Kazakov Aleksandr Leonidovich

Publications in Math-Net.Ru

1. On the method of packing geodesic circles into a spherical segment using a plane projection
   
   Izv. IMI UdGU, 65 (2025),  36–53
2. Exact and approximate solutions to the quasilinear parabolic system “predator-prey” with zero fronts
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 240 (2025),  19–28
3. Analytical and numerical solutions to the problem of diffusion wave initiation for a quasilinear parabolic system
   
   Prikl. Mekh. Tekh. Fiz., 66:3 (2025),  217–229
4. On constructing the fastest collision-free routes in dynamic environments with moving obstacles
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:4 (2025),  115–131
5. Error analysis of the null field method for Laplace’s equation on circular domains with circular holes: source nodes just on domain boundaries
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:1 (2025),  161–179
6. On covering of cylindrical and conical surfaces with equal balls
   
   Bulletin of Irkutsk State University. Series Mathematics, 48 (2024),  34–48
7. On one class of exact solutions of the multidimensional nonlinear heat equation with a zero front
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234 (2024),  59–66
8. Diffusion wave initiation problem for a nonlinear parabolic system in the case of spherical and cylindrical symmetry
   
   Prikl. Mekh. Tekh. Fiz., 65:4 (2024),  97–108
9. Solutions with a zero front to the quasilinear parabolic heat equation
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024),  86–102
10. Modeling of a sea container terminal using a queuing network
    
    UBS, 112 (2024),  310–337
11. Solution to a two-dimensional nonlinear parabolic heat equation subject to a boundary condition specified on a moving manifold
    
    Zh. Vychisl. Mat. Mat. Fiz., 64:2 (2024),  283–303
12. Solution to a two-dimensional nonlinear heat equation using null field method
    
    Computer Research and Modeling, 15:6 (2023),  1449–1467
13. On some zero-front solutions of an evolution parabolic system
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224 (2023),  80–88
14. The Problem of Diffusion Wave Initiation for a Nonlinear Second-Order Parabolic System
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023),  67–86
15. Solutions of the second-order nonlinear parabolic system modeling the diffusion wave motion
    
    Bulletin of Irkutsk State University. Series Mathematics, 42 (2022),  43–58
16. Algorithms of optimal covering of 2D sets with dynamical metrics
    
    Izv. IMI UdGU, 60 (2022),  58–72
17. Construction of solutions to a degenerate reaction-diffusion system with a general nonlinearity in the cases of cylindrical and spherical symmetry
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 213 (2022),  54–62
18. Solutions to a nonlinear degenerating reaction–diffusion system of the type of diffusion waves with two fronts
    
    Prikl. Mekh. Tekh. Fiz., 63:6 (2022),  104–115
19. Exact solutions of diffusion wave type for a nonlinear second-order parabolic equation with degeneration
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022),  114–128
20. Analytical diffusion wave-type solutions to a nonlinear parabolic system with cylindrical and spherical symmetry
    
    Bulletin of Irkutsk State University. Series Mathematics, 37 (2021),  31–46
21. On the route construction in changing environments using solutions of the eikonal equation
    
    Izv. IMI UdGU, 58 (2021),  59–72
22. On solutions of the traveling wave type for the nonlinear heat equation
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 196 (2021),  36–43
23. Exact and approximate solutions to the degenerated reaction–diffusion system
    
    Prikl. Mekh. Tekh. Fiz., 62:4 (2021),  169–180
24. Exact and approximate solutions of a problem with a special feature for a convection-diffusion equation
    
    Prikl. Mekh. Tekh. Fiz., 62:1 (2021),  22–31
25. Dual null field method for Dirichlet problems of Laplace's equation in circular domains with circular holes
    
    Sib. Èlektron. Mat. Izv., 18:1 (2021),  393–422
26. Construction of solutions to the boundary value problem with singularity for a nonlinear parabolic system
    
    Sib. Zh. Ind. Mat., 24:4 (2021),  64–78
27. Iterative algorithms for constructing the thinnest coverings of convex polyhedra by sets of different balls
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021),  116–129
28. Approximate and exact solutions to the singular nonlinear heat equation with a common type of nonlinearity
    
    Bulletin of Irkutsk State University. Series Mathematics, 34 (2020),  18–34
29. On covering bounded sets by collections of circles of various radii
    
    Bulletin of Irkutsk State University. Series Mathematics, 31 (2020),  18–33
30. On the construction of solutions to a problem with a free boundary for the non-linear heat equation
    
    J. Sib. Fed. Univ. Math. Phys., 13:6 (2020),  694–707
31. Numerical methods for the construction of packings of different balls into convex compact sets
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  173–187
32. On unequal balls packing problem in three-dimensional space
    
    UBS, 87 (2020),  47–66
33. An algorithm for packing balls of two types in a three-dimensional set with a non-euclidean metric
    
    Num. Meth. Prog., 21:2 (2020),  152–163
34. Exact solutions of the nonlinear heat conduction model
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020),  33–47
35. Construction and investigation of exact solutions with free boundary to a nonlinear heat equation with source
    
    Mat. Tr., 22:2 (2019),  54–75
36. Principles of creating technology for modeling and forecasting the development of regional fuel and energy complexes of Russia and Mongolia in respect the energy cooperation between the two countries
    
    Program Systems: Theory and Applications, 10:4 (2019),  3–24
37. On exact solutions to a heat wave propagation boundary-value problem for a nonlinear heat equation
    
