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Manakova, Natalia Aleksandrovna
Statistics Math-Net.Ru
Total publications: 53
Scientific articles: 41

Number of views:
This page:2414
Abstract pages:11314
Full texts:3973
References:1533
Associate professor
Doctor of physico-mathematical sciences (2005)
Speciality: 05.13.18 (Mathematical modelling, calculating methods, and the program systems)
Birth date: 16.04.1979
Keywords: optimal control problem, Sobolev type equations. Optimal control, sobolev type equations
UDC: 517.9, 517.946, 517.977.57
MSC: 35Q99, 49J20, 47N20, 46E35

Subject:

Optimal control to solutions of the Showalter–Sidorov problem for Sobolev type equations.
   
Main publications:
  1. Sviridyuk G.A., Manakova N.A., “Regular perturbations of a class of Sobolev type linear equations”, Differential equations, 38:3 (2003), 447–450
  2. Sviridyuk G.A., Manakova N.A., “An optimal control problem for the Hoff equation”, Journal of applied and industrial mathematics, 1:2 (2007), 247–253
  3. Manakova N. A., “Optimal control problem for the Oskolkov nonlinear filtration equation”, Differential equations, 43:9 (2007), 1213–1221

https://www.mathnet.ru/eng/person29134
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/721626

Publications in Math-Net.Ru Citations
2024
1. N. G. Nikolaeva, O. V. Gavrilova, N. A. Manakova, “Investigation of the uniqueness solution of the Showalter–Sidorov problem for the mathematical Hoff model. Phase space morphology”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 17:1 (2024),  49–63  mathnet
2023
2. N. G. Nikolaeva, O. V. Gavrilova, N. A. Manakova, “Numerical investigation of the non-uniqueness of solutions of the Showalter–Sidorov problem for the Hoff mathematical model on a rectangle”, J. Comp. Eng. Math., 10:2 (2023),  26–41  mathnet
3. K. V. Perevozchikova, N. A. Manakova, “Investigation of boundary control and final observation in mathematical model of motion speed potentials distribution of filtered liquid free surface”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:2 (2023),  111–116  mathnet
2022
4. K. V. Perevozchikova, N. A. Manakova, O. V. Gavrilova, I. M. Manakov, “Numerical algorithm for finding a solution to a nonlinear filtration mathematical model with a random Showalter–Sidorov initial condition”, J. Comp. Eng. Math., 9:2 (2022),  39–51  mathnet  mathscinet 1
5. K. V. Perevozchikova, N. A. Manakova, “Study of the objectives of boundary control and final observation for the mathematical model of non-linear filtration”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:4 (2022),  28–33  mathnet 1
6. E. V. Bychkov, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, N. A. Manakova, M. A. Sagadeeva, G. A. Sviridyuk, “Development of the theory of optimal dynamic measurement”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:3 (2022),  19–33  mathnet
7. N. A. Manakova, O. V. Gavrilova, K. V. Perevozhikova, “Semilinear models of sobolev type. Non-uniqueness of solution to the Showalter–Sidorov problem”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:1 (2022),  84–100  mathnet 5
2021
8. A. L. Shestakov, A. A. Zamyshlyaeva, N. A. Manakova, G. A. Sviridyuk, A. V. Keller, “Reconstruction of a dynamically distorted signal based on the theory of optimal dynamic measurements”, Avtomat. i Telemekh., 2021, no. 12,  125–137  mathnet; Autom. Remote Control, 82:12 (2021), 2143–2154  isi  scopus 7
9. A. L. Shestakov, S. A. Zagrebina, N. A. Manakova, M. A. Sagadeeva, G. A. Sviridyuk, “Numerical optimal measurement algorithm under distortions caused by inertia, resonances, and sensor degradation”, Avtomat. i Telemekh., 2021, no. 1,  55–67  mathnet  elib; Autom. Remote Control, 82:1 (2021), 41–50  isi  elib  scopus 11
