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Shilkov, Aleksandr Viktorovich
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 31
Presentations: 1

Number of views:
This page:518
Abstract pages:9292
Full texts:3858
References:769
Candidate of physico-mathematical sciences (1985)
Speciality: 01.02.05 (Mechanics of fluids, gases and plasmas)
E-mail:

https://www.mathnet.ru/eng/person33127
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/217323
https://elibrary.ru/author_items.asp?authorid=7678

Publications in Math-Net.Ru Citations
2021
1. A. V. Shilkov, N. A. Sivakov, “Simulation of radiative heat transfer in supersonic plasma flows taking into account the doppler shift of lines”, Matem. Mod., 33:4 (2021),  95–115  mathnet; Math. Models Comput. Simul., 13:6 (2021), 1064–1076
2020
2. A. V. Shilkov, “Application of model equations to iterative calculation of the neutron and photon distributions in matter”, Keldysh Institute preprints, 2020, 129, 36 pp.  mathnet
3. A. V. Shilkov, “Lebesgue moment method for solving the neutron transport equation”, Matem. Mod., 32:5 (2020),  59–94  mathnet; Math. Models Comput. Simul., 13:1 (2021), 37–59 3
4. A. V. Shilkov, “Tensor expansions of the angular particle distribution”, Matem. Mod., 32:3 (2020),  61–80  mathnet; Math. Models Comput. Simul., 12:6 (2020), 883–896 1
2019
5. A. V. Shilkov, “Averaging of the neutron transport equation over energy by the Lebesgue moment method”, Keldysh Institute preprints, 2019, 134, 43 pp.  mathnet
6. A. V. Shilkov, “On the solution of second-order linear elliptic equations”, Matem. Mod., 31:6 (2019),  55–81  mathnet  elib; Math. Models Comput. Simul., 12:4 (2020), 597–612 1
2018
7. A. V. Shilkov, “Acceleration of iterations when solving the particle transport equation by extrapolating the source by iteration index”, Keldysh Institute preprints, 2018, 251, 27 pp.  mathnet  elib
8. A. V. Shilkov, N. A. Sivakov, “Simulation of radiative heat transfer in moving plasmas, taking into account the Doppler shift of lines”, Keldysh Institute preprints, 2018, 250, 30 pp.  mathnet  elib
9. A. V. Shilkov, “Decomposition of the scattering operator of the particle transport equation in a series of spherical tensors”, Keldysh Institute preprints, 2018, 249, 28 pp.  mathnet  elib 3
2017
10. E. N. Aristova, G. O. Astafurov, A. V. Shilkov, “Calculation of radiation in shockwave layer of a space vehicle taking into account details of photon spectrum”, Computer Research and Modeling, 9:4 (2017),  579–594  mathnet 1
11. A. V. Shilkov, “On the solution of elliptic equations by the ray variable method”, Keldysh Institute preprints, 2017, 119, 36 pp.  mathnet 1
12. E. N. Aristova, M. N. Gertsev, A. V. Shilkov, “Lebesgue averaging method in serial computations of atmospheric radiation”, Zh. Vychisl. Mat. Mat. Fiz., 57:6 (2017),  1033–1047  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:6 (2017), 1022–1035  isi  scopus 16
2016
13. M. N. Gertsev, A. V. Shilkov, E. N. Aristova, “Heat radiation transfer in the Earth atmosphere”, Keldysh Institute preprints, 2016, 042, 28 pp.  mathnet
14. A. V. Shilkov, “Spectral momentum method in collisional-radiative modeling of plasmas”, Keldysh Institute preprints, 2016, 036, 48 pp.  mathnet 1
15. M. N. Gertsev, A. V. Shilkov, “The preparation of optical constants for line-by-line and Lebesgue calculations of atmospheric radiation transport”, Keldysh Institute preprints, 2016, 031, 24 pp.  mathnet 1
16. A. V. Shilkov, “The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems”, Matem. Mod., 28:11 (2016),  33–54  mathnet  elib; Math. Models Comput. Simul., 9:3 (2017), 263–280  scopus 4
