Bogolyubov Alexander Nikolaevich

Publications in Math-Net.Ru

1. Singular part of the electromagnetic field in problems of diffraction by bodies with edges for different types of boundary conditions
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:11 (2024),  2101–2113
2. Modeling of periodic ladder-type waveguide systems in the terahertz range
   
   Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  951–960
3. A hybrid method for numerical solution of Poisson’s equation in a domain with a dielectric corner
   
   Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017),  1321–1330
4. Hybrid methods for modeling waveguides containing local inhomogeneous insets of multilayer structure
   
   Num. Meth. Prog., 17:3 (2016),  268–279
5. Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity
   
   Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  446–459
6. Mathematical modelling of media with time dispersion using fractional derivatives
   
   Mat. Model., 25:12 (2013),  50–64
7. The calculation of plane waveguide with chiral insertion using mixed finite elements
   
   Mat. Model., 25:2 (2013),  65–85
8. Mathematical simulation of an irregular waveguide with reentering edges
   
   Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1058–1062
9. Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients
   
   Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011),  2253–2259
10. Excitation of electromagnetic oscillations in a domain with chiral filling
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1721–1728
11. On a class of nonlocal parabolic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1056–1063
12. Two-sided estimates for the eigenvalues of the Laplace operator with Dirichlet boundary conditions and their application to problems in the mathematical theory of waveguides
    
    Num. Meth. Prog., 10:1 (2009),  83–93
13. An error estimate for approximate solutions to elliptic equations with non-coercive bilinear form
    
    Num. Meth. Prog., 10:1 (2009),  34–48
14. The existence of a generalized fourier transform for a solution as a radiation condition for a class of problems generalizing oscillation excitation problems in regular waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009),  293–300
15. Mathematical modeling of the diffraction on the heterogeneity in the waveguide with the application of the hybrid finite elements
    
    Mat. Model., 20:2 (2008),  122–128
16. Method of impedance analog of electromagnetic space for solving initial boundary value problems of electrodynamics
    
    Num. Meth. Prog., 9:3 (2008),  274–304
17. Mathematical models of chirowaveguides
    
    Mat. Model., 19:5 (2007),  3–24
18. Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006),  2228–2234
19. Time asymptotics of a field excited in a waveguide by a harmonic current
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2219–2231
20. On the perturbation theory of spectral characteristics of waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  1049–1061
21. Remark on radiation conditions for an irregular waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  585–588
22. On an example of trapped modes in an irregular waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:1 (2003),  127–132
23. Resonance in a waveguide with an inhomogeneous filling
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002),  1816–1830
24. Computation of an open matching waveguide transition using effective nonlocal boundary conditions
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  514–521
25. On the root vectors of a cylindrical waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:1 (2001),  126–129
26. The finite difference method for waveguiding systems design problems
    
    Mat. Model., 12:1 (2000),  13–24
27. On the problem of excitation of a waveguide filled with an inhomogeneous medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 39:11 (1999),  1869–1888
28. On the completeness of the set of eigen- and associated functions of a waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:11 (1998),  1891–1899
29. Calculation of a two-layer light conductor by the finite difference method
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1187–1194
30. Justification of a finite-difference method for analyzing optical waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979),  1496–1505
31. Application of an iteration method to the investigation of plane waveguides with inhomogeneous filling
    
    Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  947–954
32. On a numerical method for solving linear systems of equations with tridiagonal matrix
    
    Zh. Vychisl. Mat. Mat. Fiz., 14:3 (1974),  768–771
33. Dispersion relations for Compton scattering on nucleons
    
    Dokl. Akad. Nauk SSSR, 113:3 (1957),  529–532


34. К восьмидесятилетию Валентина Фёдоровича Бутузова
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020),  169–170
35. Aleksei Georgievich Sveshnikov (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 60:2(362) (2005),  187–190
36. Aleksei Georgievich Sveshnikov (on the occasion of his eightieth birthday)
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005),  371–373
37. Sergei Sergeevich Demidov (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 58:6(354) (2003),  189–192
38. Aleksei Georgievich Sveshnikov (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 50:1(301) (1995),  219–220
39. Iosif Zaharovič Štokalo (on the occasion of his eightieth birthday)
    
    Differ. Uravn., 13:11 (1977),  2102–2104
40. History of mathematics from antiquity to the beginning of the nineteenth century (review)
    
    Uspekhi Mat. Nauk, 28:3(171) (1973),  243–247
41. The development of national mathematics (on the fiftieth anniversary of Soviet education)
    
    Differ. Uravn., 8:12 (1972),  2119–2129