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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki

Sib. Zh. Vychisl. Mat., 2018, Volume 21, Number 1, Pages 55–63 (Mi sjvm668)

Recovery of the time-dependent diffusion coefficient by known non-local data
S. I. Kabanikhin, M. A. Shishlenin

This publication is cited in the following articles:
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  5. Sergey Kabanikhin, Maxim Shishlenin, Nikita Novikov, Nikita Prokhoshin, “Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations”, Mathematics, 11:21 (2023), 4458  crossref
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  11. R. Argun, A. Gorbachev, D. Lukyanenko, M. Shishlenin, “On some features of the numerical solving of coefficient inverse problems for an equation of the reaction-diffusion-advection-type with data on the position of a reaction front”, Mathematics, 9:22 (2021), 2894  crossref  isi  scopus
  12. R. Argun, A. Gorbachev, N. Levashova, D. Lukyanenko, “Inverse problem for an equation of the reaction-diffusion-advection type with data on the position of a reaction front: features of the solution in the case of a nonlinear integral equation in a reduced statement”, Mathematics, 9:18 (2021), 2342  crossref  isi  scopus
  13. D. V. Klyuchinskiy, N. S. Novikov, M. A. Shishlenin, “CPU-time and RAM memory optimization for solving dynamic inverse problems using gradient-based approach”, J. Comput. Phys., 439 (2021), 110374  crossref  mathscinet  isi  scopus
  14. N. Levashova, A. Gorbachev, R. Argun, D. Lukyanenko, “The problem of the non-uniqueness of the solution to the inverse problem of recovering the symmetric states of a bistable medium with data on the position of an autowave front”, Symmetry-Basel, 13:5 (2021), 860  crossref  isi  scopus
  15. D. V. Lukyanenko, A. A. Borzunov, M. A. Shishlenin, “Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front”, Commun. Nonlinear Sci. Numer. Simul., 99 (2021), 105824  crossref  mathscinet  isi  scopus
  16. D. Lukyanenko, T. Yeleskina, I. Prigorniy, T. Isaev, A. Borzunov, M. Shishlenin, “Inverse problem of recovering the initial condition for a nonlinear equation of the reaction-diffusion-advection type by data given on the position of a reaction front with a time delay”, Mathematics, 9:4 (2021), 342  crossref  isi  scopus
  17. T. K. Yuldashev, F. D. Rakhmonov, “On a Benney–Luke Type Differential Equation with Nonlinear Boundary Value Conditions”, Lobachevskii J Math, 42:15 (2021), 3761  crossref
  18. D. V. Lukyanenko, I. V. Prigorniy, M. A. Shishlenin, “Some features of solving an inverse backward problem for a generalized Burgers' equation”, J. Inverse Ill-Posed Probl., 28:5 (2020), 641–649  crossref  mathscinet  zmath  isi  scopus
  19. D. V. Lukyanenko, M. A. Shishlenin, V. T. Volkov, “Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation”, J. Inverse Ill-Posed Probl., 27:5 (2019), 745–758  crossref  mathscinet  zmath  isi  scopus
  20. E. Tabarintseva, “Approximate solving of an inverse problem for a parabolic equation with nonlocal data”, 2019 15Th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS 2019), IEEE, 2019, 173–178  isi
  21. 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”, Comput. Math. Math. Phys., 59:10 (2019), 1753–1758  mathnet  crossref  crossref  isi  elib
  22. Elena Tabarintseva, 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS), 2019, 173  crossref
  23. Galina G. Lazareva, Aleksey S. Arakcheev, Aleksey A. Vasilyev, Anastasia G. Maksimova, Smart Innovation, Systems and Technologies, 133, Smart Modeling for Engineering Systems, 2019, 41  crossref
  24. Kabanikhin I S., Shishlenin M.A., “Digital Field”, Georesury, 20:3, 1 (2018), 139–141  crossref  isi
  25. G. G. Lazareva, A. S. Arakcheev, I. V. Kandaurov, A. A. Kasatov, V. V. Kurkuchekov, A. G. Maksimova, V. A. Popov, A. V. Snytnikov, Yu. A. Trunev, A. A. Vasilyev, L. N. Vyacheslavov, AIP Conference Proceedings, 2025, 2018, 080005  crossref


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