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Potapov, Mikhail Mikhailovich
Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 27
Presentations: 3

Number of views:
This page:3058
Abstract pages:6326
Full texts:2052
References:1035
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https://www.mathnet.ru/eng/person53747
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/196403
https://elibrary.ru/author_items.asp?authorid=5064

Publications in Math-Net.Ru Citations
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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S17–S32
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  mathnet  elib; Comput. Math. Math. Phys., 62:1 (2022), 10–19  isi  scopus
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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S27–S41  isi  scopus 1
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  mathnet  mathscinet  elib
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  mathnet  elib; Comput. Math. Math. Phys., 58:12 (2018), 1919–1925  isi  scopus 8
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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:4 (2017), 607–625  isi  scopus 1
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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 22–30  isi  scopus 4
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  mathnet  elib; Comput. Math. Math. Phys., 56:2 (2016), 206–220  isi  scopus
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  mathnet  elib; Proc. Steklov Inst. Math., 291 (2015), 102–117  isi  elib  scopus 3
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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:6 (2014), 939–952  isi  elib  scopus 3
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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 145–155  isi  scopus 4
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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 277 (2012), 206–220  isi  elib  scopus 13
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  mathnet
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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 47:8 (2007), 1268–1284  elib  scopus 3
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  mathnet  mathscinet; Comput. Math. Math. Phys., 46:12 (2006), 2092–2109  scopus 6
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:6 (2005), 978–994
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:2 (2004), 237–246
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:9 (2001), 1251–1258 5
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:3 (1998), 373–383 7
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:8 (1992), 1075–1083  isi
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  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 211–214 3
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  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 134–142 6
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  mathnet; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 74–79 1
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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:6 (1988), 101–104
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  mathnet
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  mathnet  mathscinet  zmath 4
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 51–63

Presentations in Math-Net.Ru
1. On some positional boundary control problems for the wave equation
A. A. Dryazhenkov, M. M. Potapov
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
June 1, 2018 12:00   
2. Regularized extragradient method in a multicriteria control problem for the wave equation
F. P. Vasil'ev, M. M. Potapov, L. A. Artem'eva
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 16:05
3. Estimates of normal solutions for problems of control and observation and their application to computations
F. P. Vasil'ev, M. M. Potapov
Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin
September 25, 2013 13:10   

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