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Sbornik: Mathematics, 2015, Volume 206, Issue 1, Pages 120–134
DOI: https://doi.org/10.1070/SM2015v206n01ABEH004449 (Mi sm8277) 		 
This article is cited in 29 scientific papers (total in 29 papers)

An iterative approach to non-overdetermined inverse scattering at fixed energy

R. G. Novikovabc

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
c École Polytechnique, Centre de Mathématiques Appliquées
English version PDF (546 kB) Citations (29) Russian version article
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DOI: https://doi.org/10.1070/SM2015v206n01ABEH004449
Abstract: We present an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy $E$ with incomplete data, where the dimension $d\geqslant 2$. In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for $E\to +\infty$.
Bibliography: 38 titles.
Keywords: inverse scattering problem, non-overdetermined monochromatic data, iterative approximate reconstruction, rapid high energy convergence.
Received: 22.06.2013 and 25.04.2014
Bibliographic databases:
Document Type: Article
UDC: 517.958+530.145.81
MSC: 35P25, 65N21
Language: English
Original paper language: Russian
Citation: R. G. Novikov, “An iterative approach to non-overdetermined inverse scattering at fixed energy”, Sb. Math., 206:1 (2015), 120–134
Citation in format AMSBIB
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\by R.~G.~Novikov
\paper An iterative approach to non-overdetermined inverse scattering at fixed energy
\jour Sb. Math.
\yr 2015
\vol 206
\issue 1
\pages 120--134
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  • https://www.mathnet.ru/eng/sm/v206/i1/p131
    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Russian version PDF:196
    English version PDF:17
    References:66
    First page:19
     
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