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Lukyanenko, Dmitry Vitalyevich
Statistics Math-Net.Ru
Total publications: 36
Scientific articles: 35
Presentations: 2

Number of views:
This page:634
Abstract pages:6600
Full texts:1866
References:564
Scientific Employee
Candidate of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person73144
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List of publications on ZentralBlatt

Publications in Math-Net.Ru Citations
2024
1. A. S. Leonov, D. V. Lukyanenko, A. G. Yagola, “"Fast" algorithm for solving some three-dimensional inverse problems of magnetometry”, Matem. Mod., 36:1 (2024),  41–58  mathnet; Math. Models Comput. Simul., 16:3 (2024), 352–363
2023
2. V. D. Shinkarev, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola, “Algorithm for controlling the process of spraying optical coatings based on sample broadband measurement data”, Sib. Zh. Ind. Mat., 26:3 (2023),  169–178  mathnet; J. Appl. Industr. Math., 17:3 (2023), 608–615
3. I. I. Kolotov, D. V. Lukyanenko, I. È. Stepanova, A. V. Shchepetilov, A. G. Yagola, “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  mathnet  elib; Comput. Math. Math. Phys., 63:9 (2023), 1588–1599 4
4. I. I. Kolotov, D. V. Lukyanenko, I. É. Stepanova, A. G. Yagola, “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  mathnet  elib; Comput. Math. Math. Phys., 63:8 (2023), 1452–1465 6
2022
5. R. L. Argun, A. V. Gorbachev, D. V. Lukyanenko, M. A. Shishlenin, “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  mathnet  elib; Comput. Math. Math. Phys., 62:3 (2022), 441–451  isi  scopus 1
2021
6. I. V. Kochikov, Yu. S. Lagutin, A. A. Lagutina, D. V. Lukyanenko, A. V. Tikhonravov, S. A. Sharapova, A. G. Yagola, “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  mathnet  elib; Comput. Math. Math. Phys., 61:9 (2021), 1504–1510  isi  scopus 6
2020
7. Ya. Wang, A. S. Leonov, D. V. Lukyanenko, V. D. Shinkarev, A. G. Yagola, “On phase correction in tomographic research”, Sib. Zh. Ind. Mat., 23:4 (2020),  18–29  mathnet  elib; J. Appl. Industr. Math., 14:4 (2020), 802–810  scopus 3
8. I. V. Kochikov, Yu. S. Lagutin, A. A. Lagutina, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola, “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  mathnet  elib; J. Appl. Industr. Math., 14:2 (2020), 330–339  scopus 8
9. I. V. Kochikov, Yu. S. Lagutin, A. A. Lagutina, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola, “Stable method for optical monitoring the deposition of multilayer optical coatings”, Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2122–2130  mathnet  elib; Comput. Math. Math. Phys., 60:12 (2020), 2056–2063  isi  scopus 6
10. M. O. Korpusov, A. N. Levashov, D. V. Lukyanenko, “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  mathnet  elib; Comput. Math. Math. Phys., 60:9 (2020), 1452–1460  isi  scopus 2
11. Y. Wang, I. I. Kolotov, D. V. Lukyanenko, A. G. Yagola, “Reconstruction of magnetic susceptibility using full magnetic gradient data”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1027–1034  mathnet  elib; Comput. Math. Math. Phys., 60:6 (2020), 1000–1007  isi  scopus 6
2019
12. I. V. Kochikov, Yu. S. Lagutin, A. A. Lagutina, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola, “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  mathnet 5
13. D. V. Lukyanenko, A. A. Mel'nikova, “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  mathnet 2
14. V. A. Vasil'chenko, M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, “A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches”, Num. Meth. Prog., 20:3 (2019),  323–336  mathnet  elib 1
15. M. O. Korpusov, A. K. Matveeva, D. V. Lukyanenko, “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  mathnet
