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Publications in Math-Net.Ru |
Citations |
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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 ; Math. Models Comput. Simul., 13:6 (2021), 1064–1076 |
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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. |
3. |
A. V. Shilkov, “Lebesgue moment method for solving the neutron transport equation”, Matem. Mod., 32:5 (2020), 59–94 ; Math. Models Comput. Simul., 13:1 (2021), 37–59 |
3
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4. |
A. V. Shilkov, “Tensor expansions of the angular particle distribution”, Matem. Mod., 32:3 (2020), 61–80 ; Math. Models Comput. Simul., 12:6 (2020), 883–896 |
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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. |
6. |
A. V. Shilkov, “On the solution of second-order linear elliptic equations”, Matem. Mod., 31:6 (2019), 55–81 ; Math. Models Comput. Simul., 12:4 (2020), 597–612 |
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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. |
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. |
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. |
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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 |
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11. |
A. V. Shilkov, “On the solution of elliptic equations by the ray variable method”, Keldysh Institute preprints, 2017, 119, 36 pp. |
1
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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 ; Comput. Math. Math. Phys., 57:6 (2017), 1022–1035 |
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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. |
14. |
A. V. Shilkov, “Spectral momentum method in collisional-radiative modeling of plasmas”, Keldysh Institute preprints, 2016, 036, 48 pp. |
1
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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. |
1
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16. |
A. V. Shilkov, “The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems”, Matem. Mod., 28:11 (2016), 33–54 ; Math. Models Comput. Simul., 9:3 (2017), 263–280 |
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2015 |
17. |
A. V. Shilkov, “The equations for the spectral moments of the distribution function of photons”, Keldysh Institute preprints, 2015, 077, 36 pp. |
2
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18. |
A. V. Shilkov, M. N. Gerthev, “The Lebesgue’s averaging method veryfication”, Matem. Mod., 27:8 (2015), 13–31 ; Math. Models Comput. Simul., 8:2 (2016), 93–107 |
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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 ; Math. Models Comput. Simul., 7:5 (2015), 409–429 |
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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 ; Math. Models Comput. Simul., 7:1 (2015), 36–50 |
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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 ; Math. Models Comput. Simul., 6:5 (2014), 465–479 |
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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 |
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23. |
A. V. Shilkov, “The Plank function approximation”, Matem. Mod., 24:9 (2012), 63–69 ; Math. Models Comput. Simul., 5:2 (2013), 175–179 |
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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 |
7
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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 |
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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 |
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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 |
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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 |
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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 |
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1991 |
30. |
A. V. Shilkov, “Averaging of cross sections and spectrum in neutron transport”, Matem. Mod., 3:2 (1991), 63–81 |
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1989 |
31. |
I. L. Tsvetkova, A. V. Shilkov, “Averaging of transport equation in a resonantly absorbing medium”, Matem. Mod., 1:1 (1989), 91–100 |
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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 |
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