Shilkov Aleksandr Viktorovich

Publications in Math-Net.Ru

1. Simulation of radiative heat transfer in supersonic plasma flows taking into account the doppler shift of lines
   
   Mat. Model., 33:4 (2021),  95–115
2. Application of model equations to iterative calculation of the neutron and photon distributions in matter
   
   Keldysh Institute preprints, 2020, 129, 36 pp.
3. Lebesgue moment method for solving the neutron transport equation
   
   Mat. Model., 32:5 (2020),  59–94
4. Tensor expansions of the angular particle distribution
   
   Mat. Model., 32:3 (2020),  61–80
5. Averaging of the neutron transport equation over energy by the Lebesgue moment method
   
   Keldysh Institute preprints, 2019, 134, 43 pp.
6. On the solution of second-order linear elliptic equations
   
   Mat. Model., 31:6 (2019),  55–81
7. Acceleration of iterations when solving the particle transport equation by extrapolating the source by iteration index
   
   Keldysh Institute preprints, 2018, 251, 27 pp.
8. Simulation of radiative heat transfer in moving plasmas, taking into account the Doppler shift of lines
   
   Keldysh Institute preprints, 2018, 250, 30 pp.
9. Decomposition of the scattering operator of the particle transport equation in a series of spherical tensors
   
   Keldysh Institute preprints, 2018, 249, 28 pp.
10. 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
11. On the solution of elliptic equations by the ray variable method
    
    Keldysh Institute preprints, 2017, 119, 36 pp.
12. Lebesgue averaging method in serial computations of atmospheric radiation
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:6 (2017),  1033–1047
13. Heat radiation transfer in the Earth atmosphere
    
    Keldysh Institute preprints, 2016, 042, 28 pp.
14. Spectral momentum method in collisional-radiative modeling of plasmas
    
    Keldysh Institute preprints, 2016, 036, 48 pp.
15. The preparation of optical constants for line-by-line and Lebesgue calculations of atmospheric radiation transport
    
    Keldysh Institute preprints, 2016, 031, 24 pp.
16. The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems
    
    Mat. Model., 28:11 (2016),  33–54
17. The equations for the spectral moments of the distribution function of photons
    
    Keldysh Institute preprints, 2015, 077, 36 pp.
18. The Lebesgue’s averaging method veryfication
    
    Mat. Model., 27:8 (2015),  13–31
19. Even- and odd-parity kinetic equations of particle transport. 3: Finite analytic scheme on tetrahedra
    
    Mat. Model., 27:2 (2015),  34–62
20. Even-odd parity transport equations. 2: The exact characteristic scheme for one-dimensional problems
    
    Mat. Model., 26:7 (2014),  33–53
21. Even–odd parity transport equations. 1: Algebraic and centered forms of the scattering source
    
    Mat. Model., 26:3 (2014),  75–96
22. Benchmark "line-by-line" calculations of atmospheric radiation
    
    Computer Research and Modeling, 4:3 (2012),  553–562
23. The Plank function approximation
    
    Mat. Model., 24:9 (2012),  63–69
24. System “ATRAD” for calculations of atmospheric radiation: calculation of solar radiation transport in mid-latitude summer atmosphere
    
    Mat. Model., 11:5 (1999),  117–125
25. System “ATRAD” for calculations of atmospheric radiation: calculation of heat radiation transport in mid-latitude summer atmosphere without cloudiness
    
    Mat. Model., 11:1 (1999),  18–24
26. System “ATRAD” for calculations of atmospheric radiation: Lebesgue averaging of radiation spectra and cross-sections
    
    Mat. Model., 9:6 (1997),  3–24
27. System “ATRAD” for calculations of atmospheric radiation: reconstruction of absorption and scattering cross-sections
    
    Mat. Model., 8:8 (1996),  104–127
28. Code system and data base “ATRAD” for precise calculations of atmospheric radiation
    
    Mat. Model., 6:7 (1994),  91–102
29. The calculation of radiative transfer in a hot air
    
    Mat. Model., 4:1 (1992),  65–82
30. Averaging of cross sections and spectrum in neutron transport
    
    Mat. Model., 3:2 (1991),  63–81
31. Averaging of transport equation in a resonantly absorbing medium
    
    Mat. Model., 1:1 (1989),  91–100


32. In memory of V. Ya. Gol'din
    
    Mat. Model., 26:7 (2014),  147–148