Klyachin Alexey Alexandrovich

Publications in Math-Net.Ru

1. 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
2. Uniqueness theorems for recovering the inverse image under degenerate transformations
   
   Izv. Saratov Univ. Math. Mech. Inform., 22:1 (2022),  15–27
3. On $C^1$-convergence of piecewise polynomial solutions to a fourth order variational equation
   
   Ufimsk. Mat. Zh., 14:3 (2022),  63–73
4. 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
5. Algorithm for restoring the surface of an object from its image
   
   Mathematical Physics and Computer Simulation, 24:1 (2021),  16–24
6. 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. Error estimation of area calculation for piecewise polynomial approximation
   
   Mathematical Physics and Computer Simulation, 23:2 (2020),  22–30
8. Research in the field of geometric analysis at Volgograd state university
   
   Mathematical Physics and Computer Simulation, 23:2 (2020),  5–21
9. Estimation of the error of calculating the functional containing higher-order derivatives on a triangular grid
   
   Sib. Èlektron. Mat. Izv., 16 (2019),  1856–1867
10. 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
11. Construction of a triangular gridfor regions bounded by closed simple curves
    
    Mathematical Physics and Computer Simulation, 21:3 (2018),  31–38
12. Universal software for solving multidimensional variational problems
    
    Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2017, no. 2(39),  39–55
13. 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
14. On convergence of polynomial solutions of minimal surface
    
    Ufimsk. Mat. Zh., 8:1 (2016),  72–83
15. 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. 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
17. Mathematical model for reconstructing a damaged bitmap
    
    Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 1(32),  48–56
18. On the uniform convergence of piecewise linear solutions to the equilibrium capillary surface equation
    
    Sib. Zh. Ind. Mat., 18:2 (2015),  52–62
19. Triangulation of spatial elementary domains
    
    Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 4(29),  6–12
20. Error estimate calculation of integral functionals using piecewise linear functions
    
    Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 1(26),  6–12
21. On uniform convergence of piecewise-linear solutions to minimal surface equation
    
    Ufimsk. Mat. Zh., 6:3 (2014),  3–16
22. Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions
    
    Funktsional. Anal. i Prilozhen., 39:3 (2005),  28–36
23. Description of the set of singular entire solutions of the maximal surface equation
    
    Mat. Sb., 194:7 (2003),  83–104
24. Solvability of the Dirichlet problem for the equation of maximal surfaces with singularities in unbounded domains
    
    Dokl. Akad. Nauk, 342:2 (1995),  162–164
25. Existence of solutions with singularities for the maximal surface equation in Minkowski space
    
    Mat. Sb., 184:9 (1993),  103–124
26. Traces of functions with spacelike graphs, and the extension problem under restrictions on the gradient
    
    Mat. Sb., 183:7 (1992),  49–64
27. 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


28. Vladimir Mikhailovich Miklyukov (obituary)
    
    Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176