Persons
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Yagola, Anatolii Grigor'evich
Statistics Math-Net.Ru
Total publications: 74
Scientific articles: 71
Presentations: 3

Number of views:
This page:2908
Abstract pages:15058
Full texts:5907
References:540
Professor
Doctor of physico-mathematical sciences (1982)
Birth date: 20.11.1945
E-mail: ,

https://www.mathnet.ru/eng/person30313
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/199630

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
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 3
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 4
5. A. S. Leonov, N. N. Nefedov, A. N. Sharov, A. G. Yagola, ““Fast” solution of the three-dimensional inverse problem of quasi-static elastography with the help of the small parameter method”, Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023),  449–464  mathnet  elib; Comput. Math. Math. Phys., 63:3 (2023), 425–440 1
2022
6. A. S. Leonov, N. N. Nefedov, A. N. Sharov, A. G. Yagola, “Solution of the two-dimensional inverse problem of quasistatic elastography with the help of the small parameter method”, Zh. Vychisl. Mat. Mat. Fiz., 62:5 (2022),  854–860  mathnet  elib; Comput. Math. Math. Phys., 62:5 (2022), 827–833  scopus 1
2021
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
2017
17. G. M. Kuramshina, A. G. Yagola, “Applications of regularizing algorithms in structural chemistry”, Eurasian Journal of Mathematical and Computer Applications, 5:3 (2017),  53–72  mathnet
18. 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
19. G. M. Kuramshina, A. G. Yagola, “Regularizing algorithms for solving nonlinear ill-posed problems of vibrational spectroscopy”, Eurasian Journal of Mathematical and Computer Applications, 4:4 (2016),  14–36  mathnet
20. 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
21. 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
22. 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
23. 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
24. 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
25. Yu. M. Korolev, A. G. Yagola, “Error estimation in linear inverse problems with prior information”, Num. Meth. Prog., 13:1 (2012),  14–18  mathnet
26. 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
2011
27. N. A. Koshev, N. A. Orlikovsky, E. I. Rau, A. G. Yagola, “Solution of the inverse problem of restoring the signals from an electronic microscope in the backscattered electron mode on the class of bounded variation functions”, Num. Meth. Prog., 12:3 (2011),  362–367  mathnet
2010
28. A. G. Yagola, “Ill-posed problems with apriori information”, Sib. Èlektron. Mat. Izv., 7 (2010),  343–361  mathnet 4
29. 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
30. 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
2008
31. A. G. Yagola, N. A. Koshev, “Restoration of smeared and defocused color images”, Num. Meth. Prog., 9:3 (2008),  207–212  mathnet
2006
32. T. S. Usmanov, A. S. Usmanov, S. M. Usmanov, A. G. Yagola, “Inverse problems of formation for the molecular-weight distribution in polymerization processes”, Num. Meth. Prog., 7:4 (2006),  294–299  mathnet
2005
33. D. V. Zotyev, S. M. Usmanov, E. D. Shakiryanov, A. G. Yagola, “Solution of the inverse problem of self-diffusion in composite polymeric systems in the presence of information given a priori”, Num. Meth. Prog., 6:1 (2005),  249–252  mathnet 1
34. N. N. Nikolaeva, S. V. Ruchkin, M. N. Rychagov, A. G. Yagola, “Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles”, Num. Meth. Prog., 6:1 (2005),  9–16  mathnet 1
2004
35. I. V. Kochikov, G. M. Kuramshina, A. V. Stepanova, A. G. Yagola, “Numerical aspects of the calculation of scaling factors from experimental data”, Num. Meth. Prog., 5:1 (2004),  281–290  mathnet 1
36. N. N. Nikolaeva, M. N. Rychagov, V. N. Titarenko, A. G. Yagola, “Error estimation for symmetric velocity profiles reconstructed from multi-path flow measurements”, Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004),  18–29  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:1 (2004), 16–26 4
2003
37. N. N. Nikolaeva, V. N. Titarenko, A. G. Yagola, “Error estimation for solution of Abel equation on sets of monotonic and convex functions”, Sib. Zh. Vychisl. Mat., 6:2 (2003),  171–180  mathnet  zmath 14
38. M. P. Vasil'ev, A. G. Yagola, “The solution of two-dimensional Fredholm integral equations of the first kind with multiprocessor systems”, Num. Meth. Prog., 4:1 (2003),  323–326  mathnet 1
39. N. V. Anikeeva, I. V. Kochikov, G. M. Kuramshina, A. G. Yagola, “Regularizing algorithms for constructing intermolecular potentials on the basis of experimental data”, Num. Meth. Prog., 4:1 (2003),  200–206  mathnet
