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... discrete spectral lines. The SLNE is linear with respect to lines' intensities and nonlinear with respect to the lines' frequencies. The integral approximation algorithm is proposed for the solution of this SLNE. The algorithm combines solution of linear integral equations with solution of a system of linear algebraic equations and avoids nonlinear equations. Numerical examples of the application of the technique, both to synthetic and experimental spectra, demonstrate the efficacy of the proposed approach ...

Sizikov V., Sidorov D. Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography // Applied Numerical Mathematics. Vol.106. 2016. P.69-78. DOI: 10.1016/j.apnum.2016.03.004 http://www.sciencedirect.com/science/article/pii/S0168927416300344 We propose the generalized ...