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Gavrikov, Mikhail Borisovich
Statistics Math-Net.Ru
Total publications: 80
Scientific articles: 80

Number of views:
This page:1346
Abstract pages:31265
Full texts:12800
Candidate of physico-mathematical sciences (1990)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 1952
Website: https://7iskusstv.com/Avtory/Gavrikov.php

https://www.mathnet.ru/eng/person38859
List of publications on Google Scholar
https://zbmath.org/authors/ai:gavrikov.m-b
https://mathscinet.ams.org/mathscinet/MRAuthorID/231069
https://elibrary.ru/author_items.asp?authorid=2232
https://orcid.org/0000-0001-7165-8318

Publications in Math-Net.Ru Citations
2025
1. M. B. Gavrikov, V. V. Savelyev, “Equilibrium configurations of plasma in a magnetic trap “Dipole” in the approximation of two-fluid magnetohydrodynamics”, Mat. Model., 37:2 (2025),  75–87  mathnet
2. M. B. Gavrikov, A. A. Tayurskii, “A simple mathematical model for calculating the output parameters of a stationary plasma thruster”, Mat. Model., 37:1 (2025),  96–112  mathnet
2024
3. M. B. Gavrikov, A. A. Tayurskii, “Numerical solution of ionization equations using the fractional steps method”, Keldysh Institute preprints, 2024, 054, 16 pp.  mathnet
4. M. B. Gavrikov, A. A. Tayurskii, “Mathematical model for calculating the output parameters of a stationary plasma thruster”, Keldysh Institute preprints, 2024, 045, 41 pp.  mathnet 1
5. B. M. Gavrikov, M. B. Gavrikov, I. M. Lebedenko, N. V. Pestryakova, “Statistical classifier for determining the localization area of oncopathology using a blood test”, Keldysh Institute preprints, 2024, 022, 15 pp.  mathnet
6. M. B. Gavrikov, A. A. Tayurskiy, “Numerical solution of ionization equations by the fractional step method”, Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024),  1398–1408  mathnet  elib; Comput. Math. Math. Phys., 64:8 (2024), 1715–1725
2023
7. M. B. Gavrikov, A. A. Tayurskii, “Analytical solution of mixed problems for one-dimensional ionization equations in the case of constant velocities of atoms and ions”, Keldysh Institute preprints, 2023, 030, 36 pp.  mathnet 3
8. B. M. Gavrikov, M. B. Gavrikov, I. M. Lebedenko, N. V. Pestryakova, “Finding the area of localization of oncopathology according to the parameters of the patient's blood”, Keldysh Institute preprints, 2023, 024, 14 pp.  mathnet 1
2022
9. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “Prototype of a decision support system in medical diagnostics based on a statistical approach”, Keldysh Institute preprints, 2022, 076, 23 pp.  mathnet
10. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “Statistical approach for diagnosing oncological diseases by blood parameters”, Keldysh Institute preprints, 2022, 072, 12 pp.  mathnet 2
11. M. B. Gavrikov, A. A. Tayurskii, “Boundary value problem for plane nonlinear solitary waves in Hall MHD”, Keldysh Institute preprints, 2022, 022, 31 pp.  mathnet
12. M. B. Gavrikov, A. A. Taiurskii, “Hybrid model of a stationary plasma thruster taking into account the final electron mass”, Mat. Model., 34:5 (2022),  105–122  mathnet  mathscinet; Math. Models Comput. Simul., 14:6 (2022), 1021–1031 1
13. M. B. Gavrikov, A. A. Tayurskiy, “Stationary and oscillating solutions of the ionization equations”, Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022),  1158–1179  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:7 (2022), 1131–1151 3
2021
