Smirnov Yury Gennadievich

Publications in Math-Net.Ru

1. On the convergence of Galerkin method for solving hypersingular integral equations in special classes of functions
   
   University proceedings. Volga region. Physical and mathematical sciences, 2025, no. 3,  3–12
2. Problem of electromagnetic wave diffraction on homogeneous dielectric ball coated with graphene
   
   University proceedings. Volga region. Physical and mathematical sciences, 2025, no. 2,  63–76
3. On Fredholm property of hypersingular integral operators in special classes of functions
   
   University proceedings. Volga region. Physical and mathematical sciences, 2025, no. 2,  3–14
4. Measurement of the near electromagnetic field and restoration of inhomogeneity parameters in a dielectric body
   
   University proceedings. Volga region. Physical and mathematical sciences, 2025, no. 1,  3–12
5. a numerical method for solving the microwave tomography problem of restoring inhomogenettes in a cylindrical body
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:10 (2025),  1746–1758
6. On the existence and uniqueness of the solution of an integro-differential equation in the problem of diffraction of an electromagnetic wave on an inhomogeneous diejectric body coated with graphene
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:9 (2025),  1518–1524
7. Numerical solution of a vector 3d inverse problem on a volumetric inhomogeneous dielectric hemisphere by a two-step method
   
   University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 4,  3–17
8. System of singular integral equations in the problem of electromagnetic oscillations of a graphene-coated dielectric ball
   
   University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 3,  3–17
9. A solution of the inverse problem for the Havriliak - Negami model in detecting breast tumors using impedance spectroscopy
   
   University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 2,  3–12
10. On the solvability of the integral electric field equation for nonabsorbing media
    
    University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 1,  38–50
11. A numerical method for solving a system of integral equations in the problem of electromagnetic waves' propagation in a graphene rod
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 4,  60–74
12. On the fredholm property of integral equations system in the problem of electromagnetic waves propagation in a graphene-coated rod
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 3,  74–86
13. On the solution of the nonlinear Lippmann - Schwinger integral equation by the method of contracting maps
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 3,  3–10
14. The propagation of the TM-wave in a flat semi-open dielectric layer with nonlocal nonlinearity
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 1,  40–53
15. A modified method for separating variables in the diffraction problem of TM-polarized wave on diffraction grating
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 1,  3–14
16. Numerical study of the problem of electromagnetic oscillations of a three-layer spherical resonator filled with a metamaterial
    
    University proceedings. Volga region. Physical and mathematical sciences, 2022, no. 4,  69–75
17. Optimization of parameters of multilayer diffraction gratings using needle variations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2022, no. 4,  56–68
18. On the propagation of electromagnetic waves in a dielectric layer coated with graphene
    
    University proceedings. Volga region. Physical and mathematical sciences, 2022, no. 3,  11–18
19. On the existence of nonlinear coupled surface TE- and leaky TM-electromagnetic waves in a circular cylindrical waveguide
    
    University proceedings. Volga region. Physical and mathematical sciences, 2022, no. 1,  13–27
20. Method of $Y$-mappings for study of multiparameter nonlinear eigenvalue problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  159–165
21. Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies
    
    Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021),  59–63
22. Study of diffraction efficiency of diffraction gratings by the modified method of variables separation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 4,  57–70
23. Problem research of an open circular waveguide normal waves with an inhomogeneous chiral layer
    
    University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 1,  85–101
24. Numerical study of propagation of nonlinear coupled surface and leaky electromagnetic waves in a circular cylindrical metal–dielectric waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021),  1378–1389
25. Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:1 (2021),  85–94
26. On the existence of an infinite number of leaky complex waves in a dielectric layer
    
    Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  63–66
27. On the discreteness of the spectrum of integrodifferential operator-functions in the problem of oscillations in open volume resonators
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 4,  22–31
28. The solution of a vector 3D inverse diffraction ploblem on a 3D heterogeneous body by a two-sweep method
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 4,  3–21
29. On a method for solving the problem of electromagnetic wave diffraction on a diffraction grating
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 3,  31–38
30. Numerical method for calculating the segments' work of the left ventricle
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 1,  22–35
31. Two-step method for solving the scalar reverse three-dimensional diffraction problem on a volume heterogeneous body
    
