Geodesic
Estimation of the precision for the Tikhonov regularization method in solving an inverse problem of solid-state physics
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 125-136

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We obtain an accuracy estimate for the Tikhonov regularization method with the regularization parameter chosen by the error principle for solving the problem of finding of the phonon spectrum of a crystal from its heat capacity. A numerical solution of this problem is exposed that reconstructs the “fine structure” of the solution.
Keywords: regularization, continuity modulus, error estimate, ill-posed problem. 
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     author = {V. P. Tanana and A. A. Erygina},
     title = {Estimation of the precision for the {Tikhonov} regularization method in solving an inverse problem of solid-state physics},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {125--136},
     publisher = {mathdoc},
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     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a12/}
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V. P. Tanana; A. A. Erygina. Estimation of the precision for the Tikhonov regularization method in solving an inverse problem of solid-state physics. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 125-136. http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a12/