14. M. B. Gavrikov, A. A. Tayurskii, “Some mathematical questions of plasma ionization”, Keldysh Institute preprints, 2021, 094, 48 pp.  mathnet 3
15. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the properties of the classifier in case of small deviations of blood parameters from the norm”, Keldysh Institute preprints, 2021, 070, 26 pp.  mathnet  elib
16. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the properties of the classifier in case of maximal deviations of blood parameters from the norm”, Keldysh Institute preprints, 2021, 064, 27 pp.  mathnet  elib 1
17. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the properties of the classifier in case of normal blood parameters”, Keldysh Institute preprints, 2021, 036, 23 pp.  mathnet  elib 2
18. M. B. Gavrikov, A. A. Tayurskii, “Hybrid model of a stationary plasma thruster”, Keldysh Institute preprints, 2021, 035, 47 pp.  mathnet 4
19. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the properties of the classifier in case of significant deviations of blood parameters from the norm”, Keldysh Institute preprints, 2021, 031, 27 pp.  mathnet  elib 3
20. M. B. Gavrikov, “Variational principle for electromagnetic hydrodynamics of plasma”, Keldysh Institute preprints, 2021, 022, 48 pp.  mathnet 1
21. M. B. Gavrikov, “Variational principle for local fields”, Keldysh Institute preprints, 2021, 014, 39 pp.  mathnet  elib 1
22. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the ability of a statistical classifier to generalize”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2021, no. 4,  38–50  mathnet  elib 4
23. M. B. Gavrikov, A. A. Taiurskii, “Mathematical model of powerful tornado in the atmosphere”, Mat. Model., 33:3 (2021),  3–19  mathnet; Math. Models Comput. Simul., 13:6 (2021), 919–929 1
24. M. B. Gavrikov, A. A. Tayurskiy, “Mathematical model of a magnetic tornado”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1556–1570  mathnet  elib; Comput. Math. Math. Phys., 61:9 (2021), 1532–1545  isi  scopus
2020
25. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the stability of the statistical classifier of states of human body systems to distortions in degenerate cases”, Keldysh Institute preprints, 2020, 049, 26 pp.  mathnet  elib 2
26. M. B. Gavrikov, A. A. Taiurskii, “Mathematical model of powerful tornado in the atmosphere”, Keldysh Institute preprints, 2020, 044, 31 pp.  mathnet
27. M. B. Gavrikov, A. A. Taiurskii, “Mathematical model of magnetic tornado”, Keldysh Institute preprints, 2020, 042, 36 pp.  mathnet 1
28. M. B. Gavrikov, A. A. Tayurskii, “Research of influence of plasma inhomogeneity on Alfvén wave nonlinear absorption by dissipative plasma when considering photorecombination radiation”, Keldysh Institute preprints, 2020, 037, 16 pp.  mathnet
29. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the stability of the statistical classifier of states of human body systems to distortions”, Keldysh Institute preprints, 2020, 032, 40 pp.  mathnet  elib 3
30. M. B. Gavrikov, A. A. Kislitsyn, Yu. N. Orlov, A. O. Kambarov, D. B. Nikitjuk, V. A. Tutelyan, “Numerical personal threpsology: the problems and solutions”, Keldysh Institute preprints, 2020, 025, 36 pp.  mathnet 3
31. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “Statistical method of recognizing on the base of nonlinear regression”, Mat. Model., 32:4 (2020),  116–130  mathnet; Math. Models Comput. Simul., 12:6 (2020), 996–1004 9
