Estimation of the precision for the Tikhonov regularization method in solving an inverse problem of solid-state physics

V. P. Tanana ; A. A. Erygina

Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 125-136.

Résumé

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.

Détail

Keywords: regularization, continuity modulus, error estimate, ill-posed problem.

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