10. K. V. Perevozhikova, N. A. Manakova, A. S. Kuptsova, “Investigation of various types of control problems for one nonlinear model of filtration”, J. Comp. Eng. Math., 8:4 (2021),  45–61  mathnet 1
11. K. V. Perevozhikova, N. A. Manakova, “Numerical simulation of start control and final observation in fluid filtration model”, J. Comp. Eng. Math., 8:1 (2021),  29–45  mathnet 3
12. K. V. Perevozhikova, N. A. Manakova, “Research of the optimal control problem for one mathematical model of the Sobolev type”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:4 (2021),  36–45  mathnet 1
2020
13. A. L. Shestakov, A. V. Keller, A. A. Zamyshlyaeva, N. A. Manakova, S. A. Zagrebina, G. A. Sviridyuk, “The optimal measurements theory as a new paradigm in the metrology”, J. Comp. Eng. Math., 7:1 (2020),  3–23  mathnet 28
14. J. Banasiak, N. A. Manakova, G. A. Sviridyuk, “Positive solutions to Sobolev type equations with relatively $p$-sectorial operators”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:2 (2020),  17–32  mathnet 6
15. A. A. Zamyshlyaeva, N. A. Manakova, O. N. Tsyplenkova, “Optimal control in linear Sobolev type mathematical models”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:1 (2020),  5–27  mathnet  elib 10
2019
16. N. A. Manakova, K. V. Vasiuchkova, “Research of one mathematical model of the distribution of potentials in a crystalline semiconductor”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:2 (2019),  150–157  mathnet  elib 5
2018
17. N. A. Manakova, O. V. Gavrilova, “About nonuniqueness of solutions of the Showalter–Sidorov problem for one mathematical model of nerve impulse spread in membrane”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018),  161–168  mathnet  elib 8
2017
18. N. A. Manakova, K. V. Vasiuchkova, “Numerical investigation for the start control and final observation problem in model of an I-beam deformation”, J. Comp. Eng. Math., 4:2 (2017),  26–40  mathnet  mathscinet  elib 8
19. K. V. Vasyuchkova, N. A. Manakova, G. A. Sviridyuk, “Some mathematical models with a relatively bounded operator and additive “white noise” in spaces of sequences”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017),  5–14  mathnet  isi  elib 7
2016
20. N. A. Manakova, “On modified method of multistep coordinate descent for optimal control problem for semilinear Sobolev-type model”, J. Comp. Eng. Math., 3:4 (2016),  59–72  mathnet  mathscinet  elib
21. G. A. Sviridyuk, N. A. Manakova, “The Barenblatt – Zheltov – Kochina model with additive white noise in quasi-Sobolev spaces”, J. Comp. Eng. Math., 3:1 (2016),  61–67  mathnet  mathscinet  zmath  elib 10
22. N. A. Manakova, G. A. Sviridyuk, “Nonclassical equations of mathematical physics. Phase space of semilinear Sobolev type equations”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:3 (2016),  31–51  mathnet  elib 18
23. E. A. Bogatyreva, N. A. Manakova, “Numerical simulation of the process of nonequilibrium counterflow capillary imbibition”, Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016),  125–132  mathnet  elib; Comput. Math. Math. Phys., 56:1 (2016), 132–139  isi  scopus 13
2015
24. N. A. Manakova, “Algorithm for numerical method of solution of the optimal control problem for semilinear Sobolev type models on basis of decomposition method”, J. Comp. Eng. Math., 2:3 (2015),  43–59  mathnet  elib 1
25. N. A. Manakova, A. A. Selivanova, “Numerical investigation of the Showalter–Sidorov problem for nonlinear diffusion equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 10(132),  24–28  mathnet  elib
