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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 26–32 (Mi vmp698)  
This article is cited in 3 scientific papers (total in 3 papers)

On an inverse problem of quantitative electron probe microanalysis

D. V. Zotyeva, M. N. Filippovb, A. G. Yagolaa

a Lomonosov Moscow State University, Faculty of Physics
b Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences, Moscow
Full-text PDF (242 kB) Citations (3)
Abstract: A method for the tracer-free experimental determination of the function generating the in-depth characteristic X-ray used for evaluation of component concentrations in electron probe microanalysis is considered. Application of our method brings about to an inverse problem for a Fredholm equation of the first kind. An algorithm for solving this problem is proposed; the algorithm is based on the information given a priori and on physical restrictions imposed on the sought-for function.
Keywords: Fredholm equations of the first kind, electron probe microanalysis, tracer-free method, inverse problems, regularization method.
UDC: 590.6
Language: Russian
Citation: D. V. Zotyev, M. N. Filippov, A. G. Yagola, “On an inverse problem of quantitative electron probe microanalysis”, Num. Meth. Prog., 4:1 (2003), 26–32
Citation in format AMSBIB
\Bibitem{ZotFilYag03}
\by D.~V.~Zotyev, M.~N.~Filippov, A.~G.~Yagola
\paper On an inverse problem of quantitative electron probe microanalysis
\jour Num. Meth. Prog.
\yr 2003
\vol 4
\issue 1
\pages 26--32
\mathnet{http://mi.mathnet.ru/vmp698}
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  • https://www.mathnet.ru/eng/vmp/v4/i1/p26
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Numerical methods and programming
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