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Vladimir V. Vasin

Vladimir V. Vasin
http://www.imm.uran.ru
Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russian Federation

Department of Ill-Posed Problems of Analysis and Applications, Сhief Researcher

Corresponding Member of RAS, PhD (Phys., Math.), Professor

ScopusID:  55667072600

ResearcherID: L-5347-2017

ORCID ID: 0000-0003-2828-5290

Scientific interests: Computational Mathematics, Numerical Functional Analysis, Theory And Methods for Solving Ill-Posed Problems

Scientific achievements: Methods of discrete approximation of regularizing algorithms for ill-posed problems, iteratively-approximate methods for solving unstable problem of optimization, the methods of iterative regularization for linear and nonlinear operator equations and its applications to prospecting and well geophysics and sounding atmosphere, methods of constructing stable algorithms for solving ill-posed problems with a priori information and its applications to the problems of computational diagnosis, the Fejer iterative processes for approximation of solutions of the inverse problems were developed.

Main publications:

  1. Vasin V.V. Regularization of ill-posed problems by using stabilizers in the form of the total variation of a function and its derivatives // J. Inverse Ill-Posed Probl., 2016. Vol. 24, Issue 2. P. 149–158. DOI: 10.1515/jiip-2015-0050
  2. Skorik G.G., Vasin V.V., Kuchuk F. A new technique for solving pressure-rate deconvolution problem in pressure transient testing // J. Eng. Math., 2016. Vol. 101, Issue 1. P. 189–200.  DOI: 10.1007/S10665-016-9854-x
  3. Vasin V.V. Regularized modified a-processes for nonlinear equations with monotone operators // Dokl. Math., 2016. Vol. 94, no. 1. P. 361–364. DOI: 10.1134/S1064562416040062
  4. Vasin V.V. Methods for solving nonlinear ill-posed problems based on the Tikhonov-Lavrentiev regularization and iterative approximation // Eurasian J.Math. Comput. Appl., 2016. Vol. 4, No 4. P. 60–73.
  5. Vasin V.V. Modified steepest descent method for nonlinear irregular operator equations // Dokl. Math., 2015. Vol. 91, No. 3. P. 300–303. DOI: 10.1134/S1064562415030187
  6. Vasin V.V., Soboleva E.O. Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kind // Proc. Steklov Inst. Math. (Suppl.), 2015. Vol. 289, suppl. 1. P. 216–226. DOI: 10.1134/S008154381505020X
  7. Vasin V. and  George S. Expanding the applicability of Tikhonov’s regularization and iterative approximation for ill-posed problems // J. Inverse & Ill-Posed Problems., 2014. Vol. 22, no. 4. P. 593–607. DOI: 10.1515/jip-2013-0025.
  8. Vasin V. and George S. An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems problems // Applied Mathematics and Computation, 2014. Vol. 230. P. 406–413. DOI: 10.1016/j.amc.2013.12.104