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PEOPLE

Yagola Anatolii Grigor'evich

Publications in Math-Net.Ru

  1. On variational settings of the inverse coefficient problems in magnetic hydrodynamics

    Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025),  1265–1276
  2. Choosing the broadband monitoring algorithm for the deposition process of optical coatings with accounting for the self-compensation effect of errors

    Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025),  515–527
  3. On the uniqueness of discrete gravity and magnetic potentials

    Zh. Vychisl. Mat. Mat. Fiz., 65:3 (2025),  376–389
  4. "Fast" algorithm for solving some three-dimensional inverse problems of magnetometry

    Mat. Model., 36:1 (2024),  41–58
  5. Nonlinear inverse problems of vibrational spectroscopy

    Num. Meth. Prog., 25:special issue (2024),  62–81
  6. On the uniqueness of the finite-difference analogues of the fundamental solution of the heat equation and the wave equation in discrete potential theory

    Zh. Vychisl. Mat. Mat. Fiz., 64:12 (2024),  2378–2389
  7. 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
  8. 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
  9. On the uniqueness of determining the mesh fundamental solution of Laplace’s equation in the theory of discrete potential

    Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1253–1267
  10. 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
  11. 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
  12. Algorithm for controlling the process of spraying optical coatings based on sample broadband measurement data

    Sib. Zh. Ind. Mat., 26:3 (2023),  169–178
  13. 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
  14. 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
  15. “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
  16. 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
  17. 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
  18. On phase correction in tomographic research

    Sib. Zh. Ind. Mat., 23:4 (2020),  18–29
  19. 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
  20. Stable method for optical monitoring the deposition of multilayer optical coatings

    Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2122–2130
  21. 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
  22. Reconstruction of magnetic susceptibility using full magnetic gradient data

    Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1027–1034
  23. 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
  24. Comparison of algorithms for determining the thickness of optical coatings online

    Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019),  494–504
  25. 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
  26. Correlation of errors in optical coating production with broad band monitoring

    Num. Meth. Prog., 19:4 (2018),  439–448
  27. Applications of regularizing algorithms in structural chemistry

    Eurasian Journal of Mathematical and Computer Applications, 5:3 (2017),  53–72
  28. 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
  29. Regularizing algorithms for solving nonlinear ill-posed problems of vibrational spectroscopy

    Eurasian Journal of Mathematical and Computer Applications, 4:4 (2016),  14–36
  30. Some methods for solving of 3D inverse problem of magnetometry

    Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016),  4–14
  31. Regularized inversion of full tensor magnetic gradient data

    Num. Meth. Prog., 17:1 (2016),  13–20
  32. Using Lagrange principle for solving linear ill-posed problems with a priori information

    Num. Meth. Prog., 14:4 (2013),  468–482
  33. 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
  34. 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
  35. Error estimation in linear inverse problems with prior information

    Num. Meth. Prog., 13:1 (2012),  14–18
  36. Restoring Orientational Distribution Function of Particles

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14,  172–176
  37. 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
  38. Ill-posed problems with apriori information

    Sib. Èlektron. Mat. Izv., 7 (2010),  343–361
  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. Restoration of smeared and defocused color images

    Num. Meth. Prog., 9:3 (2008),  207–212
  42. Inverse problems of formation for the molecular-weight distribution in polymerization processes

    Num. Meth. Prog., 7:4 (2006),  294–299
  43. 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
  44. Numerical simulation of the problem on the two-dimensional reconstruction of axisymmetric flow velocity profiles

    Num. Meth. Prog., 6:1 (2005),  9–16
  45. Numerical aspects of the calculation of scaling factors from experimental data

    Num. Meth. Prog., 5:1 (2004),  281–290
  46. Error estimation for symmetric velocity profiles reconstructed from multi-path flow measurements

    Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004),  18–29
  47. Error estimation for solution of Abel equation on sets of monotonic and convex functions

    Sib. Zh. Vychisl. Mat., 6:2 (2003),  171–180
  48. The solution of two-dimensional Fredholm integral equations of the first kind with multiprocessor systems

