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Tikhonravov, Aleksandr Vladimirovich
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 34

Number of views:
This page:1555
Abstract pages:8376
Full texts:3680
References:317
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person22466
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru Citations
2023
1. 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
2022
2. V. Yu. Martynova, Yu. G. Smirnov, A. V. Tikhonravov, “Optimization of parameters of multilayer diffraction gratings using needle variations”, University proceedings. Volga region. Physical and mathematical sciences, 2022, no. 4,  56–68  mathnet 1
2021
3. 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
4. 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
5. 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
6. I. V. Kochikov, A. V. Tikhonravov, A. G. Yagola, “Computational approach to the investigation of the error self-compensation effect in the deposition of multilayer optical coatings”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1045–1052  mathnet  elib; Comput. Math. Math. Phys., 60:6 (2020), 1017–1024  isi  scopus
2019
7. 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
8. 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
2018
9. 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
10. 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
11. G. F. Grigor'ev, V. B. Sulimov, A. V. Tikhonravov, “Effect of nanoparticles on the structure of thin films: atomistic simulation results”, Num. Meth. Prog., 19:2 (2018),  173–177  mathnet
2017
12. G. F. Grigor'ev, V. B. Sulimov, A. V. Tikhonravov, “Ring statistics in disordered solids: a parallel algorithm for clusters with hundred thousands of atoms”, Num. Meth. Prog., 18:4 (2017),  447–454  mathnet
13. G. F. Grigor'ev, V. B. Sulimov, A. V. Tikhonravov, “Mechanical losses in glassy silicon dioxide: results of atomistic simulation”, Num. Meth. Prog., 18:4 (2017),  381–386  mathnet
14. 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
15. G. F. Grigor'ev, V. B. Sulimov, A. V. Tikhonravov, “Surface roughness of thin film atomistic nanometer-size clusters”, Num. Meth. Prog., 17:4 (2016),  455–459  mathnet
2013
16. G. F. Grigor'ev, I. V. Kochikov, O. A. Kondakova, V. B. Sulimov, A. V. Tikhonravov, “An algorithm of high performance modeling of optical nanocoating deposition processes”, Num. Meth. Prog., 14:3 (2013),  323–327  mathnet
2012
17. A. V. Tikhonravov, I. V. Kochikov, T. V. Amochkina, F. V. Grigor'ev, O. A. Kondakova, V. B. Sulimov, “High performance modeling of modern deposition processes for optical coating nanotechnology”, Num. Meth. Prog., 13:4 (2012),  491–496  mathnet
2006
18. A. V. Tikhonravov, M. K. Trubetskov, N. A. Winfree, J. H. Kang, “Low-frequency approximation and the choice of optimal elastic parameters for two-layer blast protection jackets”, Num. Meth. Prog., 7:1 (2006),  23–35  mathnet
2005
19. A. V. Tikhonravov, M. K. Trubetskov, “Stabilization of computational algorithms for the characterization of thin film coatings”, Num. Meth. Prog., 6:1 (2005),  109–117  mathnet
1996
20. K. V. Popov, A. V. Tikhonravov, “New uniqueness classes for determining the parameters of a stratified medium from its energy reflectance”, Zh. Vychisl. Mat. Mat. Fiz., 36:11 (1996),  162–172  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:11 (1996), 1625–1633  isi
1995
21. A. G. Sveshnikov, A. V. Tikhonravov, M. K. Trubetskov, “Non-local optimization method for multilayer optical systems”, Matem. Mod., 7:8 (1995),  105–127  mathnet  mathscinet  zmath 1
1993
22. A. N. Tikhonov (jr.), A. V. Tikhonravov, M. K. Trubetskov, “Second-order optimization methods in the synthesis of multilayer coatings”, Zh. Vychisl. Mat. Mat. Fiz., 33:10 (1993),  1518–1535  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:10 (1993), 1339–1352  isi 1
23. I. V. Zuev, A. V. Tikhonravov, “Uniqueness of the determination of the parameters of a layered medium from the reflection energy coefficient”, Zh. Vychisl. Mat. Mat. Fiz., 33:3 (1993),  428–438  mathnet  mathscinet; Comput. Math. Math. Phys., 33:3 (1993), 387–395  isi 3
1991
24. A. A. Bykov, V. Yu. Popov, A. V. Tikhonravov, “The scattering of plane wave on columnar structure of thin films”, Matem. Mod., 3:9 (1991),  31–40  mathnet
1989
25. M. P. Belyanin, A. B. Vasil'eva, A. V. Voronov, A. V. Tikhonravov, “An asymptotic approach to the synthesis of a semiconductor device”, Matem. Mod., 1:9 (1989),  43–63  mathnet  mathscinet  zmath 1
26. A. G. Sveshnikov, A. V. Tikhonravov, “Mathematical methods for analysis and synthesis of layered media”, Matem. Mod., 1:7 (1989),  13–38  mathnet  mathscinet  zmath 2
1988
27. S. Yu. Kovenskii, A. V. Tikhonravov, “Synthesis of absorbing layered media”, Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  887–900  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 178–186 2
1985
28. A. V. Tikhonravov, “Stable method of solution of problems of synthesis of stratified media”, Dokl. Akad. Nauk SSSR, 283:3 (1985),  582–585  mathnet  mathscinet
29. A. V. Tikhonravov, “Problems of optimal control connected with synthesis of laminar media”, Differ. Uravn., 21:9 (1985),  1516–1523  mathnet  mathscinet 2
30. A. V. Tikhonravov, “Synthesis of stratified media with given amplitude-phase properties”, Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1674–1688  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 55–64
31. A. V. Tikhonravov, “Amplitude-phase properties of spectral coefficients of stratified media”, Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985),  442–450  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 77–83 10
1983
32. A. G. Sveshnikov, A. V. Tikhonravov, S. A. Yanshin, “Synthesis of optical coverings in oblique incidence of light”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983),  929–935  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 100–104 4
1982
33. A. V. Tikhonravov, “Theoretically attainable exactness of the solution of a synthesis problem”, Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1421–1433  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 22:6 (1982), 143–157 3
1974
34. V. B. Glasko, A. Tychonoff, A. V. Tikhonravov, “The synthesis of multilayer coverings”, Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  135–144  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 135–143 11
1985
35. S. A. Gabov, A. A. Samarskii, A. N. Tikhonov, A. V. Tikhonravov, “Aleksei Georgievich Sveshnikov (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 40:6(246) (1985),  163–164  mathnet  mathscinet; Russian Math. Surveys, 40:6 (1985), 147–149 1

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