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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
F. V. Lubyshev, M. È. Fairuzov, “Approximation of optimal control problems for semilinear elliptic convection–diffusion equations with boundary observation of the conormal derivative and with controls in coefficients of the convective transport operator and in nonlinear term of the equation”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1163–1182 ; Comput. Math. Math. Phys., 64:7 (2024), 1443–1460 |
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2023 |
| 2. |
F. V. Lubyshev, A. M. Bolotnov, M. È. Fairuzov, “Mathematical models of joint calculation of electric and thermal fields in electrochemical systems (in electrolytes)”, Zhurnal SVMO, 25:3 (2023), 150–158 |
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2022 |
| 3. |
M. È. Fairuzov, F. V. Lubyshev, “On an iterative method for solving optimal control problems for an elliptic type system”, Zhurnal SVMO, 24:2 (2022), 162–174 |
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2021 |
| 4. |
M. È. Fairuzov, F. V. Lubyshev, “On a method for approximate solution of a mixed boundary value problem for an elliptic equation”, Zhurnal SVMO, 23:1 (2021), 58–71 |
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2019 |
| 5. |
F. V. Lubyshev, M. È. Fairuzov, “On an iterative process for the grid conjugation problem with iterations on the boundary of the solution discontinuity”, Zhurnal SVMO, 21:3 (2019), 329–342 |
| 6. |
F. V. Lubyshev, A. R. Manapova, “An approximation of problems of optimal control on the coefficients of elliptic convection-diffusion equations with an imperfect contact matching condition”, Zhurnal SVMO, 21:2 (2019), 187–214 |
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2018 |
| 7. |
F. V. Lubyshev, M. È. Fairuzov, “Approximation of a mixed boundary value problem”, Zhurnal SVMO, 20:4 (2018), 429–438 |
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2017 |
| 8. |
F. V. Lubyshev, A. R. Manapova, “On certain problems of optimal control and their approximations for some non-self-adjoint elliptic equations of the convection-diffusion type”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 143 (2017), 3–23 ; Journal of Mathematical Sciences, 245:1 (2020), 1–22 |
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| 9. |
F. V. Lubyshev, M. È. Fairuzov, A. R. Manapova, “Accuracy of difference schemes for nonlinear elliptic equations with non-restricted nonlinearity”, Zhurnal SVMO, 19:3 (2017), 41–52 |
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| 10. |
F. V. Lubyshev, M. E. Fairuzov, “Consistent convergence rate estimates in the grid $W_{2,0}^2(\omega)$ norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from $W_{2,0}^m(\Omega)$, $3\lt m\leqslant4$”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1444–1470 ; Comput. Math. Math. Phys., 57:9 (2017), 1427–1452 |
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2016 |
| 11. |
F. V. Lubyshev, A. R. Manapova, M. È. Fairuzov, “Approximation of optimal control problems for semi-linear elliptic convection-diffusion equations with discontinuous coefficients and states, with controls involved in the coefficients of diffusion and convective transfer”, Zhurnal SVMO, 18:1 (2016), 54–69 |
| 12. |
A. R. Manapova, F. V. Lubyshev, “On Frechèt differentiability of cost functional in optimal control of coefficients of elliptic equations”, Ufimsk. Mat. Zh., 8:1 (2016), 84–101 ; Ufa Math. J., 8:1 (2016), 79–96 |
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| 13. |
F. V. Lubyshev, M. E. Fairuzov, “Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1267–1293 ; Comput. Math. Math. Phys., 56:7 (2016), 1238–1263 |
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2015 |
| 14. |
F. V. Lubyshev, M. È. Fairuzov, “Grid approximation of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions, with offices in the coefficients of the highest derivatives”, Zhurnal SVMO, 17:1 (2015), 89–104 |
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2014 |
| 15. |
F. V. Lubyshev, M. È. Fairuzov, “Some iterative processes of solution of elliptic equations with discontinuous coefficients and solutions with a design estimates of the rate of convergence of iterations”, Zhurnal SVMO, 16:1 (2014), 89–107 |
| 16. |
A. R. Manapova, F. V. Lubyshev, “Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions”, Ufimsk. Mat. Zh., 6:3 (2014), 72–87 ; Ufa Math. J., 6:3 (2014), 69–84 |
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| 17. |
F. V. Lubyshev, A. R. Manapova, M. E. Fairuzov, “Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1767–1792 ; Comput. Math. Math. Phys., 54:11 (2014), 1700–1724 |
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2013 |
| 18. |
F. V. Lubyshev, A. R. Manapova, M. È. Fairuzov, “Numerical method of one optimal control problem solution for semilinear elliptic equation with discontinuous coefficients and solution”, Zhurnal SVMO, 15:1 (2013), 77–89 |
| 19. |
F. V. Lubyshev, A. R. Manapova, “Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013), 20–46 ; Comput. Math. Math. Phys., 53:1 (2013), 8–33 |
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2012 |
| 20. |
F. V. Lubyshev, M. È. Fairuzov, A. R. Manapova, “Approximations of optimal controlling
problems for semilinear elliptic equations with discontinuous coefficients and solutions”, Zhurnal SVMO, 14:1 (2012), 59–71 |
