About the evaluation of inaccuracy of approximate solution of the inverse problem of solid state physics
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 72-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of determining of the phonon spectrum of the crystal from its thermal capacity was studied. The accuracy evaluation for regularization method of A. N. Tikhonov chosen from the residual principle was obtained.
Keywords: regularization; module of continuity; evaluation of inaccuracy; ill-posed problem.
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V. P. Tanana; A. A. Erygina. About the evaluation of inaccuracy of approximate solution of the inverse problem of solid state physics. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 72-78. http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a9/

[1] Tikhonov A. N., Doklady AN SSSR, 151:3 (1963), 501–504 (in Russ.) | MR | Zbl

[2] Ivanov V. K., Zhurnal vychislitel'noy matematiki i matematicheskoy fiziki, 6:6 (1966), 1089–1094 | MR

[3] Morozov V. A., Zhurnal vychislitel'noy matematiki i matematicheskoy fiziki, 6:1 (1966), 170–175 (in Russ.) | MR

[4] Lifshits I. M., Zhurnal eksperimental'noy i teoreticheskoy fiziki, 26:5 (1954), 551–556 (in Russ.) | Zbl

[5] Vasin V. V., Tanana V. P., Matematicheskie zapiski Ural'skogo universiteta, 6:2 (1968), 27–37 (in Russ.) | MR | Zbl

[6] Tanana V. P., Yaparova N. M., Sib. Zh. Vychisl. Mat., 9:4 (2006), 353–368 (in Russ.) | Zbl

[7] Tanana V. P., Doklady AN SSSR, 220:5 (1975), 1035–1037 (in Russ.) | MR | Zbl

[8] Whittaker E. T., Watson G. H., A Course of Modern Analysis, Cambridge University Press, 1927, 612 pp. | MR