2019
32. M. B. Gavrikov, N. V. Pestryakova, “A research of characteristics of the recognition method”, Keldysh Institute preprints, 2019, 148, 12 pp.  mathnet  elib
33. M. B. Gavrikov, A. A. Kislitsyn, Yu. N. Orlov, N. V. Pestryakova, “Computational aspects of the problems of digital nutrition”, Keldysh Institute preprints, 2019, 136, 16 pp.  mathnet 1
34. M. B. Gavrikov, N. V. Pestryakova, “Recognition of symbols by the method of polynomial regression”, Keldysh Institute preprints, 2019, 124, 14 pp.  mathnet
35. M. B. Gavrikov, “Methods without saturation in computational mathematics”, Keldysh Institute preprints, 2019, 075, 40 pp.  mathnet  elib 5
36. M. B. Gavrikov, “Main positions of electromagnetic hydrodynamics of plasma (EMHD)”, Keldysh Institute preprints, 2019, 065, 36 pp.  mathnet  elib
37. M. B. Gavrikov, A. A. Tayurskii, “Simple mathematical model of tornado”, Keldysh Institute preprints, 2019, 042, 34 pp.  mathnet  elib 4
38. M. B. Gavrikov, A. A. Taiurskii, “Influence of synchrotron and photorecombination radiation on absorption of alfven wave by dissipative plasma”, Mat. Model., 31:12 (2019),  71–85  mathnet  elib; Math. Models Comput. Simul., 12:4 (2020), 579–589 5
2018
39. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, R. V. Stavitskii, “The structure of the training base of the statistical classifier of the states of the human body systems”, Keldysh Institute preprints, 2018, 255, 40 pp.  mathnet  elib 8
40. M. B. Gavrikov, A. A. Tayurskii, “Influence of synchrotron and photorecombination radiation on nonlinear absorption of Alfven wave by dissipative plasma”, Keldysh Institute preprints, 2018, 234, 19 pp.  mathnet  elib
41. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “On the structure of the classifier's training base for assessing the state of human health”, Keldysh Institute preprints, 2018, 126, 18 pp.  mathnet  elib 6
42. M. B. Gavrikov, A. A. Taiurskii, “Nonlinear travelling waves in hot plas”, Keldysh Institute preprints, 2018, 092, 40 pp.  mathnet  elib
43. A. M. Bishaev, M. B. Gavrikov, M. V. Kozintseva, V. V. Savelyev, “Propagation of plasma bunches through a transverse magnetic barrier”, Zhurnal Tekhnicheskoi Fiziki, 88:1 (2018),  22–27  mathnet  elib; Tech. Phys., 63:1 (2018), 20–25 3
2017
44. B. M. Gavrikov, M. B. Gavrikov, I. M. Lebedenko, N. V. Pestryakova, R. V. Stavitskii, “The method of estimating the state of human health”, Keldysh Institute preprints, 2017, 008, 18 pp.  mathnet 2
45. M. V. Kozintseva, A. M. Bishaev, A. A. Bush, M. B. Gavrikov, K. E. Kamentsev, N. A. Nizhel'skii, V. V. Savelyev, A. S. Sigov, “The properties of short-circuited HTSC coils”, Zhurnal Tekhnicheskoi Fiziki, 87:6 (2017),  875–879  mathnet  elib; Tech. Phys., 62:6 (2017), 890–894 6
2015
46. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “A research of characteristics of the recognition method on the training set”, Keldysh Institute preprints, 2015, 035, 24 pp.  mathnet
47. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “Statistical properties of sets of symbols”, Keldysh Institute preprints, 2015, 034, 13 pp.  mathnet
48. B. M. Gavrikov, M. B. Gavrikov, N. V. Pestryakova, “Statistical analysis of characteristics of the recognition method on the training set”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2015, no. 2,  50–67  mathnet