| 21. |
F. V. Lubyshev, “Finite difference approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012), 1378–1399 ; Comput. Math. Math. Phys., 52:8 (2012), 1094–1114 |
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2011 |
| 22. |
F. V. Lubyshev, M. È. Fairuzov, G. Y. Galeeva, “Iterative processes for states with discontinuous
coefficients and solutions in optimal control of quasilinear
equations”, Zhurnal SVMO, 13:2 (2011), 36–46 |
| 23. |
F. V. Lubyshev, A. R. Manapova, M. È. Fairuzov, “Difference approximations of optimal controlling
problems for quasi-linear elliptic equation with discontinuous
coefficients and solutions”, Zhurnal SVMO, 13:1 (2011), 32–44 |
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2010 |
| 24. |
F. V. Lubyshev, A. R. Manapova, “Approximation and regularization of optimal controlling
problem for not self-adjoint elliptic equation in arbitrary convex
domain with controls involved in the coefficient of non-linear
component and the second member of equation”, Zhurnal SVMO, 12:2 (2010), 67–76 |
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2009 |
| 25. |
F. V. Lubyshev, A. R. Manapova, “О разностной аппроксимации задачи оптимального управления для эллиптического уравнения в произвольной области”, Trudy SVMO, 11:1 (2009), 98–109 |
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2008 |
| 26. |
F. V. Lubyshev, A. R. Manapova, M. È. Fairuzov, “On some optimal control problems for inhomogeneous anisotropic medium and their difference approximations”, Trudy SVMO, 10:2 (2008), 155–165 |
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2007 |
| 27. |
F. V. Lubyshev, A. R. Manapova, “On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 376–396 ; Comput. Math. Math. Phys., 47:3 (2007), 361–380 |
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2001 |
| 28. |
O. R. Gareev, F. V. Lubyshev, “Approximation and regularization of optimal control problems for systems described by one-sided boundary value problems for elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001), 1675–1696 ; Comput. Math. Math. Phys., 41:11 (2001), 1594–1614 |
| 29. |
F. V. Lubyshev, M. È. Fairuzov, “Approximation and regularization of optimal control problems for quasilinear elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001), 1148–1164 ; Comput. Math. Math. Phys., 41:8 (2001), 1092–1107 |
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1995 |
| 30. |
F. V. Lubyshev, “Difference approximations and regularization of optimal control problems
for parabolic equations with controls in the coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 35:9 (1995), 1313–1333 ; Comput. Math. Math. Phys., 35:9 (1995), 1053–1069 |
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1993 |
| 31. |
F. V. Lubyshev, “Approximation and regularization of problems of the optimal control of
the coefficients of parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 33:8 (1993), 1166–1183 ; Comput. Math. Math. Phys., 33:8 (1993), 1027–1042 |
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1991 |
| 32. |
F. V. Lubyshev, “Approximation and regularization of optimal control problems for a non-selfadjoint elliptic equation with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991), 17–30 ; U.S.S.R. Comput. Math. Math. Phys., 31:1 (1991), 10–20 |
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1989 |
| 33. |
F. V. Lubyshev, “The accuracy of difference approximations and the regularization of optimal control problems for an elliptic equation with controls in the coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 29:9 (1989), 1431–1433 ; U.S.S.R. Comput. Math. Math. Phys., 29:5 (1989), 126–127 |
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1987 |
| 34. |
F. V. Lubyshev, “On the accuracy of difference approximations and the regularization of optimal control problems for solutions of elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987), 490–500 ; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 110–117 |
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1985 |
| 35. |
F. V. Lubyshev, “Convergence of difference approximations and regularization of optimal control problems for elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 25:7 (1985), 983–1000 ; U.S.S.R. Comput. Math. Math. Phys., 25:4 (1985), 13–25 |
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1977 |
| 36. |
F. V. Lubyshev, “Über Differenzen-Differentialapproximationen mehrdimensionaler Probleme der optimalen Steuerung mit räumlich verteilten Parametern”, Differ. Uravn., 13:4 (1977), 711–717 |
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1974 |
| 37. |
F. V. Lubyshev, “The convergence of the differential-difference method in the solution of certain boundary value problems for multidimensional nonstationary equations of mathematical physics, and its realization”, Differ. Uravn., 10:5 (1974), 926–932 |
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1972 |
| 38. |
V. T. Ivanov, G. P. Smirnov, F. V. Lubyshev, “The direct and inverse boundary value problems for the heat equation”, Differ. Uravn., 8:11 (1972), 2023–2028 |
| 39. |
F. V. Lubyshev, “The space-time version of the method of straight lines, and its realization”, Differ. Uravn., 8:10 (1972), 1868–1875 |
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