Gavrikov Mikhail Borisovich

Publications in Math-Net.Ru

1. Equilibrium configurations of plasma in a magnetic trap “Dipole” in the approximation of two-fluid magnetohydrodynamics
   
   Mat. Model., 37:2 (2025),  75–87
2. A simple mathematical model for calculating the output parameters of a stationary plasma thruster
   
   Mat. Model., 37:1 (2025),  96–112
3. Numerical solution of ionization equations using the fractional steps method
   
   Keldysh Institute preprints, 2024, 054, 16 pp.
4. Mathematical model for calculating the output parameters of a stationary plasma thruster
   
   Keldysh Institute preprints, 2024, 045, 41 pp.
5. Statistical classifier for determining the localization area of oncopathology using a blood test
   
   Keldysh Institute preprints, 2024, 022, 15 pp.
6. Numerical solution of ionization equations by the fractional step method
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024),  1398–1408
7. 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.
8. Finding the area of localization of oncopathology according to the parameters of the patient's blood
   
   Keldysh Institute preprints, 2023, 024, 14 pp.
9. Prototype of a decision support system in medical diagnostics based on a statistical approach
   
   Keldysh Institute preprints, 2022, 076, 23 pp.
10. Statistical approach for diagnosing oncological diseases by blood parameters
    
    Keldysh Institute preprints, 2022, 072, 12 pp.
11. Boundary value problem for plane nonlinear solitary waves in Hall MHD
    
    Keldysh Institute preprints, 2022, 022, 31 pp.
12. Hybrid model of a stationary plasma thruster taking into account the final electron mass
    
    Mat. Model., 34:5 (2022),  105–122
13. Stationary and oscillating solutions of the ionization equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022),  1158–1179
14. Some mathematical questions of plasma ionization
    
    Keldysh Institute preprints, 2021, 094, 48 pp.
15. On the properties of the classifier in case of small deviations of blood parameters from the norm
    
    Keldysh Institute preprints, 2021, 070, 26 pp.
16. On the properties of the classifier in case of maximal deviations of blood parameters from the norm
    
    Keldysh Institute preprints, 2021, 064, 27 pp.
17. On the properties of the classifier in case of normal blood parameters
    
    Keldysh Institute preprints, 2021, 036, 23 pp.
18. Hybrid model of a stationary plasma thruster
    
    Keldysh Institute preprints, 2021, 035, 47 pp.
19. On the properties of the classifier in case of significant deviations of blood parameters from the norm
    
    Keldysh Institute preprints, 2021, 031, 27 pp.
20. Variational principle for electromagnetic hydrodynamics of plasma
    
    Keldysh Institute preprints, 2021, 022, 48 pp.
21. Variational principle for local fields
    
    Keldysh Institute preprints, 2021, 014, 39 pp.
22. On the ability of a statistical classifier to generalize
    
    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2021, no. 4,  38–50
23. Mathematical model of powerful tornado in the atmosphere
    
    Mat. Model., 33:3 (2021),  3–19
24. Mathematical model of a magnetic tornado
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1556–1570
25. 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.
26. Mathematical model of powerful tornado in the atmosphere
    
    Keldysh Institute preprints, 2020, 044, 31 pp.
27. Mathematical model of magnetic tornado
    
    Keldysh Institute preprints, 2020, 042, 36 pp.
28. 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.
29. On the stability of the statistical classifier of states of human body systems to distortions
    
    Keldysh Institute preprints, 2020, 032, 40 pp.
30. Numerical personal threpsology: the problems and solutions
    
    Keldysh Institute preprints, 2020, 025, 36 pp.
31. Statistical method of recognizing on the base of nonlinear regression
    
    Mat. Model., 32:4 (2020),  116–130
32. A research of characteristics of the recognition method
    
    Keldysh Institute preprints, 2019, 148, 12 pp.
33. Computational aspects of the problems of digital nutrition
    
    Keldysh Institute preprints, 2019, 136, 16 pp.
34. Recognition of symbols by the method of polynomial regression
    
    Keldysh Institute preprints, 2019, 124, 14 pp.
35. Methods without saturation in computational mathematics
    
    Keldysh Institute preprints, 2019, 075, 40 pp.
36. Main positions of electromagnetic hydrodynamics of plasma (EMHD)
    
    Keldysh Institute preprints, 2019, 065, 36 pp.
37. Simple mathematical model of tornado
    
    Keldysh Institute preprints, 2019, 042, 34 pp.
38. Influence of synchrotron and photorecombination radiation on absorption of alfven wave by dissipative plasma
    
    Mat. Model., 31:12 (2019),  71–85
39. 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.
40. Influence of synchrotron and photorecombination radiation on nonlinear absorption of Alfven wave by dissipative plasma
    
    Keldysh Institute preprints, 2018, 234, 19 pp.
41. On the structure of the classifier's training base for assessing the state of human health
    
