Abstract:
The inverse problem of reconstructing the vertical profiles of HDO/H22O in the atmosphere by IR-spectra of solar light transmission is investigated. For solving this problem the two-stage method is suggested. On the first stage, we apply the Tikhonov regularization method with a special stabilizer. On the second stage, to approximate a solution of the regularized equation, we use a Fejér process of Newton-type. The convergence theorems are formulated, the Fejér property of iterations is substantiated and the results of numerical experiments for series of measured spectra are presented.
Citation:
G. G. Skorik, V. V. Vasin, “Regularized Newton type method for retrieval of heavy water in atmosphere by IR–spectra of the solar light transmission”, Eurasian Journal of Mathematical and Computer Applications, 7:2 (2019), 79–88
\Bibitem{SkoVas19}
\by G.~G.~Skorik, V.~V.~Vasin
\paper Regularized Newton type method for retrieval of heavy water in atmosphere by IR–spectra of the solar light transmission
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2019
\vol 7
\issue 2
\pages 79--88
\mathnet{http://mi.mathnet.ru/ejmca104}
\crossref{https://doi.org/10.32523/2306-6172-2019-7-2-79-88}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000470767100005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067563374}
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https://www.mathnet.ru/eng/ejmca104
https://www.mathnet.ru/eng/ejmca/v7/i2/p79
This publication is cited in the following 2 articles:
H. K. Al-Mahdawi, A. I. Sidikova, PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science, 2398, PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science, 2022, 060080
A. I. Sidikova, H. K. Al-Mahdawi, PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science, 2398, PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science, 2022, 060050
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