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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
L. A. Artem'eva, A. A. Dryazhenkov, M. M. Potapov, “A stable solution of a nonuniformly perturbed quadratic minimization problem by the extragradient method with step size separated from zero”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024), 7–22 ; Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S17–S32 |
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2022 |
2. |
L. A. Artem'eva, A. A. Dryazhenkov, M. M. Potapov, “Stable solution of a quadratic minimization problem with a nonuniformly perturbed operator by applying a regularized gradient method”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 12–22 ; Comput. Math. Math. Phys., 62:1 (2022), 10–19 |
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2021 |
3. |
L. A. Artem'eva, A. A. Dryazhenkov, M. M. Potapov, “On a Quadratic Minimization Problem with Nonuniform Perturbations in the Criteria and Constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021), 19–34 ; Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S27–S41 |
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2018 |
4. |
Andrey A. Dryazhenkov, Mikhail M. Potapov, “A stable method for linear equation in Banach spaces with smooth norms”, Ural Math. J., 4:2 (2018), 56–68 |
5. |
F. P. Vasil'ev, M. M. Potapov, L. A. Artem'eva, “Extragradient method for correction of inconsistent linear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 1992–1998 ; Comput. Math. Math. Phys., 58:12 (2018), 1919–1925 |
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2017 |
6. |
D. A. Ivanov, M. M. Potapov, “Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 605–624 ; Comput. Math. Math. Phys., 57:4 (2017), 607–625 |
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2016 |
7. |
A. A. Dryazhenkov, M. M. Potapov, “Numerical solution of the positional boundary control problem for the wave equation with unknown initial data”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016), 138–146 ; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 22–30 |
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8. |
A. A. Dryazhenkov, M. M. Potapov, “Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 208–223 ; Comput. Math. Math. Phys., 56:2 (2016), 206–220 |
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2015 |
9. |
D. A. Ivanov, M. M. Potapov, “Approximate solution to a time optimal boundary control problem for the wave equation”, Trudy Mat. Inst. Steklova, 291 (2015), 112–127 ; Proc. Steklov Inst. Math., 291 (2015), 102–117 |
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2014 |
10. |
A. A. Dryazhenkov, M. M. Potapov, “Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 928–941 ; Comput. Math. Math. Phys., 54:6 (2014), 939–952 |
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2013 |
11. |
M. M. Potapov, D. A. Ivanov, “Problems of two-sided boundary control for the wave equation on subcritical intervals in classes of strong generalized solutions”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013), 192–202 ; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 145–155 |
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2012 |
12. |
M. M. Potapov, A. A. Dryazhenkov, “Threshold optimization in observability inequality for the wave equation with homogeneous Robin-type boundary condition”, Trudy Mat. Inst. Steklova, 277 (2012), 215–229 ; Proc. Steklov Inst. Math., 277 (2012), 206–220 |
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2007 |
13. |
M. M. Potapov, “A more accurate threshold in bilateral control and observation problems for the wave equation”, Num. Meth. Prog., 8:2 (2007), 147–153 |
14. |
M. M. Potapov, “Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1323–1339 ; Comput. Math. Math. Phys., 47:8 (2007), 1268–1284 |
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2006 |
15. |
M. M. Potapov, “Approximate solutions to Dirichlet control problems for the wave equation in Sobolev classes and dual observation problems”, Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006), 2191–2208 ; Comput. Math. Math. Phys., 46:12 (2006), 2092–2109 |
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2005 |
16. |
M. M. Potapov, “Approximate solution to boundary control and observation problems for the equation describing transverse vibrations of a bar”, Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005), 1015–1032 ; Comput. Math. Math. Phys., 45:6 (2005), 978–994 |
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2004 |
17. |
M. M. Potapov, “On an estimated accuracy of regularization methods in quadratic minimization problems on a half-space”, Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004), 255–264 ; Comput. Math. Math. Phys., 44:2 (2004), 237–246 |
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2001 |
18. |
I. Krnić, M. M. Potapov, “Projective sourcewise representability of normal solutions to linear equations on convex sets”, Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001), 1315–1323 ; Comput. Math. Math. Phys., 41:9 (2001), 1251–1258 |
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1998 |
19. |
M. M. Potapov, “Strong convergence of difference approximations for problems of boundary control and observation for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998), 387–397 ; Comput. Math. Math. Phys., 38:3 (1998), 373–383 |
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1992 |
20. |
O. Obradovich, M. M. Potapov, A. V. Razgulin, “A regularized gradient-projection method in a parabolic optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 32:8 (1992), 1197–1212 ; Comput. Math. Math. Phys., 32:8 (1992), 1075–1083 |
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1990 |
21. |
M. M. Potapov, “A stable method for solving an operator equation in the presence
of a constraint”, Dokl. Akad. Nauk SSSR, 313:6 (1990), 1352–1355 ; Dokl. Math., 42:1 (1991), 211–214 |
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22. |
M. M. Potapov, A. V. Razgulin, “Difference methods in problems of the optimal control of the stationary self-action of light beams”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990), 1157–1169 ; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 134–142 |
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23. |
M. A. Vorontsov, N. I. Zheleznykh, M. M. Potapov, “A gradient procedure for intra-resonator control of light beams”, Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990), 449–456 ; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 74–79 |
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1988 |
24. |
M. M. Potapov, S. A. Nesterov, “Approximation and regularization of problems of parametric minimization”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 6, 73–75 ; Soviet Math. (Iz. VUZ), 32:6 (1988), 101–104 |
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1987 |
25. |
M. M. Potapov, A. V. Razgulin, “On a nonlinear hyperbolic optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987), 793–794 |
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1983 |
26. |
M. M. Potapov, “A generalized solution of a mixed problem for a first-order semilinear hyperbolic system”, Differ. Uravn., 19:10 (1983), 1826–1828 |
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1979 |
27. |
M. M. Potapov, “Approximation with respect to a functional of maximin problems with connected variables”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 610–621 ; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 51–63 |
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