiz., 36:9 (1996), 35–49 | MR | Zbl

[2] Leonov A. S., “O vybore parametra regulyarizatsii dlya nelineinykh nekorrektnykh zadach s priblizhenno zadannym operatorom”, Zh. vychisl. matem. i matem. fiz., 19:6 (1979), 1363–1376 | MR | Zbl

[3] Tikhonov A. N., Leonov A. S., Yagola A. G., Nelineinye nekorrektnye zadachi, Nauka, M., 1995 | MR

[4] Leonov A. S., “Ob ispolzovanii funktsii neskolkikh peremennykh s ogranichennoi variatsiei dlya kusochno-ravnomernoi regulyarizatsii nekorrektnykh zadach”, Dokl. RAN, 351:5 (1996), 592–595 | MR | Zbl

[5] Tikhonov A. N., Vasilev F. P., “Metody resheniya nekorrektnykh ekstremalnykh zadach”, Math. Models and Numer. Methods. Banach Center Publ., 3 (1978), 297–342 | MR | Zbl

[6] Morozov B. A., Metody regulyarizatsii neustoichivykh zadach, Izd-vo Mosk. un-ta, M., 1987 | MR

[7] Tikhonov A. N., Goncharskii A. V., Stepanov V. V., Yagola A. G., Regulyarizuyuschie algoritmy i apriornaya informatsiya, Nauka, M., 1983 | MR

[8] Vogel C., Hanke M., Two-level preconditioned for regularized inverse problems II: Implementation and numerical results, Preprint, 1998 Internet ftp://ftp.math.montana.edu/pub/vogel/postscript/disparity.ps.gz

[9] Vitushkin A. G., O mnogomernykh variatsiyakh, Gostekhizdat, M., 1955