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Publications in Math-Net.Ru |
Citations |
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2021 |
1. |
A. S. Il'inskii, I. S. Polyanskii, D. E. Stepanov, “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 |
6
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2019 |
2. |
A. S. Il'inskii, I. S. Polyanskii, “An approximate method for determining the harmonic barycentric coordinates for arbitrary polygons”, Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019), 391–408 ; Comput. Math. Math. Phys., 59:3 (2019), 366–383 |
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2009 |
3. |
A. S. Il'inskii, E. V. Chernokozhin, “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 ; Comput. Math. Math. Phys., 49:8 (2009), 1415–1428 |
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2001 |
4. |
I. A. Zagorodnov, A. S. Il'inskii, R. P. Tarasov, “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 ; Comput. Math. Math. Phys., 41:5 (2001), 712–737 |
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1998 |
5. |
A. S. Il'inskii, Yu. Yu. Kapustin, A. B. Samokhin, “A mathematical model for the problem of diffraction by an inhomogeneous cylindrical body”, Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998), 1563–1571 ; Comput. Math. Math. Phys., 38:9 (1998), 1499–1507 |
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1995 |
6. |
A. S. Il'inskii, “The Bubnov–Galerkin method for an integral operator equation of a linear vibrator”, Differ. Uravn., 31:9 (1995), 1548–1551 ; Differ. Equ., 31:9 (1995), 1505–1508 |
7. |
A. S. Il'inskiĭ, L. M. Nekrasov, “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 ; Comput. Math. Math. Phys., 35:1 (1995), 37–51 |
2
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1994 |
8. |
A. S. Il'inskii, O. U. Perfilov, A. B. Samokhin, “The iterative method of the integral equation solutions of the wire antenna theory”, Mat. Model., 6:3 (1994), 52–59 |
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1991 |
9. |
A. S. Il'inskii, O. M. Maslovskaya, “The finite element method in the problem of diffraction by a periodic structure”, Zh. Vychisl. Mat. Mat. Fiz., 31:11 (1991), 1684–1691 ; U.S.S.R. Comput. Math. Math. Phys., 31:11 (1991), 57–63 |
10. |
A. S. Il'inskii, E. Yu. Fomenko, “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 ; U.S.S.R. Comput. Math. Math. Phys., 31:3 (1991), 1–11 |
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1990 |
11. |
A. S. Il'inskii, O. M. Maslovskaya, “Variational formulation of diffraction problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990), 910–919 ; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 191–197 |
2
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1989 |
12. |
A. S. Il'inskii, M. V. Tupikov, “A new scheme of the projection method for studying circular corrugated waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989), 1012–1022 ; U.S.S.R. Comput. Math. Math. Phys., 29:4 (1989), 34–40 |
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1988 |
13. |
A. S. Il'inskii, E. V. Chernokozhin, “Regularization of an integral operator with logarithmic singularities of the kernel”, Differ. Uravn., 24:8 (1988), 1433–1437 ; Differ. Equ., 24:8 (1988), 941–944 |
14. |
A. S. Il'inskii, A. F. Kadomtseva, “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 ; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 159–164 |
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1987 |
15. |
A. S. Il'inskii, A. A. Kuraev, G. Ya. Slepyan, A. Ya. Slepyan, “The semi-inversion method in problems of wave diffraction on bifurcations of irregular plane waveguides”, Dokl. Akad. Nauk SSSR, 294:6 (1987), 1345–1349 |
1
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16. |
È. A. Guseinov, A. S. Il'inskii, “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 ; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 58–63 |
2
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17. |
A. S. Il'inskii, Yu. G. Smirnov, “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 ; U.S.S.R. Comput. Math. Math. Phys., 27:1 (1987), 163–170 |
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1986 |
18. |
V. F. Apel'tsin, A. S. Il'inskii, B. R. Sabitov, “Justification of the modified incomplete projection method for problems of scattering by hydrometeors”, Zh. Vychisl. Mat. Mat. Fiz., 26:10 (1986), 1535–1551 ; U.S.S.R. Comput. Math. Math. Phys., 26:5 (1986), 169–181 |
2
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19. |
V. F. Apel'tsin, A. S. Il'inskii, B. R. Sabitov, “Approximation of vector fields”, Zh. Vychisl. Mat. Mat. Fiz., 26:9 (1986), 1412–1415 ; U.S.S.R. Comput. Math. Math. Phys., 26:5 (1986), 89–91 |
1
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20. |
A. S. Il'inskii, O. B. Popov, “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 ; U.S.S.R. Comput. Math. Math. Phys., 26:3 (1986), 197–200 |
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1985 |
21. |
A. N. Tikhonov, A. A. Samarskii, A. S. Il'inskii, S. A. Gabov, “Alekseǐ Georgievich Sveshnikov (on the occasion of his sixtieth birthday)”, Differ. Uravn., 21:2 (1985), 357–360 |
1