    Sib. Èlektron. Mat. Izv., 16 (2019),  1057–1068
38. Construction of optimal covers by disks of different radii for convex planar sets
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  137–148
39. On multiple coverings and packings problems in a two-dimensional non-Euclidean space
    
    UBS, 81 (2019),  6–25
40. Solution of the problem of initiating the heat wave for a nonlinear heat conduction equation using the boundary element method
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019),  1047–1062
41. On a three-dimensional heat wave generated by boundary condition specified on a time-dependent manifold
    
    Bulletin of Irkutsk State University. Series Mathematics, 26 (2018),  16–34
42. On analytic solutions of the problem of heat wave front movement for the nonlinear heat equation with source
    
    Bulletin of Irkutsk State University. Series Mathematics, 24 (2018),  37–50
43. On the analytic solutions of a special boundary value problem for a nonlinear heat equation in polar coordinates
    
    Sib. Zh. Ind. Mat., 21:2 (2018),  56–65
44. Construction and study of exact solutions to a nonlinear heat equation
    
    Sibirsk. Mat. Zh., 59:3 (2018),  544–560
45. Iterative methods for the construction of planar packings of circles of different size
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  141–151
46. Algorithms for constructing optimal $n$-networks in metric spaces
    
    Avtomat. i Telemekh., 2017, no. 7,  141–155
47. Solution of a two-dimensionel problem on the motion of a heat wave front with the use of power series and the boundary element method
    
    Bulletin of Irkutsk State University. Series Mathematics, 18 (2016),  21–37
48. On some exact solutions of the nonlinear heat equation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  112–123
49. An algorithm of packing congruent circles in a multiply connected set with non-Euclidean metrics
    
    Num. Meth. Prog., 17:2 (2016),  177–188
50. On construction of heat wave for nonlinear heat equation in symmetrical case
    
    Bulletin of Irkutsk State University. Series Mathematics, 11 (2015),  39–53
51. Numerical and analytical study of processes described by the nonlinear heat equation
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:4 (2015),  42–48
52. Algorithms of optimal packing construction for planar compact sets
    
    Num. Meth. Prog., 16:2 (2015),  307–317
53. The intelligent management system of development of regional transport-logistic infrastructure
    
    Probl. Upr., 2014, no. 1,  27–35
54. On a boundary value problem for a nonlinear heat equation in the case of two space variables
    
    Sib. Zh. Ind. Mat., 17:1 (2014),  46–54
55. On a degenerate boundary value problem for the porous medium equation in spherical coordinates
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  119–129
56. On segmenting logistical zones for servicing continuously developed consumers
    
    Avtomat. i Telemekh., 2013, no. 6,  87–100
57. Investigation of the stability of simple quasi-Toeplitz tridiagonal systems with unlimited dimension
    
    Bulletin of Irkutsk State University. Series Mathematics, 6:3 (2013),  25–37
58. Existence and uniqueness of the solution of the boundary-value problem for a parabolic equation of unsteady filtration
    
    Prikl. Mekh. Tekh. Fiz., 54:2 (2013),  97–105
59. Mathematical model and program system for solving a problem of logistic objects placement
    
    UBS, 41 (2013),  270–284
60. On the solutions construction of the problem of convergence to a fixed point in time
    
    Bulletin of Irkutsk State University. Series Mathematics, 5:4 (2012),  95–115
61. Boundary element method and power series method for one-dimensional non-linear filtration problems
    
    Bulletin of Irkutsk State University. Series Mathematics, 5:2 (2012),  2–17
62. Application of characteristic series for constructing solutions of nonlinear parabolic equations and systems with degeneracy
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  114–122
63. VIGOLT system for solving transport logistics optimization problems
    
    Num. Meth. Prog., 13:3 (2012),  65–74
64. An approach to optimization in transport logistics
    
    Avtomat. i Telemekh., 2011, no. 7,  50–57
65. Analytical and numerical study of generalized Cauchy problems occurring in gas dynamics
    
    Prikl. Mekh. Tekh. Fiz., 52:3 (2011),  30–40
66. Application of the generalized method of characteristic series to the construction of a solution of an initial-boundary value problem for a system of quasi-linear equations
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:2 (2010),  91–108
67. The Generalized Cauchy Problem for a Quasilinear System with Two Singularities
    
    Sib. Zh. Ind. Mat., 12:4 (2009),  51–63
68. Построение решений обобщенной задачи Коши с данными на трех поверхностях в классе аналитических функций
    
    Sib. Zh. Ind. Mat., 11:1 (2008),  63–79
69. The generalized Cauchy problem with data on two surfaces for a quasilinear analytic system
    
    Sibirsk. Mat. Zh., 48:5 (2007),  1041–1055
70. On analytic solutions to the generalized Cauchy problem with data on three surfaces for a quasilinear system
    
    Sibirsk. Mat. Zh., 47:2 (2006),  301–315
71. Construction of piecewise-analytical gas flows joined through shock waves near the axis or center of symmetry
    
    Prikl. Mekh. Tekh. Fiz., 39:5 (1998),  25–38
72. A Cauchy problem with initial data on difference surfaces for a system with singularity
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 10,  13–23
73. Some gas flows in a neighborhood of the axis or center of symmetry with reflected shock waves
    
    Dokl. Akad. Nauk, 347:2 (1996),  195–198


74. On the 85th birthday anniversary of the RAS Corresponding Member, professor A. A. Tolstonogov
    
    Bulletin of Irkutsk State University. Series Mathematics, 51 (2025),  167–178
75. From Letter to the Editor
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:3 (2010),  285