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Kabanikhin Sergey Igorevich

Publications in Math-Net.Ru

  1. Simulation of COVID-19 propagation scenarios in the Republic of Kazakhstan based on regularization of agent model

    Diskretn. Anal. Issled. Oper., 30:1 (2023),  40–66
  2. The identifiability of mathematical models in epidemiology: Tuberculosis, HIV, COVID-19

    Mat. Biolog. Bioinform., 18:1 (2023),  177–214
  3. On mathematical models of COVID-19 pandemic

    Sib. Èlektron. Mat. Izv., 20:2 (2023),  1211–1268
  4. Modeling epidemics: neural network based on data and SIR-model

    Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023),  1733–1746
  5. Numerical algorithm for source determination in a diffusion–logistic model from integral data based on tensor optimization

    Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023),  1513–1523
  6. Inverse problems and artificial intelligence

    Russian Journal of Cybernetics, 2:3 (2021),  33–43
  7. Sensitivity analysis and practical identifiability of some mathematical models in biology

    Sib. Zh. Ind. Mat., 23:1 (2020),  107–125
  8. Mathematical modeling and forecasting of COVID-19 in Moscow and Novosibirsk region

    Sib. Zh. Vychisl. Mat., 23:4 (2020),  395–414
  9. Mathematical modeling of the Wuhan COVID-2019 epidemic and inverse problems

    Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1950–1961
  10. An algorithm for recovering the characteristics of the initial state of supernova

    Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1035–1044
  11. Inverse problems of natural science

    Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  935–938
  12. Optimization methods for solving inverse immunology and epidemiology problems

    Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  590–600
  13. Algorithm for determining the volatility function in the Black–Scholes model

    Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019),  1815–1820
  14. Recovery of the time-dependent diffusion coefficient by known non-local data

    Sib. Zh. Vychisl. Mat., 21:1 (2018),  55–63
  15. An algorithm for source reconstruction in nonlinear shallow-water equations

    Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  138–147
  16. Inverse problems of immunology and epidemiology

    Eurasian Journal of Mathematical and Computer Applications, 5:2 (2017),  14–35
  17. A numerical algorithm for computing tsunami wave amplitude

    Sib. Zh. Vychisl. Mat., 19:2 (2016),  153–165
  18. Two-dimensional analogs of the equations of Gelfand, Levitan, Krein, and Marchenko

    Eurasian Journal of Mathematical and Computer Applications, 3:2 (2015),  70–99
  19. Comparison of gradient and simplex methods of the numerical solution of the inverse problem for the simplest model of infectious disease

    Yakutian Mathematical Journal, 22:2 (2015),  72–82
  20. Построение фундаментального решения системы уравнений теории упругости

    Sib. Èlektron. Mat. Izv., 11 (2014),  103–114
  21. The problem of electromagnetic field continuation in the direction to inhomogeneities

    Sib. Èlektron. Mat. Izv., 11 (2014),  85–102
  22. 3D modeling of integrated natural and man-made hazards and source determination problem

    Sib. Èlektron. Mat. Izv., 11 (2014),  76–84
  23. Об определении параметров моделей, описываемых системами нелинейных дифференциальных уравнений

    Sib. Èlektron. Mat. Izv., 11 (2014),  62–76
  24. Численное решение обратной задачи фармакокинетики для трехкамерной фармакокинетической модели с внутрисосудистым способом введения препарата

    Sib. Èlektron. Mat. Izv., 11 (2014),  51–61
  25. Универсальный подход к решению обратной задачи фармакокинетики в случае произвольного количества камер

    Sib. Èlektron. Mat. Izv., 11 (2014),  41–49
  26. Numerical solution of initial-boundary value problem for the Helmholtz equation

    Sib. Èlektron. Mat. Izv., 11 (2014),  4–21
  27. Proceedings of the V International scientific school-conference for young scientists "Theory and numerical methods for solving inverse and ill-posed problem"

    Sib. Èlektron. Mat. Izv., 11 (2014),  1–171
  28. Numerical solution eikonal equation

    Sib. Èlektron. Mat. Izv., 10 (2013),  28–34
  29. A numerical method for solving inverse thermoacoustic problem

    Sib. Zh. Vychisl. Mat., 16:1 (2013),  39–44
  30. A numerical method for solving the Dirichlet problem for the wave equation

    Sib. Zh. Ind. Mat., 15:4 (2012),  90–101
  31. Singular value decomposition in the source problem

    Sib. Zh. Vychisl. Mat., 15:2 (2012),  205–211
  32. On the use of a priori information in coefficient inverse problems for hyperbolic equations

    Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  147–164
  33. The inverse problem of determining stream watering and discharge in a vertical flowing well

    Sib. Zh. Ind. Mat., 14:3 (2011),  31–36
  34. A comparative analysis of two methods for calculating electromagnetic fields in the near-well space of oil and gas collectors

    Sib. Zh. Ind. Mat., 14:2 (2011),  132–138
  35. Finite element method for Helmholtz equation

