Application of the A.~N.~Tikhonov regularization to restoring microstructural characteristics of hail clouds
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 73-79
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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.
@article{INTO_2019_165_a6,
author = {L. T. Sozaeva and A. Kh. Kagermazov},
title = {Application of the {A.~N.~Tikhonov} regularization to restoring microstructural characteristics of hail clouds},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {73--79},
publisher = {mathdoc},
volume = {165},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2019_165_a6/}
}
TY - JOUR AU - L. T. Sozaeva AU - A. Kh. Kagermazov TI - Application of the A.~N.~Tikhonov regularization to restoring microstructural characteristics of hail clouds JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2019 SP - 73 EP - 79 VL - 165 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2019_165_a6/ LA - ru ID - INTO_2019_165_a6 ER -
%0 Journal Article %A L. T. Sozaeva %A A. Kh. Kagermazov %T Application of the A.~N.~Tikhonov regularization to restoring microstructural characteristics of hail clouds %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2019 %P 73-79 %V 165 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2019_165_a6/ %G ru %F INTO_2019_165_a6
L. T. Sozaeva; A. Kh. Kagermazov. Application of the A.~N.~Tikhonov regularization to restoring microstructural characteristics of hail clouds. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 73-79. http://geodesic.mathdoc.fr/item/INTO_2019_165_a6/