40. D. V. Zotyev, M. N. Filippov, A. G. Yagola, “On an inverse problem of quantitative electron probe microanalysis”, Num. Meth. Prog., 4:1 (2003),  26–32  mathnet 3
41. K. Yu. Dorofeev, V. N. Titarenko, A. G. Yagola, “Algorithms for constructing a posteriori errors of solutions to ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 43:1 (2003),  12–25  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:1 (2003), 10–23 16
2002
42. A. G. Yagola, V. N. Titarenko, M. P. Vasil'ev, E. V. Shimanovskaya, “Some features of solving the problems of mapping for allocation of chemical elements on stellar surfaces as ill-posed problems with the use of multiprocessor systems”, Num. Meth. Prog., 3:1 (2002),  1–13  mathnet 1
2001
43. A. S. Leonov, A. G. Yagola, “Adaptive optimal algorithms for ill-posed problems with sourcewise represented solutions”, Zh. Vychisl. Mat. Mat. Fiz., 41:6 (2001),  855–873  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:6 (2001), 807–824 2
2000
44. V. N. Titarenko, A. G. Yagola, “A method to cut convex polyhedrons and its application to ill-posed problems”, Num. Meth. Prog., 1:1 (2000),  8–13  mathnet 3
1998
45. A. S. Leonov, A. G. Yagola, “Optimal methods for solving ill-posed problems with sourcewise representated solutions”, Fundam. Prikl. Mat., 4:3 (1998),  1029–1046  mathnet  mathscinet  zmath
1990
46. A. S. Dostovalova, I. V. Kochikov, G. M. Kuramshina, A. G. Yagola, “Simultaneous calculation of force fields for series of polyatomic molecules”, Dokl. Akad. Nauk SSSR, 315:6 (1990),  1368–1373  mathnet 1
1989
47. S. K. Likharev, E. I. Rau, V. P. Trifonenkov, A. G. Yagola, “Microtomography of semiconductor structure in the regime of induced current”, Dokl. Akad. Nauk SSSR, 307:4 (1989),  840–844  mathnet
1987
48. I. V. Kochikov, G. M. Kuramshina, A. G. Yagola, “Stable numerical methods for solving certain inverse problems of vibrational spectroscopy”, Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1651–1661  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 33–40 13
49. I. V. Kochikov, A. N. Matvienko, A. G. Yagola, “A method of regularization for solving inconsistent nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  456–458  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 91–92
1985
50. I. V. Kochikov, G. M. Kuramshina, Yu. A. Pentin, A. G. Yagola, “Calculation of force fields of polyatomic molecules by the Tikhonov regularization method”, Dokl. Akad. Nauk SSSR, 283:4 (1985),  850–854  mathnet 1
1984
51. I. V. Kochikov, A. N. Matvienko, A. G. Yagola, “The generalized residual principle for the solution of inconsistent equations”, Zh. Vychisl. Mat. Mat. Fiz., 24:7 (1984),  1087–1090  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 78–80 14
1983
52. I. V. Kochikov, A. N. Matvienko, A. G. Yagola, “A modification of the generalized residual principle”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983),  1298–1303  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 10–13
1981
53. I. V. Kochikov, G. M. Kuramshina, Yu. A. Pentin, A. G. Yagola, “A regularizing algorithm for solving an inverse oscillation problem”, Dokl. Akad. Nauk SSSR, 261:5 (1981),  1104–1106  mathnet  mathscinet 1
1980
54. A. N. Tikhonov, A. V. Goncharsky, A. M. Cherepashchuk, A. G. Yagola, “On the nature of Wolf–Rayet stars”, Dokl. Akad. Nauk SSSR, 253:3 (1980),  572–576  mathnet
55. A. G. Yagola, “On the solution of nonlinear ill-posed problems by means of the generalized residual method”, Dokl. Akad. Nauk SSSR, 252:4 (1980),  810–813  mathnet  mathscinet  zmath
56. A. G. Yagola, “On the choice of regularization parameter when solving ill-posed problems in reflexive spaces”, Zh. Vychisl. Mat. Mat. Fiz., 20:3 (1980),  586–596  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:3 (1980), 40–52 8
1979
57. A. G. Yagola, “A generalized residual principle in reflexive spaces”, Dokl. Akad. Nauk SSSR, 249:1 (1979),  71–73  mathnet  mathscinet  zmath 1
58. A. G. Yagola, “On the choice of regularization parameter from the generalized residual principle”, Dokl. Akad. Nauk SSSR, 245:1 (1979),  37–39  mathnet  mathscinet  zmath
1976
59. V. A. Vinokurov, A. V. Goncharsky, S. V. Cheslavskii, A. G. Yagola, “A numerical study of the fundamental equation of superconductivity”, Dokl. Akad. Nauk SSSR, 231:4 (1976),  837–840  mathnet  mathscinet
1975
60. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “The applicability of the principle of the residual in the case of nonlinear ill-posed problems, and a new regularizing algorithm for their solution”, Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  290–297  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:2 (1975), 8–16
