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Bondarenko, Anatoly Nicolaevich

Statistics Math-Net.Ru
Total publications: 13
Scientific articles: 13

Number of views:
This page:3483
Abstract pages:3685
Full texts:1575
References:478
Associate professor
Doctor of physico-mathematical sciences (2005)
Speciality: 05.13.18; 05.13.17 (Mathematical modeling, numerical methods, and the program systems; Theoretical foundation for informatics)
Birth date: 13.08.1953
E-mail:
Keywords: inverse problems.
UDC: 517.946, 519.214, 519.245, 519.63
MSC: 60F99, 65Nxx, 65Cxx

Subject:

Inverse problems.

   
Main publications:
  • Anikonov Yu. E., Bondarenko A. N. Obratnaya zadacha dlya uravneniya Vlasova. Dokl. AN SSSR, 1982, t. 256, # 5, s. 1037–1039.
  • Anikonov Yu. E., Bondarenko A. N. Mnogomernye obratnye zadachi dlya kineticheskikh uravnenii. Dokl. AN SSSR, 1982, t. 277, # 5, s. 779–781.
  • Bondarenko A. N. Singulyarnaya struktura fundamentalnogo resheniya uravneniya perenosa i obratnye zadachi teorii perenosa chastits. Dokl. Akad. Nauk SSSR, t. 322, # 2, s. 274–276, 1992.
  • V. S. Antiufeev, A. N. Bondarenko. X-ray tomography in scattering media. SIAM J. Appl. Math. 56, 2 (1996), 573–578.
  • Anatoly Bondarenko. The structure of the fundamental solution of the time-independent transport equation. Journal of Mathematical Analysis and Applications, 221, 1998, p. 430–451.
  • Anatolii N. Bondarenko. Obratnye zadachi dlya uravneniya tipa Lippmana–Shvingera. Sibirskii zhurnal industrialnoi matematiki, t. VI, vyp. 3(15), s. 18–33, 2003.
  • A. N. Bondarenko. Struktura volnovykh frontov v mezoskopicheskoi teorii perenosa izlucheniya. Nauchnyi vestnik NGTU, 2002, # 1(12), s. 29–44, 2002.
  • Anatolii N. Bondarenko. Tekhnika feinmanovskikh diagramm dlya uravneniya Lippmana–Shvingera s singulyarnym potentsialom. Sibirskii zhurnal industrialnoi matematiki, t. VI, vyp. 4(16), s. 3–10, 2003.
  • Bondarenko A. N., Dedok V. A. Spektralnaya khirurgiya kvantovykh grafov. Sibirskii zhurnal industrialnoi matematiki, 2004, t. 20, # 4, s. 16–28.
  • Bondarenko A. N., Katsuk A. V. Adaptivnyi dvukhstupenchatyi metod klassifikatsii izobrazhenii. Iskusstvennyi intellekt, # 4, 2006, s. 676–680.
  • Bondarenko A. N., Katsuk A. V. Metod analiza glavnykh komponent v zadache raspoznavaniya tsvetnykh izobrazhenii. Iskusstvennyi intellekt, # 4, 2007, s. 258–263.

https://www.mathnet.ru/eng/person29148
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:bondarenko.anatoliy-n
https://mathscinet.ams.org/mathscinet/MRAuthorID/212120

Publications in Math-Net.Ru Citations
2022
1. S. A. Fadeev, V. A. Dedok, A. N. Bondarenko, “Polynomial classification algorithm of the Thomson problem solutions”, Sib. Zh. Ind. Mat., 25:2 (2022),  110–126  mathnet
2017
2. A. N. Bondarenko, T. V. Bugueva, D. S. Ivashchenko, “Method of integral transformations in inverse problems of anomalous diffusion”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3,  3–14  mathnet; Russian Math. (Iz. VUZ), 61:3 (2017), 1–11  isi  scopus 5
2016
3. A. N. Bondarenko, T. V. Bugueva, V. A. Dedok, “Inverse problems of anomalous diffusion theory: the artificial neural network approach”, Sib. Zh. Ind. Mat., 19:3 (2016),  3–14  mathnet  mathscinet  elib; J. Appl. Industr. Math., 10:3 (2016), 311–321  scopus 15
2013
4. A. N. Bondarenko, D. S. Ivashchenko, “Application of the finite element method for inverse problems of anomalous diffusion”, Sib. Zh. Ind. Mat., 16:4 (2013),  29–37  mathnet  mathscinet; J. Appl. Industr. Math., 8:1 (2014), 1–8 2
5. A. N. Bondarenko, V. A. Dedok, L. A. Kozinkin, M. P. Tokarev, “Estimation of the efficiency of the method of hierarchical reconstruction for the problem of the reconstruction of discrete scattering centers from projections”, Sib. Zh. Ind. Mat., 16:2 (2013),  62–71  mathnet  mathscinet; J. Appl. Industr. Math., 7:3 (2013), 335–343
2009
6. A. N. Bondarenko, V. A. Dedok, “Quantum Polya theorem”, Sib. Èlektron. Mat. Izv., 6 (2009),  199–210  mathnet  mathscinet 1
2008
7. A. N. Bondarenko, D. S. Ivashchenko, “Numerical methods for solving boundary problems of anomalous diffusion theory”, Sib. Èlektron. Mat. Izv., 5 (2008),  581–594  mathnet  mathscinet 5
2004
8. A. N. Bondarenko, V. A. Dedok, “Spectral surgery of quantum graphs”, Sib. Zh. Ind. Mat., 7:4 (2004),  16–28  mathnet  mathscinet  zmath 2
2003
9. A. N. Bondarenko, “The technique of Feynman diagrams for the Lippman-Schwinger equation with a singular potential”, Sib. Zh. Ind. Mat., 6:4 (2003),  3–10  mathnet  mathscinet  zmath 2
10. A. N. Bondarenko, “Inverse scattering problems for an equation of Lippman–Schwinger type”, Sib. Zh. Ind. Mat., 6:3 (2003),  18–33  mathnet  mathscinet  zmath 2
1992
11. A. N. Bondarenko, “Singular structure of the fundamental solution of the transport equation, and inverse problems in particle scattering theory”, Dokl. Akad. Nauk, 322:2 (1992),  274–276  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1992), 21–22 1
1984
12. Yu. E. Anikonov, A. N. Bondarenko, “Multidimensional inverse problems for kinetic equations”, Dokl. Akad. Nauk SSSR, 277:4 (1984),  779–781  mathnet  mathscinet  zmath
1982
13. Yu. E. Anikonov, A. N. Bondarenko, “The inverse problem for the Vlasov equation”, Dokl. Akad. Nauk SSSR, 265:5 (1982),  1037–1039  mathnet  mathscinet  zmath

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