    Keldysh Institute preprints, 2018, 126, 18 pp.
42. Nonlinear travelling waves in hot plas
    
    Keldysh Institute preprints, 2018, 092, 40 pp.
43. Propagation of plasma bunches through a transverse magnetic barrier
    
    Zhurnal Tekhnicheskoi Fiziki, 88:1 (2018),  22–27
44. The method of estimating the state of human health
    
    Keldysh Institute preprints, 2017, 008, 18 pp.
45. The properties of short-circuited HTSC coils
    
    Zhurnal Tekhnicheskoi Fiziki, 87:6 (2017),  875–879
46. A research of characteristics of the recognition method on the training set
    
    Keldysh Institute preprints, 2015, 035, 24 pp.
47. Statistical properties of sets of symbols
    
    Keldysh Institute preprints, 2015, 034, 13 pp.
48. Statistical analysis of characteristics of the recognition method on the training set
    
    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2015, no. 2,  50–67
49. 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
50. 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
51. Levitating states of superconducting rings in the field of a fixed ring with constant current
    
    Zhurnal Tekhnicheskoi Fiziki, 84:5 (2014),  155–158
52. Equilibrium of a system of superconducting rings in a uniform gravitational field
    
    Zhurnal Tekhnicheskoi Fiziki, 83:5 (2013),  61–68
53. Analysis of the diamagnetic effect in multipole Galatea traps
    
    Zhurnal Tekhnicheskoi Fiziki, 83:4 (2013),  34–40
54. Spartial nonlinear absorption of Alfven waves in the dissipative plasma
    
    Mat. Model., 25:8 (2013),  65–79
55. The influence of electron inertia on the incompressible plasma flow in a planar channel
    
    Mat. Model., 24:9 (2012),  79–96
56. 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
57. The nonlinear absorption of Alfven wave in dissipative plasma
    
    Keldysh Institute preprints, 2011, 068, 28 pp.
58. About Recognition of the Modified Learning Base. (Part2)
    
    Keldysh Institute preprints, 2010, 013, 16 pp.
59. About Recognition of the Modified Learning Base (Part1)
    
    Keldysh Institute preprints, 2010, 009, 28 pp.
60. Two-fluids plasma acceleration in plane channel
    
    Keldysh Institute preprints, 2009, 052, 27 pp.
61. Estimations of recognition and structure of arrangement of images of characters
    
    Keldysh Institute preprints, 2009, 049, 29 pp.
62. 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.
63. 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
64. Analysis of method of character recognition, based on polynomial regression
    
    Keldysh Institute preprints, 2008, 025, 29 pp.
65. About some properties of estimation of method of character recognition, based on polynomial regression
    
    Keldysh Institute preprints, 2008, 007, 29 pp.
66. About some properties of method of character recognition, based on polynomial regression
    
    Keldysh Institute preprints, 2007, 069, 21 pp.
67. About influence of external circuit on dynamics of plasma cord
    
    Keldysh Institute preprints, 2007, 031, 27 pp.
68. The basic equations for two-fluid electromagnetic hydrodynamics. Part ii. Shock waves
    
    Keldysh Institute preprints, 2007, 030, 27 pp.
69. On a pattern recognition method based on polynomial regression
    
    Avtomat. i Telemekh., 2006, no. 2,  119–134
70. The basic equations for two-fluid electromagnetic hydrodynamics. Part I
    
    Keldysh Institute preprints, 2006, 059, 28 pp.
71. Homogeneous motions of plasma cord in electromagnetic hydrodynamics
    
    Keldysh Institute preprints, 2006, 040, 28 pp.
72. Development of Polynomial Regression in recognition of printed and hand-printed letters
    
    Keldysh Institute preprints, 2006, 025, 22 pp.
73. About the compelled fluctuations of plasma in a round cylindrical pipe
    
    Keldysh Institute preprints, 2005, 076, 19 pp.
74. Plasma equilibrium equations for two-fluid plasma
    
    Keldysh Institute preprints, 2005, 074, 26 pp.
75. Polynomial regression in recognition of printed and hand-printed letters
    
    Keldysh Institute preprints, 2004, 022, 12 pp.
76. The steady — state flow of two — component quasineutral plasma in cylindrical channels
    
    Keldysh Institute preprints, 2004, 007, 33 pp.
77. The steady-state flow of two-component quasineutral plasma in plane-parallel channel
    
    Keldysh Institute preprints, 2003, 054, 19 pp.
78. One numerical method of boundary problem's ‘solution without saturation’
    
    Keldysh Institute preprints, 2001, 050
79. Numerical Modeling of Convective Heat Transfer in Boundered Region
    
    Keldysh Institute preprints, 1997, 028
80. A kinetics equation for a singular beam of particles in an external forces field
    
    Mat. Model., 6:4 (1994),  65–76