O. I. Krivorotko, S. I. Kabanikhin, M. A. Bektemesov, M. I. Sosnovskaya, A. V. Neverov, “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.
O. I. Krivorot'ko, S. I. Kabanikhin, V. S. Petrakova, “The identifiability of mathematical models in epidemiology: Tuberculosis, HIV, COVID-19”, Mat. Biolog. Bioinform., 18:1 (2023), 177–214
3.
O. I. Krivorotko, S. I. Kabanikhin, “On mathematical models of COVID-19 pandemic”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1211–1268
4.
O. I. Krivorot'ko, N. Yu. Zyatkov, S. I. Kabanikhin, “Modeling epidemics: neural network based on data and SIR-model”, Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023), 1733–1746; Comput. Math. Math. Phys., 63:10 (2023), 1929–1941
T. A. Zvonareva, S. I. Kabanikhin, O. I. Krivorot'ko, “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; Comput. Math. Math. Phys., 63:9 (2023), 1654–1663
S. I. Kabanikhin, “Inverse problems and artificial intelligence”, Russian Journal of Cybernetics, 2:3 (2021), 33–43
2020
7.
O. I. Krivorotko, D. V. Andornaya, S. I. Kabanikhin, “Sensitivity analysis and practical identifiability of some mathematical models in biology”, Sib. Zh. Ind. Mat., 23:1 (2020), 107–125; J. Appl. Industr. Math., 14:1 (2020), 115–130
O. I. Krivorotko, S. I. Kabanikhin, N. Yu. Zyatkov, A. Yu. Prikhodko, N. M. Prokhoshin, M. A. Shishlenin, “Mathematical modeling and forecasting of COVID-19 in
Moscow and Novosibirsk region”, Sib. Zh. Vychisl. Mat., 23:4 (2020), 395–414; Num. Anal. Appl., 13:4 (2020), 332–348
S. I. Kabanikhin, O. I. Krivorot'ko, “Mathematical modeling of the Wuhan COVID-2019 epidemic and inverse problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020), 1950–1961; Comput. Math. Math. Phys., 60:11 (2020), 1889–1899
S. I. Kabanikhin, I. M. Kulikov, M. A. Shishlenin, “An algorithm for recovering the characteristics of the initial state of supernova”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 1035–1044; Comput. Math. Math. Phys., 60:6 (2020), 1008–1016
S. I. Kabanikhin, O. I. Krivorot'ko, “Optimization methods for solving inverse immunology and epidemiology problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 590–600; Comput. Math. Math. Phys., 60:4 (2020), 580–589
V. M. Isakov, S. I. Kabanikhin, A. A. Shananin, M. A. Shishlenin, S. Zhang, “Algorithm for determining the volatility function in the Black–Scholes model”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1815–1820; Comput. Math. Math. Phys., 59:10 (2019), 1753–1758
S. I. Kabanikhin, M. A. Shishlenin, “Recovery of the time-dependent diffusion coefficient by known non-local data”, Sib. Zh. Vychisl. Mat., 21:1 (2018), 55–63; Num. Anal. Appl., 11:1 (2018), 38–44
S. I. Kabanikhin, O. I. Krivorotko, “An algorithm for source reconstruction in nonlinear shallow-water equations”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 138–147; Comput. Math. Math. Phys., 58:8 (2018), 1334–1343
S. I. Kabanikhin, O. I. Krivorot'ko, V. A. Latyshenko, D. V. Yermolenko, V. N. Kashtanova, “Inverse problems of immunology and epidemiology”, Eurasian Journal of Mathematical and Computer Applications, 5:2 (2017), 14–35
2016
17.
S. I. Kabanikhin, O. I. Krivorotko, “A numerical algorithm for computing tsunami wave amplitude”, Sib. Zh. Vychisl. Mat., 19:2 (2016), 153–165; Num. Anal. Appl., 9:2 (2016), 118–128
S. I. Kabanikhin, M. A. Shishlenin, “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.
S. I. Kabanikhin, O. I. Krivorot'ko, D. V. Yermolenko, D. A. Voronov, “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
2014
20.
S. I. Kabanikhin, O. I. Krivorotko, K. S. Boboev, N. Yu. Zyatkov, “Построение фундаментального решения системы уравнений теории упругости”, Sib. Èlektron. Mat. Izv., 11 (2014), 103–114
21.
S. I. Kabanikhin, D. B. Nurseitov, B. B. Sholpanbaev, “The problem of electromagnetic field continuation in the direction to inhomogeneities”, Sib. Èlektron. Mat. Izv., 11 (2014), 85–102
S. I. Kabanikhin, I. V. Marinin, O. I. Krivorotko, “3D modeling of integrated natural and man-made hazards and source determination problem”, Sib. Èlektron. Mat. Izv., 11 (2014), 76–84
23.