26. N. A. Manakova, K. V. Vasyuchkova, “Numerical investigation of the generalized Hoff model”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 6(128),  93–97  mathnet  elib
27. N. A. Manakova, “The optimal control problem for the model of dynamics of weakly viscoelastic fluid”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015),  22–29  mathnet  elib
28. N. A. Manakova, O. V. Gavrilova, “Optimal control for a mathematical model of nerve impulse spreading”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:4 (2015),  120–126  mathnet  elib 7
29. N. A. Manakova, “Mathematical models and optimal control of the filtration and deformation processes”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:3 (2015),  5–24  mathnet  elib 14
30. N. A. Manakova, “Method of decomposition in the optimal control problem for semilinear Sobolev type models”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015),  133–137  mathnet  elib 10
2014
31. N. Manakova, E. Bogatyreva, “On a Solution of the Dirichlet–Cauchy Problem for the Barenblatt–Gilman Equation”, Bulletin of Irkutsk State University. Series Mathematics, 7 (2014),  52–60  mathnet 5
32. N. A. Manakova, “An optimal control to solutions of the Showalter – Sidorov problem for the Hoff model on the geometrical graph”, J. Comp. Eng. Math., 1:1 (2014),  26–33  mathnet  zmath  elib 5
33. G. A. Sviridyuk, N. A. Manakova, “The Dynamical Models of Sobolev Type with Showalter–Sidorov Condition and Additive “Noise””, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:1 (2014),  90–103  mathnet 46
2013
34. N. A. Manakova, A. G. Dylkov, “Optimal Control of the Solutions of the Initial-Finish Problem for the Linear Hoff Model”, Mat. Zametki, 94:2 (2013),  225–236  mathnet  mathscinet  zmath  elib; Math. Notes, 94:2 (2013), 220–230  isi  elib  scopus 25
2011
35. N. A. Manakova, “On a hyposithis of G. A. Sviridyuk”, Bulletin of Irkutsk State University. Series Mathematics, 4:4 (2011),  87–93  mathnet 1
36. N. A. Manakova, A. G. Dylkov, “On one optimal control problem with a penalty functional in general form”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(25) (2011),  18–24  mathnet 9
37. N. A. Manakova, A. G. Dylkov, “Optimal control of solutions of initial-finish problem for the linear Sobolev type equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 8,  113–114  mathnet 6
2010
38. N. A. Manakova, E. A. Bogonos, “Optimal control to solutions of the Showalter–Sidorov problem for a Sobolev type equation”, Bulletin of Irkutsk State University. Series Mathematics, 3:1 (2010),  42–53  mathnet 5
2005
39. G. A. Sviridyuk, N. A. Manakova, “An optimal control problem for the Hoff equation”, Sib. Zh. Ind. Mat., 8:2 (2005),  144–151  mathnet  mathscinet  elib; J. Appl. Industr. Math., 1:2 (2007), 247–253 25
2003
40. G. A. Sviridyuk, N. A. Manakova, “The phase space of the Cauchy–Dirichlet problem for the Oskolkov equation of nonlinear filtration”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 9,  36–41  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 47:9 (2003), 33–38 14
2002
41. G. A. Sviridyuk, N. A. Manakova, “Regular Perturbations of a Class of Sobolev Type Linear Equations”, Differ. Uravn., 38:3 (2002),  423–425  mathnet  mathscinet; Differ. Equ., 38:3 (2002), 447–450 4
2022
42. A. V. Keller, E. V. Bychkov, O. V. Gavrilova, S. A. Zagrebina, V. I. Zalyapin, A. A. Zamyshlyaeva, O. G. Kitaeva, A. S. Konkina, N. A. Manakova, D. E. Shafranov, O. N. Tsyplenkova, G. A. Sviridyuk, “Alexander Leonidovich Shestakov (to Anniversary Since Birth)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:3 (2022),  142–146  mathnet