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22. |
A. S. Il'inskii, M. M. Mutallimov, “A spectral method for computing the constants of propagation of cellular waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985), 381–391 ; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 38–44 |
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1983 |
23. |
A. S. Il'inskii, M. M. Mutallimov, “An investigation of the dispersion equations in the spectral method”, Dokl. Akad. Nauk SSSR, 271:4 (1983), 793–795 |
24. |
A. S. Il'inskii, Z. Z. Sitshaeva, “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 ; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 136–139 |
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1982 |
25. |
A. A. Bykov, A. S. Il'inskii, “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 |
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1981 |
26. |
A. S. Il'inskii, “Justification of a method for calculating characteristic waves of a microstrip transmission line”, Differ. Uravn., 17:10 (1981), 1868–1874 |
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1979 |
27. |
Yu. A. Eremin, A. S. Il'inskii, A. G. Sveshnikov, “A method of nonorthogonal series in problems of electromagnetic wave diffraction”, Dokl. Akad. Nauk SSSR, 247:6 (1979), 1351–1354 |
28. |
A. A. Bykov, A. S. Il'inskii, “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 ; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 74–82 |
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29. |
A. S. Il'inskii, O. B. Popov, “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 ; U.S.S.R. Comput. Math. Math. Phys., 19:2 (1979), 159–177 |
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1976 |
30. |
V. I. Dmitriev, A. S. Il'inskii, A. G. Sveshnikov, “The developments of mathematical methods for the study of direct and inverse problems in electrodynamics”, Uspekhi Mat. Nauk, 31:6(192) (1976), 123–141 ; Russian Math. Surveys, 31:6 (1976), 133–152 |
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1974 |
31. |
A. S. Il'inskii, “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 ; U.S.S.R. Comput. Math. Math. Phys., 14:4 (1974), 242–246 |
12
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1973 |
32. |
A. S. Il'inskii, “A direct method of calculating periodic lattices”, Zh. Vychisl. Mat. Mat. Fiz., 13:1 (1973), 119–126 ; U.S.S.R. Comput. Math. Math. Phys., 13:1 (1973), 152–161 |
3
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1972 |
33. |
A. G. Sveshnikov, A. S. Il'inskii, “Design problems in the electrodynamics”, Dokl. Akad. Nauk SSSR, 204:5 (1972), 1077–1080 |
1
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1971 |
34. |
A. G. Sveshnikov, A. S. Il'inskii, “The direct method for problems of diffraction on a local nonhomogeneous body”, Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971), 960–968 ; U.S.S.R. Comput. Math. Math. Phys., 11:4 (1971), 180–189 |
3
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1968 |
35. |
A. S. Il'inskii, A. G. Sveshnikov, “Methods for investigating irregular waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968), 363–373 ; U.S.S.R. Comput. Math. Math. Phys., 8:2 (1968), 167–180 |
7
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1967 |
36. |
A. S. Il'inskii, A. G. Sveshnikov, “A method for investigating non-regular wave guides with impedance conditions at the boundary”, Dokl. Akad. Nauk SSSR, 176:2 (1967), 255–258 |
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1963 |
37. |
A. G. Sveshnikov, A. S. Il'inskii, “Calculation of waveguide transition of composite form”, Zh. Vychisl. Mat. Mat. Fiz., 3:3 (1963), 478–488 ; U.S.S.R. Comput. Math. Math. Phys., 3:3 (1963), 635–649 |
5
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2005 |
38. |
N. S. Bakhvalov, A. N. Bogolyubov, V. F. Butuzov, V. V. Voevodin, V. A. Il'in, A. S. Il'inskii, D. P. Kostomarov, E. I. Moiseev, A. A. Samarskii, “Aleksei Georgievich Sveshnikov (on his 80th birthday)”, Uspekhi Mat. Nauk, 60:2(362) (2005), 187–190 ; Russian Math. Surveys, 60:2 (2005), 389–393 |
1
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39. |
N. S. Bakhvalov, A. N. Bogolyubov, V. F. Butuzov, V. V. Voevodin, V. A. Il'in, A. S. Il'inskii, D. P. Kostomarov, E. I. Moiseev, A. A. Samarskii, “Aleksei Georgievich Sveshnikov (on the occasion of his eightieth birthday)”, Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005), 371–373 ; Comput. Math. Math. Phys., 45:3 (2005), 353–355 |
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1982 |
40. |
A. S. Il'inskii, A. D. Iskenderov, “Book review”, Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982), 1522 ; U.S.S.R. Comput. Math. Math. Phys., 22:6 (1982), 255 |
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1977 |
41. |
V. A. Il'in, A. S. Il'inskii, “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 |
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1975 |
42. |
A. N. Tikhonov, A. A. Samarskii, A. S. Il'inskii, “Alekseǐ Georgievič Svešnikov (on the occasion of his fiftieth birthday)”, Differ. Uravn., 11:5 (1975), 942–945 |
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Organisations |
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