用改进的高斯-牛顿法恢复太阳光通过大气的红外光谱上的co2浓度

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-03-01 DOI:10.32523/2306-6172-2023-11-1-139-146

G. Skorik, V. Vasin

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引用次数: 0

摘要

研究了利用太阳光传输的红外光谱重建大气中CO2垂直剖面的逆问题。为了解决这个问题，我们提出了两阶段方法。在第一阶段，我们使用了改进的Tikhonov方法。在第二阶段，为了近似正则化方程的解，我们应用了修正的高斯-牛顿方法。给出了收敛定理，并给出了一些实测光谱的数值结果。

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RESTORING THE CO2 CONCENTRATION ON IR–SPECTRA OF THE SOLAR LIGHT TRANSMISSION THROUGH THE ATMOSPHERE BY THE MODIFIED GAUSS–NEWTON METHOD

The inverse problem of reconstructing the vertical profiles of CO2 in the atmo- sphere by IR–spectra of the solar light transmission is investigated. To solve this problem, we propose the two-stage method. On the first stage, we use the modified Tikhonov method. On the second stage, to approximate a solution of the regularized equation, we apply the modified Gauss–Newton method. The convergence theorem is formulated and the numerical results for a few of measured spectra are presented.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.