2019
Том 71
№ 11

All Issues

On one approach to the discretization of the lavrent’ev method

Pereverzev S. V., Solodkii S. G.

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Abstract

We propose a new scheme of discretization of the Lavrent’ev method for operator equations of the first kind with self-adjoint nonnegative operators of certain “smoothness.” This scheme is more economical in the sense of the amount of used discrete information as compared with traditional approaches.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 2, pp 239-247.

Citation Example: Pereverzev S. V., Solodkii S. G. On one approach to the discretization of the lavrent’ev method // Ukr. Mat. Zh. - 1996. - 48, № 2. - pp. 212-219.

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