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Matematicheskoe modelirovanie, 2006, Volume 18, Number 2, Pages 120–128 (Mi mm105)  

This article is cited in 3 scientific papers (total in 3 papers)

The continues analog of the Newton method in theory scattering inverse problem under presence of eigenfunctions and eigenvalues

E. P. Zhidkov, O. V. Kozlova

Peoples Friendship University of Russia
Full-text PDF (328 kB) Citations (3)
References:
Abstract: The problem of restoring a potential in Schrödinger equation through scattering data in considered. The continues analog of theNewton method is studied.
Received: 19.10.2005
Bibliographic databases:
Language: Russian
Citation: E. P. Zhidkov, O. V. Kozlova, “The continues analog of the Newton method in theory scattering inverse problem under presence of eigenfunctions and eigenvalues”, Mat. Model., 18:2 (2006), 120–128
Citation in format AMSBIB
\Bibitem{ZhiKoz06}
\by E.~P.~Zhidkov, O.~V.~Kozlova
\paper The continues analog of the Newton method in theory scattering inverse problem under presence of eigenfunctions and eigenvalues
\jour Mat. Model.
\yr 2006
\vol 18
\issue 2
\pages 120--128
\mathnet{http://mi.mathnet.ru/mm105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2241450}
\zmath{https://zbmath.org/?q=an:1150.34315}
\elib{https://elibrary.ru/item.asp?id=9244001}
Linking options:
  • https://www.mathnet.ru/eng/mm105
  • https://www.mathnet.ru/eng/mm/v18/i2/p120
  • This publication is cited in the following 3 articles:
    1. I. P. Ryazantseva, “Regularized continuous analog of the Newton method for monotone equations in the Hilbert space”, Russian Math. (Iz. VUZ), 60:11 (2016), 45–57  mathnet  crossref  isi
    2. Puzynina T.P., Tkhak V.Ch., “O chislennom reshenii pryamoi i obratnoi zadachi rasseyaniya na sfericheski simmetrichnykh potentsialakh,zavisyaschikh ot parametrov”, Vestnik rossiiskogo universiteta druzhby narodov. seriya: matematika, informatika, fizika, 2012, no. 4, 73–86 On numerical solution of direct and inverse scattering problems for spherically symmetric potentials dependingon parameters  elib
    3. M. Ignatiev, V. Yurko, “Numerical methods for solving inverse Sturm-Liouville problems”, Results Math., 52:1-2 (2008), 63–74  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:753
    Full-text PDF :300
    References:87
    First page:1
     
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