A. I. Ilyin, S. I. Kabanikhin, O. I. Krivorotko, “Об определении параметров моделей, описываемых системами нелинейных дифференциальных уравнений”, Sib. Èlektron. Mat. Izv., 11 (2014), 62–76
A. I. Ilyin, S. I. Kabanikhin, D. A. Voronov, “Численное решение обратной задачи фармакокинетики для трехкамерной фармакокинетической модели с внутрисосудистым способом введения препарата”, Sib. Èlektron. Mat. Izv., 11 (2014), 51–61
A. I. Ilyin, S. I. Kabanikhin, D. A. Voronov, “Универсальный подход к решению обратной задачи фармакокинетики в случае произвольного количества камер”, Sib. Èlektron. Mat. Izv., 11 (2014), 41–49
M. A. Bektemesov, S. I. Kabanikhin, D. B. Nurseitov, S. Y. Kasenov, “Numerical solution of initial-boundary value problem for the Helmholtz equation”, Sib. Èlektron. Mat. Izv., 11 (2014), 4–21
27.
S. I. Kabanikhin, M. A. Shishlenin, “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
2013
28.
S. I. Kabanikhin, O. I. Krivorotko, “Numerical solution eikonal equation”, Sib. Èlektron. Mat. Izv., 10 (2013), 28–34
S. I. Kabanikhin, O. I. Krivorotko, M. A. Shishlenin, “A numerical method for solving inverse thermoacoustic problem”, Sib. Zh. Vychisl. Mat., 16:1 (2013), 39–44; Num. Anal. Appl., 6:1 (2013), 34–39
S. I. Kabanikhin, O. I. Krivorot'ko, “A numerical method for solving the Dirichlet problem for the wave equation”, Sib. Zh. Ind. Mat., 15:4 (2012), 90–101; J. Appl. Industr. Math., 7:2 (2013), 187–198
S. I. Kabanikhin, O. I. Krivorotko, “Singular value decomposition in the source problem”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 205–211; Num. Anal. Appl., 5:2 (2012), 168–174
S. I. Kabanikhin, M. A. Shishlenin, “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
S. I. Kabanikhin, A. N. Cheremisin, M. A. Shishlenin, “The inverse problem of determining stream watering and discharge in a vertical flowing well”, Sib. Zh. Ind. Mat., 14:3 (2011), 31–36
M. I. Epov, S. I. Kabanikhin, V. L. Mironov, K. V. Muzalevskii, M. A. Shishlenin, “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
V. G. Romanov, S. I. Kabanikhin, M. A. Shishlenin, “Investigation of mathematical model of electromagnetic probe in axially symmetrical borehole”, Sib. Èlektron. Mat. Izv., 7 (2010), 307–321
S. I. Kabanikhin, M. A. Shishlenin, “Direct methods for solving inverse acoustic problems”, Sib. Èlektron. Mat. Izv., 7 (2010), 199–206
38.
S. I. Kabanikhin, M. A. Shishlenin, “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
2008
39.
S. I. Kabanikhin, M. A. Shishlenin, “Direct and iteration methods for solving inverse and ill-posed problems”, Sib. Èlektron. Mat. Izv., 5 (2008), 595–608
S. I. Kabanikhin, A. Kh. Khasanov, A. V. Penenko, “The gradient-based method for solving the inverse coefficient heat-conduction problem”, Sib. Zh. Vychisl. Mat., 11:1 (2008), 41–51; Num. Anal. Appl., 1:1 (2008), 34–45
S. I. Kabanikhin, K. T. Iskakov, “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; Siberian Math. J., 42:3 (2001), 478–494
S. I. Kabanikhin, G. B. Bakanov, “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; Siberian Math. J., 40:2 (1999), 262–280
V. V. Verzhbitskii, S. I. Kabanikhin, S. V. Martakov, “Short-time dielectric well-logging”, Dokl. Akad. Nauk, 337:3 (1994), 386–388
1992
44.
M. Grasselli, S. I. Kabanikhin, A. Lorentsi, “An inverse problem for an integro-differential equation”, Sibirsk. Mat. Zh., 33:3 (1992), 58–68; Siberian Math. J., 33:3 (1992), 415–426
S. Sh. Bimuratov, S. I. Kabanikhin, “Solution of one-dimensional inverse problems of electrodynamics by the Newton–Kantorovich method”, Zh. Vychisl. Mat. Mat. Fiz., 32:12 (1992), 1900–1915; Comput. Math. Math. Phys., 32:12 (1992), 1729–1743
V. G. Romanov, S. I. Kabanikhin, G. B. Bakanov, “Investigation of a differential-difference analogue of a
three-dimensional problem of integral geometry”, Dokl. Akad. Nauk SSSR, 311:4 (1990), 794–797; Dokl. Math., 41:2 (1990), 306–309
1989
47.
