Sergey Kadchenko

kadchenko

Nosov Magnitogorsk State Technical University

Applied Mathematics and Computer Science Department

38, Lenin street, Magnitogorsk, 455000, Chelyabinsk Region, Russia

http://www.magtu.ru

e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

EDUCATION

  • 1967 -1971     Rostov-on- Don State Pedagogical Institute, Major: Physics
  • 1985 Awarded an academic degree of the Candidate of Physics and Mathematics (PhD)
  • 2004 Awarded an academic degree of the Doctor of Physics and Mathematics
  • 2006 Awarded an academic rank of the Professor

RESEARCH EXPERIENCE

Mathematical simulation of complicated technological processes:

  • runaway of a unipolar energy storage unit with magnetohydrodynamic sliding supports,
  • cast iron crystallization in moulds when forming double layer rolls for rolling mills,
  • the non-isothermal stress-strain state of a surface plastic layer,
  • a non-isothermal process of spreading viscous fluid drops on solid cylindrical surfaces,
  • the stress-strain state of bars in their drawing.

Theoretical research to develop two new numerical methods of calculating eigenvalues and eigenfunctions of perturbed self-adjoint operators.

RESEARCH INTERESTS

  • Spectral theory of operators
  • Inverse spectral problems
  • Industrial mathematics

TEACHING AND EDUCATIONAL ACTIVITIES

Course Titles:

  • Modern numerical methods of mathematical physics
  • Mathematical simulation
  • Equations of mathematical physics
  • Theory of integral equations

PhD students:

  • Five PhD students defended their theses for an academic degree of the Candidate of Physics and Mathematics (PhD)

PUBLICATIONS

  1. Application of the protective coating by a frictional-mechanical method for increasing the durability of machines and materials. Journal for Technology of Plasticity, Vol. 21, 1996, no. 1-2.
  2. Calculation of the first eigenvalues of the boundary-value problem of hydrodynamic stability of a flow between two parallel planes at low Reynolds numbers. Proceedings of the Academy of Sciences, 1997, Vol. 355, no. 5, p. 600.
  3. Calculation of the first eigenvalues of a discrete operator. Electromagnetic waves and electronic systems, 1998, Vol. 3, no. 2, pp. 6 – 8.
  4. Calculation of the first eigenvalues of a boundary-value problem of the hydrodynamic stability of the Poiseuille flow in a round tube. Differential Equations, 1998, Vol. 34, no. 1, pp. 50 – 53.
  5. A regularized trace theory and calculation of the first eigenvalues of the Orr-Zomerfield boundary value problem. International conference on the operator theory and applications to scientific and industrial problems, the Institute of Industrial Mathematical Sciences, the University of Manitoba, Canada, 1998.
  6. Calculation of eigenvalues of a problem of the hydrodynamic stability of a viscous liquid flow between two rotating cylinders atlowReynolds numbers. Proceedings of the Academy of Sciences, 1998, Vol. 363, no. 6, pp. 748-750.
  7. Calculation of the first eigenvalues of the hydrodynamic stability problem for a viscous fluid flow between two rotating cylinders. Differential Equations, 2000, Vol. 36, no. 6, pp. 742-746.
  8. A new method to calculate eigenvalues of the Orr-Sommerfeld spectral problem. Electromagnetic waves and electronic systems, 2000, Vol. 5, no. 6, pp. 4– 10.
  9. A new method of approximate calculation of the first eigenvalues of the Orr-Sommerfeld spectral problem. Proceedings of the Russian Academy of Sciences, 2001, Vol. 378, no. 4, pp. 443-446.
  10. A new approximate calculation method for the first eigenvalues of a spectral problem of the hydrodynamic stability of the Poiseuille flow in a round tube. Proceedings of the Russian Academy of Sciences, 2001, Vol. 380, no. 2, pp.160-163.
  11. A new method to calculate the first eigenvalues of a spectral problem of the hydrodynamic theory of stability for a viscous fluid flow between two rotating cylinders. Proceedings of the Russian Academy of Sciences, 2001, Vol. 381, no. 3, pp. 320-324.
  12. Stability of the Kutta plane-parallel flow. Electromagnetic waves and electronic systems, 2005, Vol. 10, no. 1-2, pp. 10– 21.
  13. Computing sums of the Rayleigh-Schrödinger series of perturbed self-adjoint operators. Computational Mathematics and Mathematical Physics, 2007, Vol. 47, no. 9, pp. 1494-1505.
  14. The method of finding eigenvalues of the discrete semi-bounded from below operator. Bulletin of SUSU, series of Mathematical Modelling and Programming, 2011, no. 17 (234), Vol. 8, pp. 46 – 51.
  15. Non-isothermal spreading of viscous fluid drops along a horizontal tube. Chelyabinsk State University Bulletin, 2012, no. 31, pp. 16-19.
  16. Mathematical simulation of the heating process of a viscous liquid drop spreading over a horizontally oriented cylindrical pipe. Heat power engineering, 2013, no. 9, pp. 36-39.
  17. A numerical computation of inverse problems, generated by perturbed self-adjoint operators, with a regularized trace method. Vestnik of Samara State University. Naturalistic series, 2013, no. 6 (107), pp. 23 - 30.
  18. A numerical computation of inverse problems, generated by perturbed self-adjoint operators. Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 2013, Vol. 6, no. 4, pp. 15 – 25.

Additional Information

Scopus Author ID: 6603287106

https://www.scopus.com/authid/detail.url?authorId=6603287106

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