    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 4,  12–28
32. Substantiation of the numerical method for solving the diffraction problem on a system of intersecting bodies and screens
    
    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 4,  4–11
33. On the solvability of the problem of electromagnetic wave diffraction by a layer filled with a nonlinear medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  684–698
34. The two-dimensional inverse scalar problem of diffraction by an inhomogeneous obstacle with a piecewise continuous refractive index
    
    University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 3,  3–16
35. Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018),  1955–1970
36. The two-sweep method for heterogeneous body's permittivity determination in a waveguide
    
    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 4,  106–118
37. The inverse problem of body's heterogeneity recovery for early diagnostics of diseases using microwave tomography
    
    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 4,  3–17
38. On spectrum's discrete nature in the problem of azimuthal symmetrical waves of an open nonhomogeneous anisotropic waveguide with longitudinal magnetization
    
    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 3,  50–64
39. The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas
    
    Mat. Model., 29:1 (2017),  109–118
40. On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017),  702–709
41. Convergence of the Galerkin method in the electromagnetic waves diffraction problem on a system of arbitrary located bodies and screens
    
    University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 2,  78–86
42. On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1657–1666
43. Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016),  490–497
44. On the smoothness of solutions of electric field volume singular integro-differential equation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 2,  46–56
45. Existence and unicity of the solution of the diffraction problem for an electromagnetic wave on a system of non-intersecting bodies and screens
    
    University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 1,  89–97
46. Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  460–468
47. Numerical solution of the electromagnetic wave difraction problem on the sytem of bodies and screens
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 3,  114–133
48. Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1319–1331
49. On the problem of propagation of nonlinear coupled TE–TM waves in a layer
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  504–518
50. Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao–Wilton–Glisson method
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:1 (2014),  105–113
51. A nonlinear transmission eigenvalue problem that describes electromagnetic ТЕ wave propagation in a plane inhomogeneous nonlinear dielectric waveguide
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 2,  50–63
52. Restoration of dielectric permittivity of a heterogeneous body placed into a rectangular waveguide according to transmission and reflection coefficients
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 1,  5–18
53. Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013),  1150–1161
54. Solving the problem of electromagnetic wave diffraction on screens of complex shape
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 4,  59–72
55. Propagation of coupled electromagnetic TE and TM waves in a plane layer with Kerr nonlinearity
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 4,  21–48
56. On the propagation of electromagnetic waves in cylindrical inhomogeneous dielectric waveguides filled with a nonlinear medium
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3,  3–16
57. The method of integral equations for solving the Dirichlet problem in a perturbed three-dimensional layer
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 1,  92–102
58. Numerical method in the problem of propagation of electromagnetic TE waves in a two-layer nonlinear waveguide structure
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 1,  66–74
59. Итерационный метод определения диэлектрической проницаемости образца неоднородного материала, расположенного в прямоугольном волноводе
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012),  2228–2237
60. Influence of a metamaterial matrix on the stability of 2D tunnel bifurcations in quantum molecules
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 4,  127–141
61. Iterative method for determining the effective dielectric constant of a non-uniform material sample
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 3,  3–13
62. Influence of the dielectric matrix on 2D tunnel bifurcations under external electric field conditions
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 1,  140–153
63. Iterative method for determining the dielectric constant of a non-uniform material sample
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 1,  20–30
64. Collocation method for solving the electric field equation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4,  89–100
65. Numerical and analytical solution of the problem of electromagnetic field diffraction on two sections with different permittivity located in a rectangular waveguide
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4,  73–81
66. Propagation of TM-polarized electromagnetic waves in a dielectric layer of a nonlinear metamaterial
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 3,  71–87
67. On the solvability of a nonlinear eigenvalue boundary value problem for propagating TM waves in a circular nonlinear waveguide
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 3,  55–70
68. Numerical and analytical solution of the problem of electromagnetic field diffraction on a dielectric parallelepiped located in a rectangular waveguide
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 2,  44–53
69. A sub-hierarchical approach for solving the volumetric singular integral equation of the diffraction problem on a dielectric body in a waveguide by collocation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 2,  32–43
70. Dispersion equations in the problem of electromagnetic wave propagation in a linear layer and metamaterials
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 1,  28–42
71. Numerical solution of the problem of propagation of electromagnetic TM waves in circular dielectric waveguides filled with a nonlinear medium
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 1,  2–13
72. On the existence and uniqueness of solutions of the inverse boundary value problem for determining the dielectric permittivity of materials
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010),  1587–1597
73. The method of pseudodifferential operators for the study of a volumetric singular integral equation of an electric field
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4,  70–84
74. Numerical solution of a volumetric singular integral equation by the collocation method
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4,  54–69
75. A collocation method for solving a volumetric singular integral equation in the problem of determining the dielectric constant of a material
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 3,  71–87
76. Features of two-dimensional tunnel bifurcations under conditions of an external electric field
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 2,  123–135
77. Analytical continuation of the Green's function for the equation Helmholtz in the layer
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 2,  83–90
78. Transformation of two-photon impurity absorption spectra under conditions of dissipative tunneling in a quantum molecule
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  145–155
79. A numerical method for solving a pseudodifferential equation in the diffraction problem in layers connected through a hole
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  87–99
80. On the existence and uniqueness of solutions to the inverse boundary value problem for determining the effective permittivity of nanomaterials
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  11–24
81. A nonlinear boundary eigenvalues problem for TM-polarized electromagnetic waves in a nonlinear layer
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 10,  70–74
82. The method of integral equations for an inhomogeneous waveguide with nonlinear filling according to Kerr's law
    
