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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 165, Pages 73–79 (Mi into468)

Application of the A. N. Tikhonov regularization to restoring microstructural characteristics of hail clouds

L. T. Sozaeva, A. Kh. Kagermazov

Mountain Geophysical Institute, Nalchik

Abstract: This paper is devoted to solving the inverse problem of restoring the hydrometeor distribution function from radar measurements. We use the Tikhonov regularization algorithm based on the minimization of the residual functional by the conjugate gradient method.

Keywords: radar reflectivity, hydrometeor distribution function, Fredholm integral equation of the first kind, Tikhonov regularization method, conjugate gradient method.

UDC: 517.958:551.501.8

MSC: 86A22

DOI: 10.36535/0233-6723-2019-165-73-79



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