Potapov Mikhail Mikhailovich

Publications in Math-Net.Ru

1. 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
2. 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
3. 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
4. A stable method for linear equation in Banach spaces with smooth norms
   
   Ural Math. J., 4:2 (2018),  56–68
5. Extragradient method for correction of inconsistent linear programming problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  1992–1998
6. Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017),  605–624
7. 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
8. 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
9. Approximate solution to a time optimal boundary control problem for the wave equation
   
   Trudy Mat. Inst. Steklova, 291 (2015),  112–127
10. Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  928–941
11. 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
12. Threshold optimization in observability inequality for the wave equation with homogeneous Robin-type boundary condition
    
    Trudy Mat. Inst. Steklova, 277 (2012),  215–229
13. A more accurate threshold in bilateral control and observation problems for the wave equation
    
    Num. Meth. Prog., 8:2 (2007),  147–153
14. 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
15. 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
16. 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
17. 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
18. Projective sourcewise representability of normal solutions to linear equations on convex sets
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1315–1323
19. 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
20. A regularized gradient-projection method in a parabolic optimal control problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 32:8 (1992),  1197–1212
21. A stable method for solving an operator equation in the presence of a constraint
    
    Dokl. Akad. Nauk SSSR, 313:6 (1990),  1352–1355
22. 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
23. A gradient procedure for intra-resonator control of light beams
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990),  449–456
24. Approximation and regularization of problems of parametric minimization
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 6,  73–75
25. On a nonlinear hyperbolic optimal control problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987),  793–794
26. A generalized solution of a mixed problem for a first-order semilinear hyperbolic system
    
    Differ. Uravn., 19:10 (1983),  1826–1828
27. Approximation with respect to a functional of maximin problems with connected variables
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  610–621


28. In memory of Prof. Fyodor Pavlovich Vasiliev (1935–2023)
    
    Zh. Vychisl. Mat. Mat. Fiz., 64:4 (2024),  565–570