1974
61. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “On the residual principle for solving nonlinear ill-posed problems”, Dokl. Akad. Nauk SSSR, 214:3 (1974),  499–500  mathnet  mathscinet  zmath
62. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “The regularization of ill-posed problems with approximately given operator”, Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  1022–1027  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:4 (1974), 195–201 3
63. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “Finite difference approximation of linear ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  15–24  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 14–23 4
1973
64. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “A generalized residual principle”, Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973),  294–302  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:2 (1973), 25–37 38
1972
65. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “A generalization of the discrepancy principle for the case of an operator specified with an error”, Dokl. Akad. Nauk SSSR, 203:6 (1972),  1238–1239  mathnet  mathscinet  zmath 1
66. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “A certain regularizing algorithm for ill-posed problems with an approximately given operator”, Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1592–1594  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:6 (1972), 286–290 9
67. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “Certain estimates of the rate of convergence of regularized approximations for equations of convolution type”, Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972),  762–770  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 243–254 2
68. A. V. Goncharskii, L. G. Gushchina, A. S. Leonov, A. G. Yagola, “Certain algorithms for finding the approximate solution of ill-posed problems on a set of monotone functions”, Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  283–297  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:2 (1972), 1–18 1
1971
69. A. V. Goncharsky, A. G. Yagola, A. S. Leonov, “The solution of two-dimensional Fredholm integral equations of the first kind with a kernel that depends on the difference of the arguments”, Zh. Vychisl. Mat. Mat. Fiz., 11:5 (1971),  1296–1301  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:5 (1971), 253–260 3
1970
70. A. V. Goncharsky, A. G. Yagola, “The solution of integral equations of the form $\int_a^bK(x,s)\,dg(s)=u(x)$”, Dokl. Akad. Nauk SSSR, 193:2 (1970),  266–267  mathnet  mathscinet  zmath
1969
71. A. V. Goncharsky, A. G. Yagola, “The uniform approximation of a monotonic solution of ill-posed problems”, Dokl. Akad. Nauk SSSR, 184:4 (1969),  771–773  mathnet  mathscinet  zmath 1
2020
72. V. F. Butuzov, A. A. Bykov, I. E. Mogilevskii, Yu. V. Mukhartova, N. N. Nefedov, A. G. Sveshnikov, D. D. Sokoloff, N. A. Tikhonov, N. E. Shapkina, A. G. Yagola, “К семидесятипятилетию Александра Николаевича Боголюбова”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1451–1452  mathnet  elib
73. A. N. Bogolyubov, G. M. Kobel'kov, V. V. Kozlov, V. P. Maslov, E. I. Moiseev, N. N. Nefedov, N. A. Tikhonov, D. D. Sokoloff, A. G. Yagola, “К восьмидесятилетию Валентина Фёдоровича Бутузова”, Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020),  169–170  mathnet  elib
2015
74. V. F. Butuzov, A. A. Bykov, A. L. Delitsyn, M. K. Kerimov, I. E. Mogilevskii, Yu. V. Mukhartova, N. N. Nefedov, A. G. Sveshnikov, D. D. Sokoloff, N. A. Tikhonov, N. E. Shapkina, A. G. Yagola, “On the 70th anniversary of birthday of Professor Aleksandr Nikolaevich Bogolyubov”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1635–1636  mathnet  elib

Presentations in Math-Net.Ru
1. Joint data processing of gravimetric and magnetometric data in geophysics
A. G. Yagola
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 5, 2023 11:25   
2. Лев Дмитриевич Кудрявцев и Научно-методический совет по математике Минобрнауки России
S. A. Rozanova, A. G. Yagola
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 15, 2023 11:30   
3. К итогам 8-го Международного съезда по математическому анализу и его применениям (ISAAC) (Москва, 22–27 августа 2011 года)
V. I. Burenkov, A. I. Kirillov, S. A. Rozanova, V. I. Savchin, A. G. Yagola
Meetings of the Section of Mathematics, Central House of Scientists of the Russian Academy of Sciences
October 20, 2011 18:30

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