S. I. Kabanikhin, “Linear regularization of multidimensional inverse problems for
hyperbolic equations”, Dokl. Akad. Nauk SSSR, 309:4 (1989), 791–795; Dokl. Math., 40:3 (1990), 579–583
S. I. Kabanikhin, “Regularization of Volterra operator equations of the first kind with a boundedly Lipschitz-continuous kernel”, Dokl. Akad. Nauk SSSR, 306:4 (1989), 785–788; Dokl. Math., 39:3 (1989), 549–552
S. I. Kabanikhin, “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.
S. I. Kabanikhin, G. B. Bakanov, “Stability of a finite-difference analogue of a two-dimensional
problem of integral geometry”, Dokl. Akad. Nauk SSSR, 292:1 (1987), 25–29
1984
51.
S. I. Kabanikhin, “The solvability of inverse problems for differential equations”, Dokl. Akad. Nauk SSSR, 277:4 (1984), 788–791
52.
V. G. Romanov, S. I. Kabanikhin, K. Boboev, “An inverse problem for $\mathscr{P}_n$-approximation of the kinetic transport equation”, Dokl. Akad. Nauk SSSR, 276:2 (1984), 296–299
1983
53.
A. S. Blagoveshchenskii, S. I. Kabanikhin, “Inverse problem of the theory of wave propagation in a semi-infinite nonregular waveguide”, Differ. Uravn., 19:4 (1983), 603–607
1982
54.
V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva, “On the theory of inverse problems of electrodynamics”, Dokl. Akad. Nauk SSSR, 266:5 (1982), 1070–1073
S. I. Kabanikhin, “Application of energy inequalities to an inverse problem for a hyperbolic equation”, Differ. Uravn., 15:1 (1979), 61–67
56.
S. I. Kabanikhin, “A finite-difference method of finding the coefficients of a hyperbolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 19:2 (1979), 417–425; U.S.S.R. Comput. Math. Math. Phys., 19:2 (1979), 150–159
A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Iakobovski, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024), 181–187
2021
58.
N. L. Abasheieva, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, A. I. Kozhanov, G. A. Sviridyuk, S. I. Kabanikhin, E. I. Safonov, A. P. Soldatov, V. V. Slavskii, “Sergey Grigorievich Pyatkov
(on 65th birthday)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021), 131–133
2018
59.
B. N. Chetverushkin, E. E. Tyrtyshnikov, N. N. Kudryavtsev, V. P. Dymnikov, Yu. I. Zhuravlev, E. E. Son, K. V. Rudakov, Yu. G. Evtushenko, A. B. Zhizhchenko, Yu. V. Gulyaev, A. S. Bugaev, A. N. Konovalov, V. P. Maslov, V. M. Berdyshev, A. L. Semenov, E. I. Moiseev, I. B. Petrov, Yu. A. Flerov, I. G. Pospelov, S. I. Kabanikhin, M. V. Iakobovski, V. F. Tishkin, Yu. V. Vassilevski, A. A. Shananin, V. A. Gushchin, I. S. Nikitin, A. I. Lobanov, V. V. Demchenko, E. L. Stupitsky, V. L. Yakushev, A. V. Babakov, Yu. D. Shevelev, S. A. Ishanov, V. S. Ryaben'kii, “In memory of Aleksandr Sergeevich Kholodov”, Matem. Mod., 30:1 (2018), 135–136
2013
60.
S. I. Kabanikhin, M. A. Shishlenin, “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
2012
61.
I. E. Egorov, S. I. Kabanikhin, T. Sh. Kal'menov, A. V. Keller, Yu. M. Kovalev, E. V. Radkevich, K. B. Sabitov, A. P. Soldatov, “Alexander Kozhanov (to the $60^{th}$ anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14, 187–189
Yu. E. Anikonov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhaĭlovich Lavrent'ev”, Sib. Zh. Ind. Mat., 13:3 (2010), 3–5
2008
64.
M. M. Lavrent'ev, S. I. Kabanikhin, “V. G. Romanov: On the occasion of his 70th birthday”, Sib. Zh. Ind. Mat., 11:4 (2008), 3–4
65.
M. M. Lavrent'ev, S. I. Kabanikhin, “On the anniversary of Romanov Vladimir Gavrilovich”, Sib. Zh. Vychisl. Mat., 11:4 (2008), 359–360
2007
66.
V. V. Vasin, S. I. Kabanikhin, V. G. Romanov, “Academician M. M. Lavrent'ev (on the occasion of his 75th birthday)”, Sib. Zh. Ind. Mat., 10:3 (2007), 3–12
Yu. E. Anikonov, A. L. Bukhgeim, V. P. Golubyatnikov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on the occasion of his seventieth birthday)”, Sib. Zh. Ind. Mat., 5:2 (2002), 3–6
Inverse problems of acoustical tomography M. A. Shishlenin, S. I. Kabanikhin, N. S. Novikov The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023) December 4, 2023 17:40
Прямые методы решения обратных задач S. I. Kabanikhin The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling" June 29, 2022 10:00
Открытие конференции D. V. Treschev, Ya. Efendiev, A. I. Avetisyan, N. I. Sidnyaev, S. I. Kabanikhin IV International conference “Supercomputer Technologies of Mathematical Modelling” (SCTeMM'19) June 19, 2019 08:45