43. S. V. Brychev, E. V. Bychkov, O. V. Gavrilova, M. A. Zagrebin, S. A. Zagrebina, A. A. Zamyshlyaeva, V. O. Kazak, A. V. Keller, O. G. Kitaeva, A. S. Konkina, N. A. Manakova, A. A. Mukhametyarova, K. V. Perevozhikova, M. A. Sagadeeva, E. A. Soldatova, N. N. Solovyova, T. G. Sukacheva, Yu. V. Khudyakov, O. N. Tsyplenkova, D. E. Shafranov, M. M. Yakupov, “Георгий Анатольевич Свиридюк (к юбилею)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:1 (2022),  123–127  mathnet 1
2020
44. A. L. Shestakov, A. A. Akimova, A. V. Keller, A. P. Lapin, N. A. Manakova, M. A. Sagadeeva, E. V. Yurasova, S. A. Zagrebina, A. A. Zamyshlyaeva, G. A. Sviridyuk, “Prof. Hristo Kirilov Radev, DSc. (November 15, 1940 – June 09, 2020)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020),  122–123  mathnet
45. G. A. Sviridyuk, A. V. Keller, S. A. Zagrebina, A. A. Zamyshlyaeva, N. A. Manakova, “Tamara Gennadievna Sukacheva (on anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:2 (2020),  151–153  mathnet
2019
46. E. V. Bychkov, A. V. Keller, N. A. Manakova, M. A. Sagadeeva, G. A. Sviridyuk, A. A. Zamyshlyaeva, S. A. Zagrebina, “Jacek Banasiak (on 60th birthday)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:2 (2019),  172–174  mathnet  elib
47. A. D. Baev, Yu. E. Gliklikh, S. A. Zagrebina, A. A. Zamyshlyaeva, S. I. Kadchenko, A. V. Keller, D. V. Kostin, N. A. Manakova, V. I. Rjazhskih, G. A. Sviridyuk, T. G. Sukacheva, “Yu.I. Sapronov. To the memory of mathematician, teacher and friend”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019),  166–168  mathnet  elib
48. S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, A. V. Makarova, N. A. Manakova, E. Yu. Mashkov, G. A. Sviridyuk, “To the 70th anniversary of professor Yu.E. Gliklikh”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019),  163–165  mathnet  elib
2018
49. M. V. Bulatov, A. V. Keller, A. A. Kosov, A. V. Lakeev, A. A. Levin, Nguen Khak Diep, Nguen Dik Bang, N. A. Manakova, G. A. Rudykh, È. I. Semenov, L. S. Solovarova, E. V. Chistyakova, “To the 70th anniversary of professor V. F. Chistyakov”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018),  169–176  mathnet  elib
2017
50. A. A. Bayazitova, S. V. Brychev, E. V. Bychkov, V. V. Zagrebina, M. A. Zagrebin, S. A. Zagrebina, G. A. Zakirova, A. A. Zamyshlyaeva, S. I. Kadchenko, V. O. Kazak, A. V. Keller, O. G. Kitaeva, N. A. Manakova, P. O. Moskvicheva, A. B. Samarov, O. Tsyplenkova, D. E. Shafranov, M. M. Yakupov, “To the 65th anniversary of professor G. A. Sviridyuk”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017),  155–158  mathnet  elib
2016
51. N. L. Abasheieva, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, A. I. Kozhanov, N. A. Manakova, G. A. Sviridyuk, “Sergey Grigorievich Pyatkov (to the 60th anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:2 (2016),  139–144  mathnet  elib
2013
52. R. Zh. Aleev, V. L. Dil'man, A. D. Drozin, V. I. Zalyapin, V. V. Karachik, A. V. Keller, Yu. M. Kovalev, N. A. Manakova, G. A. Sviridyuk, E. V. Tabarintseva, “Leonid Menikhes (to the $65^{th}$ anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:3 (2013),  136–140  mathnet 1
2011
53. A. L. Shestakov, G. P. Vyatkin, V. I. Zalyapin, N. A. Manakova, L. D. Menikhes, G. A. Sviridyuk, L. B. Sokolinskii, Yu. M. Kovalev, V. L. Dil'man, “Alexander Drozin (to the 60$^{th}$ anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 8,  115–120  mathnet 1

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