Medvedik Mikhail Yur'evich

Publications in Math-Net.Ru

1. An iterative algorithm for solving nonlinear integral equations
   
   University proceedings. Volga region. Physical and mathematical sciences, 2025, no. 3,  36–44
2. Determination of the structure of objects and their visualization in the problem of restoring the permittivity by the results of measurements of the near electromagnetic field
   
   University proceedings. Volga region. Physical and mathematical sciences, 2025, no. 2,  15–26
3. 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
4. Reconstruction of the object inhomogeneity parameters from near-field measurements in microwave tomography problem using neural networks
   
   University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 4,  53–66
5. Using combined computational grids in the problem of reconstructing body inhomogeneities based on near-field measurement results
   
   University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 3,  64–74
6. The microwave tomography method for solving the inverse problem on cylindrical bodies
   
   University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 1,  107–117
7. Method of generalized and combined computational grids for restoration the parameters of inhomogeneities of a body based on the results of measurements of the electromagnetic field
   
   Mat. Model., 36:4 (2024),  24–36
8. Algorithm for searching inhomogeneities in inverse nonlinear diffraction problems
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 166:3 (2024),  395–406
9. Calculation of diffraction efficiency in the problem of designing multilevel diffraction gratings
   
   Num. Meth. Prog., 25:3 (2024),  336–346
10. Two iterative methods for solving the volumetric singular equation for a nonlinear diffraction problem in a semi-infinite rectangular waveguide
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 4,  49–59
11. An iterative scheme for solving a Lippmann - Schwinger nonlinear integral equation by the Galerkin method
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 3,  66–73
12. A problem of reconstruction of inhomogeneity parameters of a two-dimension body by the measurement results of acoustic field
    
    University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 2,  11–18
13. Solution of a scalar two-dimensional nonlinear diffraction problem for objects of arbitrary shape
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 165:2 (2023),  167–177
14. 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
15. 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
16. The inverse problem of determining the inhomogeneity parameters of bodies located in free space
    
    University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 4,  50–61
17. 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
18. The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas
    
    Mat. Model., 29:1 (2017),  109–118
19. Comparison of numerical methods for solving integral-differential equation of electromagnetic field
    
    University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 1,  3–12
20. Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016),  490–497
21. 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
22. Solution of integral equations by means of subhierarchic method for generalized computational grids
    
    Mat. Model., 27:4 (2015),  81–96
23. The iteration method for solving direct and inverse two-dimensional acoustic problems
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 4,  28–36
24. 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
25. 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
26. 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
27. Numerical solution of the problem of electromagnetic wave diffraction on the copound body, located in free space
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 2,  17–32
28. 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
29. Solving the inverse electromagnetic diffraction problem in rectangular waveguide using the method of asymptotic integral equations
    
    Zhurnal SVMO, 15:3 (2013),  148–157
30. Calculating the surface currents in electromagnetic scattering by screens of complex geometry
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013),  615–623
31. 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
32. A sub-hierarchical method for solving the problem of diffraction of electromagnetic waves on non-planar screens of complex geometric shape using the basic functions of covers
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 4,  12–20
33. Application of lid functions to solve the problem of diffraction of electromagnetic waves on screens of complex shape
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3,  84–98
34. A sub-hierarchical method for solving the problem of diffraction of an electromagnetic wave on a body located in free space
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 1,  83–91
35. Application of the subhierarchic method in electrodynamic problems
    
    Num. Meth. Prog., 13:1 (2012),  87–97
36. Итерационный метод определения диэлектрической проницаемости образца неоднородного материала, расположенного в прямоугольном волноводе
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012),  2228–2237
37. Numerical solution to the problem of diffraction of electromagnetic waves on a dielectric body located in a rectangular resonator
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 3,  22–31
38. 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
39. Collocation method for solving the problem of diffraction of electromagnetic waves on a dielectric body located in a resonator
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 2,  28–40
40. Some analytical solutions to the Neumann problem on a disk for the Helmholtz equation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 1,  31–39
41. A sub-hierarchical method for solving the Lippmann-Schwinger integral equation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4,  82–88
42. 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
43. A sub-hierarchical method for solving an integral equation on surfaces of arbitrary shape
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 3,  88–94
44. 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
45. 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
46. 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
47. 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
48. A sub-hierarchical method for solving an integral equation on flat screens of arbitrary shape
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4,  48–53
49. 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
50. A subierarchical 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. 3,  59–70
51. 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
52. 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
53. A parallel algorithm for computing surface currents in a screen electromagnetic diffraction problem
    
    Num. Meth. Prog., 6:1 (2005),  99–108