V. Vasin

Most-cited papers

1. Relationship of several variational methods for the approximate solution of ill-posed problems

   V. Vasin

   197036 citations

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2. The stable evaluation of a derivative in space C(

   V. Vasin

   197331 citations

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3. An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems

   V. Vasin, S. George

   2014Applied Mathematics and Computation26 citations

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4. Some tendencies in the Tikhonov regularization of ill-posed problems

   V. Vasin

   200625 citations

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5. Discrete convergence and finite-dimensional approximation of regularizing algorithms

   V. Vasin

   197916 citations

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6. Sensing HDO/H2O in the Ural’s atmosphere using ground-based measurements of IR solar radiation with a high spectral resolution

   Konstantin Gribanov, V. Zakharov, S. Beresnev, N. Rokotyan +5 more

   201114 citations

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7. Iterative methods for solving ill-posed problems with a prior information in Hilbert spaces

   V. Vasin

   199014 citations

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8. The levenberg-marquardt method for approximation of solutions of irregular operator equations

   V. Vasin

   201213 citations

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9. ON THE CONVERGENCE OF GRADIENT-TYPE METHODS FOR NONLINEAR EQUATIONS

   V. Vasin

   199813 citations

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10. Discrete approximation and stability in extremal problems

    V. Vasin

    198213 citations

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11. The Levenberg-Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem

    V. Vasin, G. Y. Perestoronina

    201312 citations Open access

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12. Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations

    V. Vasin

    201410 citations

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13. Modified steepest descent method for nonlinear irregular operator equations

    V. Vasin

    20159 citations

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14. Regularization And Iterative Approximation For Linear Ill-Posed Problems In The Space Of Functions Of Bounded Variation

    V. Vasin

    20029 citations

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15. Regularized modified α-processes for nonlinear equations with monotone operators

    V. Vasin

    20168 citations

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16. Reconstruction of smooth and discontinuous components of solutions to linear ill-posed problems

    V. Vasin

    20138 citations

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17. Two-Stage Method of Construction of Regularizing Algorithms for Nonlinear Ill-Posed Problems

    V. Vasin, A. Skurydina

    2018Proceedings of the Steklov Institute of Mathematics7 citations

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18. Approximation of Solution Components for Ill-Posed Problems by the Tikhonov Method with Total Variation

    V. Vasin, V. Belyaev

    20186 citations

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19. Approximation of solutions with singularities of various types for linear ill-posed problems

    V. Vasin

    20146 citations

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20. Regular methods of solution of ill-posed problems for remote sensing of Earth atmosphere using high-resolution spectrometry

    V. Vasin, Konstantin Gribanov, V. Zakharov, E. Akimova +2 more

    2006Symposium on High-Resolution Molecular Spectroscopy6 citations

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21. Expanding the applicability of Tikhonov's regularization and iterative approximation for ill-posed problems

    V. Vasin, S. George

    20135 citations

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22. The method of quasi-solutions by Ivanov is the effective method of solving ill-posed problems

    V. Vasin

    20085 citations

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23. Monotone iterative processes for nonlinear operator equations and their applications to Volterra equations

    V. Vasin

    19965 citations

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24. Iterative Processes for Ill-Posed Problems with a Monotone Operator

    V. Vasin

    2019Siberian Advances in Mathematics4 citations

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25. Approximation of nonsmooth solutions of linear ill-posed problems

    V. Vasin

    20064 citations

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26. Stable approximation of nonsmooth solutions to ill-posed problems

    V. Vasin

    20054 citations

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27. Retrieval of vertical profiles of water vapor isotopes in the atmosphere based on infrared transmittance spectra of sunlight

    G. Skorik, V. Vasin, K. Gribanov, J. Jouzel +2 more

    2014Doklady earth sciences3 citations

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28. On the 75th birthday of Academician of the Russian Academy of Sciences Yurii Sergeevich Osipov

    N. Krasovskii, I. I. Eremin, A. Il'in, A. Kryazhimskii +10 more

    20123 citations

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29. Some approaches to reconstruction of nonsmooth solutions of linear ill-posed problems

    V. Vasin

    20073 citations

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30. Numerical comparison of iterative regularization methods for a parameter estimation problem in a hyperbolic PDE

    S. Kabanikhin, R. Kowar, O. Scherzer, V. Vasin

    20013 citations

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31. On the β-convergence of the projection method for non-linear operator equations

    V. Vasin

    19723 citations

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32. Solving Nonlinear Inverse Problems Based on the Regularized Modified Gauss–Newton Method

    V. Vasin

    2022Doklady. Mathematics2 citations Open access

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33. METHODS FOR SOLVING NONLINEAR ILL-POSED PROBLEMS BASED ON THE TIKHONOV-LAVRENTIEV REGULARIZATION AND ITERATIVE APPROXIMATION

    V. Vasin, Ekaterinburg Russia Mechanics Ub Ras

    20162 citations

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34. Two-Stage Approximation of Nonsmooth Solutions and Restoration of Noised Images

    V. Vasin, I. I. Serezhnikova

    20042 citations

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35. Iterative approximation of solutions of nonlinear unstable problems in a Hilbert space

    A. Smirnova, V. Vasin

    19932 citations

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36. Two-Stage Method for Solving Systems of Nonlinear Equations and Its Applications to the Inverse Atmospheric Sounding Problem

    V. Vasin, G. Skorik

    2020Doklady. Mathematics1 citations

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37. Analysis of a Regularization Algorithmfor a Linear Operator Equation Containinga Discontinuous Component of the Solution

    V. Vasin, V. Belyaev

    20201 citations

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38. Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kind

    V. Vasin, E. Soboleva

    20151 citations

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39. Modified steepest descent method for nonlinear irregular operator equations

    V. Vasin

    2015Doklady. Mathematics1 citations

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40. Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations

    V. Vasin

    2014Proceedings of the Steklov Institute of Mathematics1 citations

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41. The levenberg-marquardt method for approximation of solutions of irregular operator equations

    V. Vasin

    2012Automation and remote control1 citations

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42. Valentin Konstantinovich Ivanov (obituary)

    M. M. Lavrent'ev, N. Krasovskii, Y. Osipov, A. Tikhonov +3 more

    19931 citations

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43. Regular Methods of Solving Inverse Problems in Spectroscopy

    V. Vasin

    19831 citations

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44. Stable discretization of extremal problems and its applications in mathematical programming

    V. Vasin

    19821 citations

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45. On the stability of projection methods for solving incorrectly posed problems

    V. Vasin, V. P. Tanana

    19751 citations

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46. Analysis of a Regularization Algorithmfor a Linear Operator Equation Containinga Discontinuous Component of the Solution

    V. Vasin, V. Belyaev

    2020Proceedings of the Steklov Institute of Mathematics0 citations

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47. Iterative Fejér Processes in Ill-Posed Problems

    V. Vasin

    2020Computational Mathematics and Mathematical Physics0 citations

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48. Iterative Processes for Ill-Posed Problems with a Monotone Operator

    V. Vasin

    2019Siberian Advances in Mathematics0 citations

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49. Two-Stage Method of Construction of Regularizing Algorithms for Nonlinear Ill-Posed Problems

    V. Vasin, A. Skurydina

    2018Proceedings of the Steklov Institute of Mathematics0 citations

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50. Approximation of Solution Components for Ill-Posed Problems by the Tikhonov Method with Total Variation

    V. Vasin, V. Belyaev

    2018Doklady. Mathematics0 citations

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