49. A. M. Bishaev, A. A. Bush, M. B. Gavrikov, K. E. Kamentsev, M. V. Kozintseva, V. V. Savelyev, A. S. Sigov, “Stability of equilibrium of a superconducting ring that levitates in the field of a fixed ring with constant current”, Zhurnal Tekhnicheskoi Fiziki, 85:11 (2015),  137–140  mathnet  elib; Tech. Phys., 60:11 (2015), 1710–1713 3
2014
50. M. B. Gavrikov, N. V. Pestryakova, “On applicability of methods of recognition to research of statistical properties of sets of symbols”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2014, no. 4,  25–32  mathnet
51. A. M. Bishaev, A. A. Bush, M. B. Gavrikov, A. I. Denisyuk, K. E. Kamentsev, M. V. Kozintseva, V. V. Savelyev, A. S. Sigov, “Levitating states of superconducting rings in the field of a fixed ring with constant current”, Zhurnal Tekhnicheskoi Fiziki, 84:5 (2014),  155–158  mathnet  elib; Tech. Phys., 59:6 (2014), 940–943 4
2013
52. A. M. Bishaev, A. A. Bush, M. B. Gavrikov, I. S. Gordeev, A. I. Denisyuk, K. E. Kamentsev, M. V. Kozintseva, V. V. Savelyev, A. S. Sigov, “Equilibrium of a system of superconducting rings in a uniform gravitational field”, Zhurnal Tekhnicheskoi Fiziki, 83:5 (2013),  61–68  mathnet  elib; Tech. Phys., 58:5 (2013), 684–691 7
53. A. M. Bishaev, A. I. Bugrova, M. B. Gavrikov, M. V. Kozintseva, A. S. Lipatov, V. V. Savelyev, A. S. Sigov, P. G. Smirnov, I. A. Tarelkin, P. P. Khramtsov, “Analysis of the diamagnetic effect in multipole Galatea traps”, Zhurnal Tekhnicheskoi Fiziki, 83:4 (2013),  34–40  mathnet  elib; Tech. Phys., 58:4 (2013), 498–504 11
54. M. B. Gavrikov, A. A. Tayurskiy, “Spartial nonlinear absorption of Alfven waves in the dissipative plasma”, Mat. Model., 25:8 (2013),  65–79  mathnet  mathscinet 8
2012
55. M. B. Gavrikov, A. A. Tayurskiy, “The influence of electron inertia on the incompressible plasma flow in a planar channel”, Mat. Model., 24:9 (2012),  79–96  mathnet  mathscinet 1
56. A. M. Bishaev, A. A. Bush, M. B. Gavrikov, K. E. Kamentsev, M. V. Kozintseva, V. V. Savelyev, A. S. Sigov, “The potential energy of a superconducting ring system locking magnetic flows in a gravity field”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 38:19 (2012),  23–29  mathnet  elib; Tech. Phys. Lett., 38:10 (2012), 880–883 3
2011
57. M. B. Gavrikov, A. A. Tayurskiy, “The nonlinear absorption of Alfven wave in dissipative plasma”, Keldysh Institute preprints, 2011, 068, 28 pp.  mathnet
2010
58. M. B. Gavrikov, N. V. Pestryakova, A. V. Uskov, V. V. Farsobina, “About Recognition of the Modified Learning Base. (Part2)”, Keldysh Institute preprints, 2010, 013, 16 pp.  mathnet
59. M. B. Gavrikov, N. V. Pestryakova, A. V. Uskov, V. V. Farsobina, “About Recognition of the Modified Learning Base (Part1)”, Keldysh Institute preprints, 2010, 009, 28 pp.  mathnet
2009
60. M. B. Gavrikov, V. V. Savelyev, G. V. Shmarovoz, “Two-fluids plasma acceleration in plane channel”, Keldysh Institute preprints, 2009, 052, 27 pp.  mathnet
61. M. B. Gavrikov, N. V. Pestryakova, A. V. Uskov, V. V. Farsobina, “Estimations of recognition and structure of arrangement of images of characters”, Keldysh Institute preprints, 2009, 049, 29 pp.  mathnet
62. M. B. Gavrikov, N. V. Pestryakova, A. V. Uskov, V. V. Farsobina, “Dependence of the quality of recognition of mutual arrangement of average rasters and vectors of bases of learning and recognition”, Keldysh Institute preprints, 2009, 019, 29 pp.  mathnet 1
