Application of the A. N. Tikhonov Regularization to Restoring Microstructural Characteristics of Hail Clouds

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.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 259; no. 3; pp. 334 - 340
Main Authors Sozaeva, L. T., Kagermazov, A. Kh
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2021
Springer
Springer Nature B.V
Subjects
Algorithms
Conjugate gradient method
Distribution functions
Hail
Inverse problems
Mathematics
Mathematics and Statistics
Radar measurement
Radar systems
Rain-making
Regularization
radar reflectivity
hydrometeor distribution function
conjugate gradient method
86A22
Fredholm integral equation of the first kind
Tikhonov regularization method
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05621-x