    University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 4,  26–31
83. Application of GRID technologies for solving a nonlinear volumetric singular integral equation to determine the effective permittivity of nanomaterials
    
    University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 3,  39–54
84. Application of GRID technologies for solving a volumetric singular integral equation for the problem of diffraction on a dielectric body by the subierarchical method
    
    University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 2,  2–14
85. Propagation of TM waves in a Kerr nonlinear layer
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2186–2194
86. Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  129–139
87. Existence and Uniqueness of a Solution of a Singular Volume Integral Equation in a Diffraction Problem
    
    Differ. Uravn., 41:9 (2005),  1190–1197
88. A parallel algorithm for computing surface currents in a screen electromagnetic diffraction problem
    
    Num. Meth. Prog., 6:1 (2005),  99–108
89. Investigation of an electromagnetic problem of diffraction by a dielectric body using the method of a volume singular integral equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004),  2252–2267
90. The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1850–1860
91. Strong ellipticity of the hybrid formulation of the electromagnetic diffraction problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:2 (2000),  286–299
92. The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:10 (1994),  1461–1475
93. On the solvability of vector problems of diffraction in domains connected through an opening in a screen
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:9 (1993),  1427–1440
94. On the Fredholm property of a system of pseudodifferential equations in the problem of diffraction by a bounded screen
    
    Differ. Uravn., 28:1 (1992),  136–143
95. The Fredholm property of the problem of diffraction by a flat bounded ideally conducting screen
    
    Dokl. Akad. Nauk SSSR, 319:1 (1991),  147–149
96. The method of operator pencils in boundary value problems of conjugation for a system of elliptic equations
    
    Differ. Uravn., 27:1 (1991),  140–147
97. The application of the operator pencil method in a problem concerning the natural waves of a partially filled wave guide
    
    Dokl. Akad. Nauk SSSR, 312:3 (1990),  597–599
98. Completeness of the system of eigen- and associated waves of a partially filled waveguide with an irregular boundary
    
    Dokl. Akad. Nauk SSSR, 297:4 (1987),  829–832
99. Mathematical modeling of the process of propagation of electromagnetic oscillations in a slot transmission line
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  252–261