2015
17. A. V. Shilkov, “The equations for the spectral moments of the distribution function of photons”, Keldysh Institute preprints, 2015, 077, 36 pp.  mathnet 2
18. A. V. Shilkov, M. N. Gerthev, “The Lebesgue’s averaging method veryfication”, Matem. Mod., 27:8 (2015),  13–31  mathnet  mathscinet  elib; Math. Models Comput. Simul., 8:2 (2016), 93–107  scopus 22
19. A. V. Shilkov, “Even- and odd-parity kinetic equations of particle transport. 3: Finite analytic scheme on tetrahedra”, Matem. Mod., 27:2 (2015),  34–62  mathnet  elib; Math. Models Comput. Simul., 7:5 (2015), 409–429  scopus 3
2014
20. A. V. Shilkov, “Even-odd parity transport equations. 2: The exact characteristic scheme for one-dimensional problems”, Matem. Mod., 26:7 (2014),  33–53  mathnet; Math. Models Comput. Simul., 7:1 (2015), 36–50  scopus 8
21. A. V. Shilkov, “Even–odd parity transport equations. 1: Algebraic and centered forms of the scattering source”, Matem. Mod., 26:3 (2014),  75–96  mathnet  elib; Math. Models Comput. Simul., 6:5 (2014), 465–479  scopus 4
2012
22. A. V. Shilkov, M. N. Gerthev, E. N. Aristova, S. V. Shilkova, “Benchmark "line-by-line" calculations of atmospheric radiation”, Computer Research and Modeling, 4:3 (2012),  553–562  mathnet 3
23. A. V. Shilkov, “The Plank function approximation”, Matem. Mod., 24:9 (2012),  63–69  mathnet  mathscinet  elib; Math. Models Comput. Simul., 5:2 (2013), 175–179  scopus
1999
24. E. N. Aristova, V. Ya. Gol'din, A. V. Shilkov, S. V. Shilkova, “System “ATRAD” for calculations of atmospheric radiation: calculation of solar radiation transport in mid-latitude summer atmosphere”, Matem. Mod., 11:5 (1999),  117–125  mathnet 7
25. A. V. Shilkov, S. V. Shilkova, “System “ATRAD” for calculations of atmospheric radiation: calculation of heat radiation transport in mid-latitude summer atmosphere without cloudiness”, Matem. Mod., 11:1 (1999),  18–24  mathnet 5
1997
26. A. V. Shilkov, I. L. Tsvetkova, S. V. Shilkova, “System “ATRAD” for calculations of atmospheric radiation: Lebesgue averaging of radiation spectra and cross-sections”, Matem. Mod., 9:6 (1997),  3–24  mathnet  zmath 11
1996
27. A. V. Shilkov, I. L. Tsvetkova, S. V. Shilkova, “System “ATRAD” for calculations of atmospheric radiation: reconstruction of absorption and scattering cross-sections”, Matem. Mod., 8:8 (1996),  104–127  mathnet  zmath 3
1994
28. A. V. Shilkov, I. L. Tsvetkova, S. V. Shilkova, “Code system and data base “ATRAD” for precise calculations of atmospheric radiation”, Matem. Mod., 6:7 (1994),  91–102  mathnet  zmath 6
1992
29. S. V. Mozheyko, I. L. Tsvetkova, A. V. Shilkov, “The calculation of radiative transfer in a hot air”, Matem. Mod., 4:1 (1992),  65–82  mathnet 7
1991
30. A. V. Shilkov, “Averaging of cross sections and spectrum in neutron transport”, Matem. Mod., 3:2 (1991),  63–81  mathnet 16
1989
31. I. L. Tsvetkova, A. V. Shilkov, “Averaging of transport equation in a resonantly absorbing medium”, Matem. Mod., 1:1 (1989),  91–100  mathnet  mathscinet  zmath 14
2014
32. B. N. Chetverushkin, N. N. Kalitkin, V. I. Ritus, E. N. Aristova, A. V. Shilkov, “In memory of V. Ya. Gol'din”, Matem. Mod., 26:7 (2014),  147–148  mathnet

Presentations in Math-Net.Ru
1. Метод лебеговского осреднения спектров тепловой радиации
A. V. Shilkov
Scientific Seminar of the Laboratory of mathematical modeling of nonlinear processes in gaseous media
June 5, 2013 16:00

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