Lukyanenko Dmitry Vitalyevich

Publications in Math-Net.Ru

1. A structural two-level neural network approach to joint inversion of gravitational and magnetic fields
   
   Num. Meth. Prog., 26:3 (2025),  322–339
2. "Fast" algorithm for solving some three-dimensional inverse problems of magnetometry
   
   Mat. Model., 36:1 (2024),  41–58
3. Erratum to: On the construction of an optimal network of observation points when solving inverse linear problems of gravimetry and magnetometry
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:11 (2024),  2736
4. Solving some inverse problems of gravimetry and magnetometry using an algorithm that improves matrix conditioning
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:10 (2024),  1795–1808
5. On the simultaneous determination of the distribution density of sources equivalent in the external field and the spectrum of the useful signal
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024),  867–880
6. On the construction of an optimal network of observation points when solving inverse linear problems of gravimetry and magnetometry
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  403–414
7. Algorithm for controlling the process of spraying optical coatings based on sample broadband measurement data
   
   Sib. Zh. Ind. Mat., 26:3 (2023),  169–178
8. On the uniqueness of solution to systems of linear algebraic equations to which the inverse problems of gravimetry and magnetometry are reduced: A regional variant
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023),  1446–1457
9. On the uniqueness of solutions to systems of linear algebraic equations resulting from the reduction of linear inverse problems of gravimetry and magnetometry: a local case
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1317–1331
10. Features of numerical reconstruction of a boundary condition in an inverse problem for a reaction–diffusion–advection equation with data on the position of a reaction front
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  451–461
11. Comparative analysis of algorithms for solving inverse problems related to monochromatic monitoring the deposition of multilayer optical coatings
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1528–1535
12. On phase correction in tomographic research
    
    Sib. Zh. Ind. Mat., 23:4 (2020),  18–29
13. Raising the accuracy of monitoring the optical coating deposition by application of a nonlocal algorithm of data analysis
    
    Sib. Zh. Ind. Mat., 23:2 (2020),  93–105
14. Stable method for optical monitoring the deposition of multilayer optical coatings
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2122–2130
15. Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein–Gordon equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1503–1512
16. Reconstruction of magnetic susceptibility using full magnetic gradient data
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1027–1034
17. A nonlocal algorithm for analyzing the data of monochromatic optical control in the process of multilayer coating deposition
    
    Num. Meth. Prog., 20:4 (2019),  471–480
18. Application of asymptotic analysis methods for solving a coefficient inverse problem for a system of nonlinear singularly perturbed reaction-diffusion equations with cubic nonlinearity
    
    Num. Meth. Prog., 20:4 (2019),  363–377
19. A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches
    
    Num. Meth. Prog., 20:3 (2019),  323–336
20. Diagnostics of instant decomposition of solution in the nonlinear equation of theory of waves in semiconductors
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:4 (2019),  104–113
21. Comparison of algorithms for determining the thickness of optical coatings online
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019),  494–504
22. Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction–advection–diffusion models
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019),  50–62
23. Regularizing algorithms for the determination of thickness of deposited layers in optical coating production
    
    Eurasian Journal of Mathematical and Computer Applications, 6:4 (2018),  38–47
24. Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities
    
    Izv. RAN. Ser. Mat., 82:2 (2018),  43–78
25. Correlation of errors in optical coating production with broad band monitoring
    
    Num. Meth. Prog., 19:4 (2018),  439–448
26. Analytic-numerical investigation of combustion in a nonlinear medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1553–1563
27. Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation
    
    Model. Anal. Inform. Sist., 24:3 (2017),  322–338
28. Modeling of ecosystems as a process of self-organization
    
    Mat. Model., 29:11 (2017),  40–52
29. Local solvability and decay of the solution of an equation with quadratic noncoercive nonlineatity
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017),  107–123
30. Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  867–875
31. Some methods for solving of 3D inverse problem of magnetometry
    
    Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016),  4–14
32. Analytic-numerical approach to solving singularly perturbed parabolic equations with the use of dynamic adapted meshes
    
    Model. Anal. Inform. Sist., 23:3 (2016),  334–341
33. Blow-up phenomena in the model of a space charge stratification in semiconductors: numerical analysis of original equation reduction to a differential-algebraic system
    
    Num. Meth. Prog., 17:4 (2016),  437–446
34. Regularized inversion of full tensor magnetic gradient data
    
    Num. Meth. Prog., 17:1 (2016),  13–20
35. Using Lagrange principle for solving linear ill-posed problems with a priori information
    
    Num. Meth. Prog., 14:4 (2013),  468–482
36. Application of multiprocessor systems for solving inverse problems leading to Fredholm integral equations of the first kind
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  222–234
37. A method of restoring the aerosol particle size distribution function on the set of piecewise-convex functions
    
    Num. Meth. Prog., 13:1 (2012),  49–66
38. Restoring Orientational Distribution Function of Particles
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14,  172–176
39. Application of multiprocessor systems for solving three-dimensional Fredholm integral equations of the first kind for vector functions
    
    Num. Meth. Prog., 11:4 (2010),  336–343
40. Application of multiprocessor systems to solving the two-dimensional convolution-type Fredholm integral equations of the first kind for vector-functions
    
    Num. Meth. Prog., 10:2 (2009),  263–267


41. Some features of numerical diagnostics of instantaneous blow-up of the solution by the example of solving the equation of slow diffusion
    
    Num. Meth. Prog., 22:1 (2021),  77–86