63. M. B. Gavrikov, V. V. Savelyev, “Equilibrium configurations of plasma in the approximation of two-fluid magnetohydrodynamics with electron inertia taken into account”, Tr. Semim. im. I. G. Petrovskogo, 27 (2009),  3–66  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 163:1 (2009), 1–40  scopus 9
2008
64. M. B. Gavrikov, N. V. Pestryakova, A. V. Uskov, V. V. Farsobina, “Analysis of method of character recognition, based on polynomial regression”, Keldysh Institute preprints, 2008, 025, 29 pp.  mathnet 4
65. M. B. Gavrikov, N. V. Pestryakova, A. V. Uskov, V. V. Farsobina, “About some properties of estimation of method of character recognition, based on polynomial regression”, Keldysh Institute preprints, 2008, 007, 29 pp.  mathnet 4
2007
66. M. B. Gavrikov, N. V. Pestryakova, A. V. Uskov, V. V. Farsobina, “About some properties of method of character recognition, based on polynomial regression”, Keldysh Institute preprints, 2007, 069, 21 pp.  mathnet 5
67. M. B. Gavrikov, R. V. Sorokin, A. A. Tayurskiy, G. V. Shmarovoz, “About influence of external circuit on dynamics of plasma cord”, Keldysh Institute preprints, 2007, 031, 27 pp.  mathnet
68. M. B. Gavrikov, M. S. Mikhailova, N. V. Pestryakova, “The basic equations for two-fluid electromagnetic hydrodynamics. Part ii. Shock waves”, Keldysh Institute preprints, 2007, 030, 27 pp.  mathnet
2006
69. M. B. Gavrikov, A. V. Misyurev, N. V. Pestryakova, O. A. Slavin, “On a pattern recognition method based on polynomial regression”, Avtomat. i Telemekh., 2006, no. 2,  119–134  mathnet  mathscinet  zmath; Autom. Remote Control, 67:2 (2006), 278–292  scopus 16
70. M. B. Gavrikov, “The basic equations for two-fluid electromagnetic hydrodynamics. Part I”, Keldysh Institute preprints, 2006, 059, 28 pp.  mathnet 5
71. M. B. Gavrikov, R. V. Sorokin, “Homogeneous motions of plasma cord in electromagnetic hydrodynamics”, Keldysh Institute preprints, 2006, 040, 28 pp.  mathnet
72. M. B. Gavrikov, N. V. Pestryakova, O. A. Slavin, V. V. Farsobina, “Development of Polynomial Regression in recognition of printed and hand-printed letters”, Keldysh Institute preprints, 2006, 025, 22 pp.  mathnet 6
2005
73. M. B. Gavrikov, R. V. Sorokin, “About the compelled fluctuations of plasma in a round cylindrical pipe”, Keldysh Institute preprints, 2005, 076, 19 pp.  mathnet
74. M. B. Gavrikov, M. S. Mikhailova, “Plasma equilibrium equations for two-fluid plasma”, Keldysh Institute preprints, 2005, 074, 26 pp.  mathnet
2004
75. M. B. Gavrikov, N. V. Pestryakova, “Polynomial regression in recognition of printed and hand-printed letters”, Keldysh Institute preprints, 2004, 022, 12 pp.  mathnet 14
76. M. B. Gavrikov, M. S. Mikhailova, “The steady — state flow of two — component quasineutral plasma in cylindrical channels”, Keldysh Institute preprints, 2004, 007, 33 pp.  mathnet
2003
77. M. B. Gavrikov, M. S. Mikhailova, “The steady-state flow of two-component quasineutral plasma in plane-parallel channel”, Keldysh Institute preprints, 2003, 054, 19 pp.  mathnet
2001
78. M. B. Gavrikov, “One numerical method of boundary problem's ‘solution without saturation’”, Keldysh Institute preprints, 2001, 050  mathnet
1997
79. M. B. Gavrikov, N. V. Pestryakova, “Numerical Modeling of Convective Heat Transfer in Boundered Region”, Keldysh Institute preprints, 1997, 028  mathnet
1994
80. M. B. Gavrikov, “A kinetics equation for a singular beam of particles in an external forces field”, Mat. Model., 6:4 (1994),  65–76  mathnet  mathscinet  zmath

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