    Sib. Èlektron. Mat. Izv., 7 (2010),  362–379
  36. Investigation of mathematical model of electromagnetic probe in axially symmetrical borehole

    Sib. Èlektron. Mat. Izv., 7 (2010),  307–321
  37. Direct methods for solving inverse acoustic problems

    Sib. Èlektron. Mat. Izv., 7 (2010),  199–206
  38. Proceedings of the first international scientific school-conference for young scientists “Theory and numerical methods for solving inverse and ill-posed problem”, Part I

    Sib. Èlektron. Mat. Izv., 7 (2010),  1–394
  39. Direct and iteration methods for solving inverse and ill-posed problems

    Sib. Èlektron. Mat. Izv., 5 (2008),  595–608
  40. The gradient-based method for solving the inverse coefficient heat-conduction problem

    Sib. Zh. Vychisl. Mat., 11:1 (2008),  41–51
  41. Justification of the steepest descent method for the integral statement of an inverse problem for a hyperbolic equation

    Sibirsk. Mat. Zh., 42:3 (2001),  567–584
  42. A discrete analogue of the Gel'fand–Levitan method in a two-dimensional inverse problem for a hyperbolic equation

    Sibirsk. Mat. Zh., 40:2 (1999),  307–324
  43. Short-time dielectric well-logging

    Dokl. Akad. Nauk, 337:3 (1994),  386–388
  44. An inverse problem for an integro-differential equation

    Sibirsk. Mat. Zh., 33:3 (1992),  58–68
  45. Solution of one-dimensional inverse problems of electrodynamics by the Newton–Kantorovich method

    Zh. Vychisl. Mat. Mat. Fiz., 32:12 (1992),  1900–1915
  46. Investigation of a differential-difference analogue of a three-dimensional problem of integral geometry

    Dokl. Akad. Nauk SSSR, 311:4 (1990),  794–797
  47. Linear regularization of multidimensional inverse problems for hyperbolic equations

    Dokl. Akad. Nauk SSSR, 309:4 (1989),  791–795
  48. Regularization of Volterra operator equations of the first kind with a boundedly Lipschitz-continuous kernel

    Dokl. Akad. Nauk SSSR, 306:4 (1989),  785–788
  49. Regularization of multidimensional inverse problems for hyperbolic equations on the basis of a projection method

    Dokl. Akad. Nauk SSSR, 292:3 (1987),  534–537
  50. Stability of a finite-difference analogue of a two-dimensional problem of integral geometry

    Dokl. Akad. Nauk SSSR, 292:1 (1987),  25–29
  51. The solvability of inverse problems for differential equations

    Dokl. Akad. Nauk SSSR, 277:4 (1984),  788–791
  52. An inverse problem for $\mathscr{P}_n$-approximation of the kinetic transport equation

    Dokl. Akad. Nauk SSSR, 276:2 (1984),  296–299
  53. Inverse problem of the theory of wave propagation in a semi-infinite nonregular waveguide

    Differ. Uravn., 19:4 (1983),  603–607
  54. On the theory of inverse problems of electrodynamics

    Dokl. Akad. Nauk SSSR, 266:5 (1982),  1070–1073
  55. Application of energy inequalities to an inverse problem for a hyperbolic equation

    Differ. Uravn., 15:1 (1979),  61–67
  56. A finite-difference method of finding the coefficients of a hyperbolic equation

    Zh. Vychisl. Mat. Mat. Fiz., 19:2 (1979),  417–425

  57. Boris Nikolaevich Chetverushkin (on his eightieth birthday)

    Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187
  58. Sergey Grigorievich Pyatkov (on 65th birthday)

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021),  131–133
  59. In memory of Aleksandr Sergeevich Kholodov

    Mat. Model., 30:1 (2018),  135–136
  60. Proceedings of the IV International scientific school-conference for young scientists “Theory and numerical methods for solving inverse and ill-posed problem”. Part I

    Sib. Èlektron. Mat. Izv., 10 (2013),  1–86
  61. Alexander Kozhanov (to the $60^{th}$ anniversary)

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14,  187–189
  62. Inverse and Ill-Posed problems

    Sib. Èlektron. Mat. Izv., 7 (2010),  380–394
  63. Mikhail Mikhaĭlovich Lavrent'ev

    Sib. Zh. Ind. Mat., 13:3 (2010),  3–5
  64. V. G. Romanov: On the occasion of his 70th birthday

    Sib. Zh. Ind. Mat., 11:4 (2008),  3–4
  65. On the anniversary of Romanov Vladimir Gavrilovich

    Sib. Zh. Vychisl. Mat., 11:4 (2008),  359–360
  66. Academician M. M. Lavrent'ev (on the occasion of his 75th birthday)

    Sib. Zh. Ind. Mat., 10:3 (2007),  3–12
  67. Mikhail Mikhailovich Lavrent'ev (on the occasion of his seventieth birthday)

    Sib. Zh. Ind. Mat., 5:2 (2002),  3–6

© Steklov Math. Inst. of RAS, 2025