Il'inskii Anatolii Serafimovich

Publications in Math-Net.Ru

1. On the convergence of the barycentric method in solving internal Dirichlet and Neumann problems in $ \mathbb{R}^2$ for the Helmholtz equation
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:1 (2021),  3–18
2. An approximate method for determining the harmonic barycentric coordinates for arbitrary polygons
   
   Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019),  391–408
3. Inversion of a logarithmic operator defined on a regular set of arcs lying on a circle
   
   Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009),  1484–1496
4. Grid boundary equations on conducting surfaces with symmetries and their numerical analysis in problems of diffraction by a sphere
   
   Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  756–782
5. A mathematical model for the problem of diffraction by an inhomogeneous cylindrical body
   
   Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1563–1571
6. The Bubnov–Galerkin method for an integral operator equation of a linear vibrator
   
   Differ. Uravn., 31:9 (1995),  1548–1551
7. A method for the numerical solution of the problem of diffraction by a heterogeneous dielectric cylinder and its justification
   
   Zh. Vychisl. Mat. Mat. Fiz., 35:1 (1995),  53–70
8. The iterative method of the integral equation solutions of the wire antenna theory
   
   Mat. Model., 6:3 (1994),  52–59
9. The finite element method in the problem of diffraction by a periodic structure
   
   Zh. Vychisl. Mat. Mat. Fiz., 31:11 (1991),  1684–1691
10. Investigation of infinite-dimensional systems of linear algebraic equations of the second kind in wave guide diffraction problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 31:3 (1991),  339–352
11. Variational formulation of diffraction problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990),  910–919
12. A new scheme of the projection method for studying circular corrugated waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989),  1012–1022
13. Regularization of an integral operator with logarithmic singularities of the kernel
    
    Differ. Uravn., 24:8 (1988),  1433–1437
14. Application of the finite element method to the problem of wave propagation in an irregular waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1202–1209
15. The semi-inversion method in problems of wave diffraction on bifurcations of irregular plane waveguides
    
    Dokl. Akad. Nauk SSSR, 294:6 (1987),  1345–1349
16. Integral equations of the first kind with a logarithmic singularity in the kernel and their application to problems of diffraction by thin screens
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1050–1057
17. 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
18. Justification of the modified incomplete projection method for problems of scattering by hydrometeors
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:10 (1986),  1535–1551
19. Approximation of vector fields
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:9 (1986),  1412–1415
20. An algorithm for calculating the reflection coefficients in problems of diffraction by smooth corrugated surfaces in inhomogeneous media
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:6 (1986),  947–950
21. Alekseǐ Georgievich Sveshnikov (on the occasion of his sixtieth birthday)
    
    Differ. Uravn., 21:2 (1985),  357–360
22. A spectral method for computing the constants of propagation of cellular waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985),  381–391
23. An investigation of the dispersion equations in the spectral method
    
    Dokl. Akad. Nauk SSSR, 271:4 (1983),  793–795
24. The stability of the incomplete Galerkin method in problems of wave diffraction at a bounded body
    
    Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983),  1501–1506
25. Analysis of the statistical properties of periodic antenna arrays with local excitation by means of the Galerkin incomplete method
    
    Dokl. Akad. Nauk SSSR, 262:4 (1982),  843–847
26. Justification of a method for calculating characteristic waves of a microstrip transmission line
    
    Differ. Uravn., 17:10 (1981),  1868–1874
27. A method of nonorthogonal series in problems of electromagnetic wave diffraction
    
    Dokl. Akad. Nauk SSSR, 247:6 (1979),  1351–1354
28. Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  631–639
29. On the direct method in problems of diffraction by smooth infinite wavy surfaces in inhomogeneous media
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:2 (1979),  426–443
30. The developments of mathematical methods for the study of direct and inverse problems in electrodynamics
    
    Uspekhi Mat. Nauk, 31:6(192) (1976),  123–141
31. A method for the study of problems of the diffraction of waves by a periodic lattice
    
    Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  1063–1067
32. A direct method of calculating periodic lattices
    
    Zh. Vychisl. Mat. Mat. Fiz., 13:1 (1973),  119–126
33. Design problems in the electrodynamics
    
    Dokl. Akad. Nauk SSSR, 204:5 (1972),  1077–1080
34. The direct method for problems of diffraction on a local nonhomogeneous body
    
    Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971),  960–968
35. Methods for investigating irregular waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  363–373
36. A method for investigating non-regular wave guides with impedance conditions at the boundary
    
    Dokl. Akad. Nauk SSSR, 176:2 (1967),  255–258
37. Calculation of waveguide transition of composite form
    
    Zh. Vychisl. Mat. Mat. Fiz., 3:3 (1963),  478–488


38. Aleksei Georgievich Sveshnikov (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 60:2(362) (2005),  187–190
39. Aleksei Georgievich Sveshnikov (on the occasion of his eightieth birthday)
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005),  371–373
40. Book review
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1522
41. Conference “Problems of Mathematical Physics and Adjacent Problems of Calculus Mathematics and Theory of Differential Equations”
    
    Uspekhi Mat. Nauk, 32:2(194) (1977),  245–246
42. Alekseǐ Georgievič Svešnikov (on the occasion of his fiftieth birthday)
    
    Differ. Uravn., 11:5 (1975),  942–945