16. T. F. Isaev, I. V. Kochikov, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola, “Comparison of algorithms for determining the thickness of optical coatings online”, Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019),  494–504  mathnet  elib; Comput. Math. Math. Phys., 59:3 (2019), 465–474  isi  scopus 2
17. V.T. Volkov, D. V. Lukyanenko, N. N. Nefedov, “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  mathnet  elib; Comput. Math. Math. Phys., 59:1 (2019), 46–58  isi  scopus 15
2018
18. T. F. Isaev, I. V. Kochikov, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola, “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  mathnet  isi  scopus
19. M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, E. V. Yushkov, “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  mathnet  mathscinet  elib; Izv. Math., 82:2 (2018), 283–317  isi  scopus 11
20. A. V. Tikhonravov, I. V. Kochikov, I. A. Matvienko, T. F. Isaev, D. V. Lukyanenko, S. A. Sharapova, A. G. Yagola, “Correlation of errors in optical coating production with broad band monitoring”, Num. Meth. Prog., 19:4 (2018),  439–448  mathnet 2
21. M. O. Korpusov, D. V. Lukyanenko, A. D. Nekrasov, “Analytic-numerical investigation of combustion in a nonlinear medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1553–1563  mathnet  elib; Comput. Math. Math. Phys., 58:9 (2018), 1499–1509  isi  scopus 3
2017
22. D. V. Luk'yanenko, V. T. Volkov, N. N. Nefedov, “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  mathnet  elib 8
23. N. T. Levashova, A. A. Melnikova, D. V. Luk'yanenko, A. E. Sidorova, S. V. Bytsura, “Modeling of ecosystems as a process of self-organization”, Matem. Mod., 29:11 (2017),  40–52  mathnet  elib 2
24. M. O. Korpusov, D. V. Lukyanenko, E. A. Ovsyannikov, A. A. Panin, “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  mathnet  elib 6
25. T. F. Isaev, D. V. Luk'yanenko, A. V. Tikhonravov, A. G. Yagola, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:5 (2017), 867–875  isi  scopus 9
2016
26. D. V. Lukyanenko, A. G. Yagola, “Some methods for solving of 3D inverse problem of magnetometry”, Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016),  4–14  mathnet
27. D. V. Lukyanenko, V. T. Volkov, N. N. Nefedov, L. Recke, K. Schneider, “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  mathnet  mathscinet  elib 9
28. D. V. Luk'yanenko, A. A. Panin, “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  mathnet 6
29. Y. Wang, D. V. Luk'yanenko, A. G. Yagola, “Regularized inversion of full tensor magnetic gradient data”, Num. Meth. Prog., 17:1 (2016),  13–20  mathnet
2013
30. Y. Zhang, D. V. Luk'yanenko, A. G. Yagola, “Using Lagrange principle for solving linear ill-posed problems with a priori information”, Num. Meth. Prog., 14:4 (2013),  468–482  mathnet
2012
31. D. V. Luk'yanenko, A. G. Yagola, “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  mathnet  elib
32. Y. Wang, Y. Zhang, D. V. Luk'yanenko, A. G. Yagola, “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  mathnet
33. N. A. Evdokimova, D. V. Lukyanenko, A. G. Yagola, “Restoring Orientational Distribution Function of Particles”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14,  172–176  mathnet
2010
34. D. V. Luk'yanenko, A. G. Yagola, “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  mathnet 1
2009
35. N. A. Evdokimova, D. V. Luk'yanenko, A. G. Yagola, “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  mathnet
2021
36. I. V. Prigorniy, A. A. Panin, D. V. Lukyanenko, “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  mathnet

Presentations in Math-Net.Ru
1. Mathematical modeling, numerical methods and software package for solving three-dimensional inverse problems of magnetometry
D. V. Lukyanenko
Actual Problems of Applied Mathematics
December 1, 2023 17:00   
2. Îñîáåííîñòè ðåøåíèÿ îáðàòíûõ çàäà÷ äëÿ óðàâíåíèé òèïà ðåàêöèÿ-äèôôóçèÿ-àäâåêöèÿ ñ äàííûìè î ïîëîæåíèè ôðîíòà ðåàêöèè
D. V. Lukyanenko

August 10, 2021 17:50

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