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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
A. A. Klyachin, “Extraction of features in images based on integral transformations in solving problems of classification of fragments of photographs”, Izv. Saratov Univ. Math. Mech. Inform., 24:3 (2024), 432–441 |
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2022 |
2. |
A. A. Klyachin, V. A. Klyachin, “Uniqueness theorems for recovering the inverse image under degenerate transformations”, Izv. Saratov Univ. Math. Mech. Inform., 22:1 (2022), 15–27 |
3. |
A. A. Klyachin, “On $C^1$-convergence of piecewise polynomial solutions to a fourth order variational equation”, Ufimsk. Mat. Zh., 14:3 (2022), 63–73 ; Ufa Math. J., 14:3 (2022), 60–69 |
4. |
A. A. Klyachin, “Construction of $C^1$-smooth piecewise quadratic functions for solving boundary value problems of 4th order equations”, Mathematical Physics and Computer Simulation, 25:3 (2022), 5–14 |
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2021 |
5. |
A. A. Klyachin, V. A. Klyachin, “Algorithm for restoring the surface of an object from its image”, Mathematical Physics and Computer Simulation, 24:1 (2021), 16–24 |
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2020 |
6. |
A. A. Klyachin, V. A. Klyachin, “Existence and uniqueness theorems for solutions of inverse problems of projective geometry for 3D reconstruction from photographs”, Chebyshevskii Sb., 21:4 (2020), 117–128 |
7. |
A. A. Klyachin, A. G. Panchånko, “Error estimation of area calculation for piecewise polynomial approximation”, Mathematical Physics and Computer Simulation, 23:2 (2020), 22–30 |
8. |
A. A. Klyachin, V. A. Klyachin, “Research in the field of geometric analysis at Volgograd state university”, Mathematical Physics and Computer Simulation, 23:2 (2020), 5–21 |
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2019 |
9. |
A. A. Klyachin, “Estimation of the error of calculating the functional containing higher-order derivatives on a triangular grid”, Sib. Èlektron. Mat. Izv., 16 (2019), 1856–1867 |
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10. |
A. A. Klyachin, V. A. Klyachin, “The approximation of the fourth-order partial differential equations in the class of the piecewise polynomial functions on the triangular grid”, Mathematical Physics and Computer Simulation, 22:2 (2019), 65–72 |
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2018 |
11. |
A. A. Klyachin, “Construction of a triangular gridfor regions bounded by closed simple curves”, Mathematical Physics and Computer Simulation, 21:3 (2018), 31–38 |
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2017 |
12. |
E. G. Grigor'eva, V. A. Klyachin, A. A. Klyachin, “Universal software for solving multidimensional variational problems”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2017, no. 2(39), 39–55 |
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13. |
A. A. Klyachin, “The construction of the triangulation of plane domains by grinding method”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2017, no. 2(39), 18–28 |
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2016 |
14. |
A. A. Klyachin, I. V. Truhlyaeva, “On convergence of polynomial solutions of minimal surface”, Ufimsk. Mat. Zh., 8:1 (2016), 72–83 ; Ufa Math. J., 8:1 (2016), 68–78 |
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15. |
A. V. Bokov, A. A. Klyachin, M. A. Korytova, “Discretization of differential equations of convection and diffusion based on control volume method”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 4(35), 25–43 |
16. |
A. A. Klyachin, A. G. Panchånko, “Modeling minimum triangulated surfaces: error estimation calculating the area of the design of facilities”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 3(34), 73–83 |
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17. |
A. A. Klyachin, “Mathematical model for reconstructing a damaged bitmap”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 1(32), 48–56 |
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2015 |
18. |
A. A. Klyachin, “On the uniform convergence of piecewise linear solutions to the equilibrium capillary surface equation”, Sib. Zh. Ind. Mat., 18:2 (2015), 52–62 ; J. Appl. Industr. Math., 9:3 (2015), 381–391 |
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19. |
A. A. Klyachin, A. Yu. Bålånikina, “Triangulation of spatial elementary domains”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 4(29), 6–12 |
20. |
A. A. Klyachin, “Error estimate calculation of integral functionals using piecewise linear functions”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 1(26), 6–12 |
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2014 |
21. |
M. A. Gatsunaev, A. A. Klyachin, “On uniform convergence of piecewise-linear solutions to minimal surface equation”, Ufimsk. Mat. Zh., 6:3 (2014), 3–16 ; Ufa Math. J., 6:3 (2014), 3–16 |
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2005 |
22. |
A. A. Klyachin, V. M. Miklyukov, “Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions”, Funktsional. Anal. i Prilozhen., 39:3 (2005), 28–36 ; Funct. Anal. Appl., 39:3 (2005), 187–193 |
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2003 |
23. |
A. A. Klyachin, “Description of the set of singular entire solutions of the maximal surface equation”, Mat. Sb., 194:7 (2003), 83–104 ; Sb. Math., 194:7 (2003), 1035–1054 |
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1995 |
24. |
A. A. Klyachin, “Solvability of the Dirichlet problem for the equation of maximal
surfaces with singularities in unbounded domains”, Dokl. Akad. Nauk, 342:2 (1995), 162–164 |
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1993 |
25. |
A. A. Klyachin, V. M. Miklyukov, “Existence of solutions with singularities for the maximal surface equation in Minkowski space”, Mat. Sb., 184:9 (1993), 103–124 ; Russian Acad. Sci. Sb. Math., 80:1 (1995), 87–104 |
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1992 |
26. |
A. A. Klyachin, V. M. Miklyukov, “Traces of functions with spacelike graphs, and the extension problem under restrictions on the gradient”, Mat. Sb., 183:7 (1992), 49–64 ; Russian Acad. Sci. Sb. Math., 76:2 (1993), 305–316 |
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1991 |
27. |
A. A. Klyachin, V. M. Miklyukov, “Space-like hypersurfaces and a problem on the continuation of a
function with constraints on the gradient”, Dokl. Akad. Nauk SSSR, 320:4 (1991), 781–784 ; Dokl. Math., 44:2 (1992), 521–524 |
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2014 |
28. |
F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014), 173–176 ; Russian Math. Surveys, 69:3 (2014), 565–568 |
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