    Num. Meth. Prog., 4:1 (2003),  323–326
  49. Regularizing algorithms for constructing intermolecular potentials on the basis of experimental data

    Num. Meth. Prog., 4:1 (2003),  200–206
  50. On an inverse problem of quantitative electron probe microanalysis

    Num. Meth. Prog., 4:1 (2003),  26–32
  51. Algorithms for constructing a posteriori errors of solutions to ill-posed problems

    Zh. Vychisl. Mat. Mat. Fiz., 43:1 (2003),  12–25
  52. 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
  53. Adaptive optimal algorithms for ill-posed problems with sourcewise represented solutions

    Zh. Vychisl. Mat. Mat. Fiz., 41:6 (2001),  855–873
  54. A method to cut convex polyhedrons and its application to ill-posed problems

    Num. Meth. Prog., 1:1 (2000),  8–13
  55. Optimal methods for solving ill-posed problems with sourcewise representated solutions

    Fundam. Prikl. Mat., 4:3 (1998),  1029–1046
  56. Simultaneous calculation of force fields for series of polyatomic molecules

    Dokl. Akad. Nauk SSSR, 315:6 (1990),  1368–1373
  57. Microtomography of semiconductor structure in the regime of induced current

    Dokl. Akad. Nauk SSSR, 307:4 (1989),  840–844
  58. Stable numerical methods for solving certain inverse problems of vibrational spectroscopy

    Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1651–1661
  59. A method of regularization for solving inconsistent nonlinear operator equations

    Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  456–458
  60. Calculation of force fields of polyatomic molecules by the Tikhonov regularization method

    Dokl. Akad. Nauk SSSR, 283:4 (1985),  850–854
  61. The generalized residual principle for the solution of inconsistent equations

    Zh. Vychisl. Mat. Mat. Fiz., 24:7 (1984),  1087–1090
  62. A modification of the generalized residual principle

    Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983),  1298–1303
  63. A regularizing algorithm for solving an inverse oscillation problem

    Dokl. Akad. Nauk SSSR, 261:5 (1981),  1104–1106
  64. On the nature of Wolf–Rayet stars

    Dokl. Akad. Nauk SSSR, 253:3 (1980),  572–576
  65. On the solution of nonlinear ill-posed problems by means of the generalized residual method

    Dokl. Akad. Nauk SSSR, 252:4 (1980),  810–813
  66. On the choice of regularization parameter when solving ill-posed problems in reflexive spaces

    Zh. Vychisl. Mat. Mat. Fiz., 20:3 (1980),  586–596
  67. A generalized residual principle in reflexive spaces

    Dokl. Akad. Nauk SSSR, 249:1 (1979),  71–73
  68. On the choice of regularization parameter from the generalized residual principle

    Dokl. Akad. Nauk SSSR, 245:1 (1979),  37–39
  69. A numerical study of the fundamental equation of superconductivity

    Dokl. Akad. Nauk SSSR, 231:4 (1976),  837–840
  70. 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
  71. On the residual principle for solving nonlinear ill-posed problems

    Dokl. Akad. Nauk SSSR, 214:3 (1974),  499–500
  72. The regularization of ill-posed problems with approximately given operator

    Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  1022–1027
  73. Finite difference approximation of linear ill-posed problems

    Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  15–24
  74. A generalized residual principle

    Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973),  294–302
  75. 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
  76. A certain regularizing algorithm for ill-posed problems with an approximately given operator

    Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1592–1594
  77. 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
  78. 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
  79. 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
  80. 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
  81. The uniform approximation of a monotonic solution of ill-posed problems

    Dokl. Akad. Nauk SSSR, 184:4 (1969),  771–773

  82. Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)

    Chebyshevskii Sb., 25:2 (2024),  5–19
  83. К семидесятипятилетию Александра Николаевича Боголюбова

    Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1451–1452
  84. К восьмидесятилетию Валентина Фёдоровича Бутузова

    Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020),  169–170
  85. On the 70th anniversary of birthday of Professor Aleksandr Nikolaevich Bogolyubov

    Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1635–1636

© Steklov Math. Inst. of RAS, 2026