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Vasin Vladimir Vasil'evich

Publications in Math-Net.Ru

  1. Constrained convex minimization methods generating regularizing algorithms

    Trudy Inst. Mat. i Mekh. UrO RAN, 31:4 (2025),  71–84
  2. A two-stage method for solving a nonlinear ill-posed operator equation and its application to the inverse problem of thermal sounding of the atmosphere

    Ural Math. J., 11:2 (2025),  239–248
  3. Fejér-Type Iterative Processes in the Constrained Quadratic Minimization Problem

    Trudy Inst. Mat. i Mekh. UrO RAN, 29:3 (2023),  26–41
  4. Erratum to: Several Articles in Doklady Mathematics

    Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  404–405
  5. Solving nonlinear inverse problems based on the regularized modified Gauss–Newton method

    Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022),  47–50
  6. Two-stage method for solving systems of nonlinear equations and its applications to the inverse atmospheric sounding problem

    Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  17–20
  7. Iterative Fejér processes in ill-posed problems

    Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  963–974
  8. Regularized Newton type method for retrieval of heavy water in atmosphere by IR–spectra of the solar light transmission

    Eurasian Journal of Mathematical and Computer Applications, 7:2 (2019),  79–88
  9. Analysis of a Regularization Algorithm for a Linear Operator Equation Containing a Discontinuous Component of the Solution

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  34–44
  10. Iterative processes for ill-posed problems with a monotone operator

    Mat. Tr., 21:2 (2018),  117–135
  11. Modification of the tikhonov method under separate reconstruction of components of solution with various properties

    Eurasian Journal of Mathematical and Computer Applications, 5:2 (2017),  66–79
  12. A two-stage method of construction of regularizing algorithms for nonlinear ill-posed problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  57–74
  13. Methods for solving nonlinear ill-posed problems based on the Tikhonov-Lavrentiev regularization and iterative approximation

    Eurasian Journal of Mathematical and Computer Applications, 4:4 (2016),  60–73
  14. Solution of the deconvolution problem in the general statement

    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  79–90
  15. Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kind

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  63–73
  16. Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013),  85–97
  17. Iterative Newton Type Algorithms and Its Applications to Inverse Gravimetry Problem

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:3 (2013),  26–37
  18. The Levenberg–Marquardt method for approximation of solutions of irregular operator equations

    Avtomat. i Telemekh., 2012, no. 3,  28–38
  19. Levenberg–Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  53–61
  20. Iterative processes of the Fejér type in ill-posed problems with a prori information

    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 2,  3–24
  21. Methods for inverse magnitometry problem solving

    Sib. Èlektron. Mat. Izv., 5 (2008),  620–631
  22. The inverse problem of atmosphere thermal sounding

    Sib. Èlektron. Mat. Izv., 5 (2008),  518–523
  23. Concluding scientific report for the project of Siberian Division of RAS: “A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting”

    Sib. Èlektron. Mat. Izv., 5 (2008),  427–439
  24. On regular methods for solving the inverse gravity problems on massively parallel computing systems

    Num. Meth. Prog., 8:1 (2007),  103–112
  25. Approximation of nonsmooth solutions of linear ill-posed problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006),  64–77
  26. Two-stage approximation of nonsmooth solutions and restoration of noised images

    Avtomat. i Telemekh., 2004, no. 2,  126–135
  27. Direct and inverse problems of oblique radiosounding of ionosphere with waveguids

    Mat. Model., 16:3 (2004),  22–32
  28. Solution of gravity and magnetic three-dimensional inverse problems for three-layers medium

    Mat. Model., 15:2 (2003),  69–76
  29. Algorithms for solving direct and inverse problems of oblique radio-sounding ionosphere

    Mat. Model., 14:11 (2002),  23–32
  30. Regularization and iterative approximation for linear ill-posed problems in the space of functions of bounded variation

    Trudy Inst. Mat. i Mekh. UrO RAN, 8:1 (2002),  189–202
  31. On an algorithm for solving the Fredholm–Stieltjes equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 4,  3–10
  32. Solving nonlinear gravity inverse problem by gradient type methods

    Mat. Model., 11:10 (1999),  86–91
  33. Monotone iterative processes for operator equations in partially ordered spaces

    Dokl. Akad. Nauk, 349:1 (1996),  7–9
  34. Iterative regularization of monotone operator equations of the first kind in partially ordered $B$-spaces

    Dokl. Akad. Nauk, 341:2 (1995),  151–154
  35. Iterative regularization methods for ill-posed problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 11,  69–84
  36. Iterative approximation of the solution in a finite moment problem

    Dokl. Akad. Nauk SSSR, 318:5 (1991),  1042–1045
  37. Iterative methods for solving ill-posed problems with a priori information in Hilbert spaces

    Zh. Vychisl. Mat. Mat. Fiz., 28:7 (1988),  971–980
  38. Some methods of approximate solution of differential and integral equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 7,  13–27
  39. Stable discretization of extremal problems and its applications in mathematical programming

    Mat. Zametki, 31:2 (1982),  269–280
  40. Discrete approximation and stability in extremal problems

    Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982),  824–839
  41. A general scheme for discretization of regularizing algorithms in Banach spaces

    Dokl. Akad. Nauk SSSR, 258:2 (1981),  271–275
  42. Discrete convergence and finite-dimensional approximation of regularizing algorithms

    Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979),  11–21
  43. Stable approximation of infinite-dimensional problems of linear and convex programming

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 11,  23–33
  44. Optimality with respect to order of the regularization method for nonlinear operator equations

    Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977),  847–858
  45. The stability of projection methods in the solution of ill-posed problems

    Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975),  19–29
  46. Necessary and sufficient conditions for convergence of projection methods for linear unstable problems

    Dokl. Akad. Nauk SSSR, 215:5 (1974),  1032–1034
  47. The stable evaluation of a derivative in space $C(-\infty,\infty)$

    Zh. Vychisl. Mat. Mat. Fiz., 13:6 (1973),  1383–1389
  48. On the problem of computing the values of an unbounded operator in $B$-spaces

    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 5,  22–28
  49. The $\beta $-convergence of the projection method for nonlinear operator equations

    Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  492–497
  50. A certain projection method of solution of ill-posed problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 11,  28–32
  51. Relationship of several variational methods for the approximate solution of ill-posed problems

    Mat. Zametki, 7:3 (1970),  265–272
  52. Regularization of nonlinear partial differential equations

    Differ. Uravn., 4:12 (1968),  2268–2274

  53. Yurii Nikolaevich Subbotin (A Tribute to His Memory)

    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  9–16
  54. Leonid Aleksandrovich Aksent'ev

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  98–100
  55. Ivan Ivanovich Eremin

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  5–12
  56. International conference “Algorithmic analysis of unstable problems (AAUP-2011)”

    Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  329–333
  57. To the 75th anniversary of academician of Russian Academy of Sciences Yu. S. Osipov

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  5–6
  58. On the history of the Ural Conference on Ill-Posed Problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  279–281
  59. On the collaboration of Siberian and Ural mathematicians

    Sib. Èlektron. Mat. Izv., 4 (2007),  22–27
  60. Academician M. M. Lavrent'ev (on the occasion of his 75th birthday)

    Sib. Zh. Ind. Mat., 10:3 (2007),  3–12
  61. Valentin Konstantinovich Ivanov (obituary)

    Uspekhi Mat. Nauk, 48:5(293) (1993),  147–152
  62. Valentin Konstantinovich Ivanov (on the occasion of his eightieth birthday)

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10,  3–4

© Steklov Math. Inst. of RAS, 2026