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Eurasian Journal of Mathematical and Computer Applications, 2018, Volume 6, Issue 1, Pages 56–64
DOI: https://doi.org/10.32523/2306-6172-2018-6-1-56-64 (Mi ejmca99) 		 
Reconstruction of vertical profiles of heavy water in atmosphere by IR–spectra of the solar light transmission

G. G. Skorik

Institute of Mathematic and Mechanic UB RAS, 16 S.Kovalevskaya Str., Yekaterinburg, 620990 Russia
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DOI: https://doi.org/10.32523/2306-6172-2018-6-1-56-64
Abstract: A problem of retrieval HDO vertical profiles from IR–spectra of solar light transmission through the atmosphere is investigated. This problem is reduced to the nonlinear integral equation of the first kind. To solve this equation, we propose a method based on the use of the Tikhonov regularization and the iterative process of the Newton type. For real spectra numerical experiments were carried out.
Keywords: Inverse problem, Isotopomers of water vapor, Vertical profiles, Thkhonov regularization.
Funding agency Grant number
Ural Branch of the Russian Academy of Sciences 18-1-1-8
Ministry of Science and Higher Education of the Russian Federation 02.A3.21.0006
Russian Foundation for Basic Research 15-01-00629
16-51-50064
The work was supported by the Ural Branch of RAS under project no. 18-1-1-8 and, also, partly supported by the Russian Federation Government Contract no. 02.A3.21.0006 and by the RFBR grants no. 15-01-00629, no. 16-51-50064.
Received: 27.02.2018
Accepted: 02.03.2018
Bibliographic databases:
Document Type: Article
MSC: 45Q05, 65R32
Language: English
Citation: G. G. Skorik, “Reconstruction of vertical profiles of heavy water in atmosphere by IR–spectra of the solar light transmission”, Eurasian Journal of Mathematical and Computer Applications, 6:1 (2018), 56–64
Citation in format AMSBIB
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\by G.~G.~Skorik
\paper Reconstruction of vertical profiles of heavy water in atmosphere by IR–spectra of the solar light transmission
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\vol 6
\issue 1
\pages 56--64
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