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Kadchenko, Sergey Ivanovich

Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 27

Number of views:
This page:1840
Abstract pages:3406
Full texts:1313
References:700
Professor
Doctor of physico-mathematical sciences (2004)
Speciality: 01.01.07; 01.02.04 (Computing mathematics; Mechanics of deformable solids)
Birth date: 10.10.1950
E-mail:
Keywords: the theory of the operators, the discrete operators, the traces of the operators, the amendments of the theory of perturbations, the hydrodynamical theory of stability.

Subject:

The new method of a calculation of the eigenvalues of the discrete operators is developed together with the academician of RAS V. A. Sadovnichii and professor V. V. Dubrovskii. The spectral problems of the hydrodynamical theory of stability of the current between two parallel planes (the problem of Оrra–Zomerfeld), the current between two rotating cylinders ( the movement of Cuatt) and the current in a round pipe (the movement of Puaziel) are solved using this method.

Biography

I have finished the physical faculty of the Rostov-na-Donu pedagogical institute in 1971. In 1985 I have protected the candidate dissertation. Has protected the thesis for a doctor's degree in 2004. Under my management have protected 4 post-graduate students master's theses. I have more than 90 publications.

   
Main publications:
  • Kravchenko V. F., Kadchenko S. I., Pustovoit V. I. Laminarnye, neizotermicheskie techeniya ferrozhidkosti v kanale pryamougolnogo secheniya // DAN. 1996. T. 347. # 2. S. 171–174.
  • Kadchenko S. I. Novyi metod vychisleniya sobstvennykh chisel spektralnoi zadachi Orra–Zommerfelda // Elektromagnitnye volny i elektronnye sistemy. 2000. T. 5. # 6. S. 4–10.
  • Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A. Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi gidrodinamicheskoi ustoichivosti techeniya Pauzeilya v krugloi trube // DAN. 2001. T. 380. # 2. S. 160–163.
  • Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A. Novyi metod vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi gidrodinamicheskoi ustoichivosti techeniya vyazkoi zhidkosti mezhdu dvumya vraschayuschimisya tsilindrami // DAN. 2001. T. 381. # 3. S. 320–324.
  • Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A. Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi Orra–Zommerfelda // DAN. 2001. T. 378. # 4. S. 443–446.

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Publications in Math-Net.Ru
2019
1. S. I. Kadchenko, G. A. Zakirova, L. S. Ryazanova, O. A. Torshina, “Calculation of discrete semi-bounded operators’ eigenvalues with large numbers”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 11:1 (2019),  10–15  mathnet  elib
2017
2. S. I. Kadchenko, S. N. Kakushkin, “Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 141 (2017),  61–78  mathnet  mathscinet
3. S. I. Kadchenko, G. A. Zakirova, “Calculation of eigenvalues of discrete semibounded differential operators”, J. Comp. Eng. Math., 4:1 (2017),  38–47  mathnet  mathscinet  elib
4. S. I. Kadchenko, S. N. Kakushkin, G. A. Zakirova, “Spectral problems on compact graphs”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017),  156–162  mathnet  isi  elib
5. A. O. Kondyukov, T. G. Sukacheva, S. I. Kadchenko, L. S. Ryazanova, “Computational experiment for a class of mathematical models of magnetohydrodynamics”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:1 (2017),  149–155  mathnet  isi  elib
2016
6. S. I. Kadchenko, A. О. Kondyukov, “Numerical study of a flow of viscoelastic fluid of Kelvin–Voigt having zero order in a magnetic field”, J. Comp. Eng. Math., 3:2 (2016),  40–47  mathnet  mathscinet  zmath  elib
7. S. I. Kadchenko, O. A. Torshina, “Calculation of eigenvalues of elliptic differential operators using the theory of regularized series”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:2 (2016),  36–43  mathnet  elib
8. S. I. Kadchenko, S. N. Kakushkin, “Finding of values for sums of functional Rayleigh–Schrodinger series for perturbed self-adjoint operators”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:3 (2016),  137–143  mathnet  elib
9. S. I. Kadchenko, E. A. Soldatova, S. A. Zagrebina, “Numerical research of the Barenblatt–Zheltov–Kochina stochastic model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:2 (2016),  117–123  mathnet  isi  elib
2015
10. S. N. Kakushkin, S. I. Kadchenko, “The calculation of values of eigenfunctions of the perturbed self-adjoint operators by regularized traces method”, J. Comp. Eng. Math., 2:4 (2015),  48–60  mathnet  elib
11. S. I. Kadchenko, L. S. Ryazanova, A. I. Kadchenko, “Calculation of eigenvalues of Couette spectral problem by method of regularized traces”, J. Comp. Eng. Math., 2:4 (2015),  37–47  mathnet  elib
12. S. I. Kadchenko, G. A. Zakirova, “A numerical method for inverse spectral problems”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:3 (2015),  116–126  mathnet  isi  elib
2013
13. S. I. Kadchenko, “Numerical method for solving inverse spectral problems generated by perturbed self-adjoint operators”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, 9/1(110),  5–11  mathnet
14. S. I. Kadchenko, “Numerical method for the solution of inverse problems generated by perturbations of self-adjoint operators by method of regularized traces”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, 6(107),  23–30  mathnet
15. S. I. Kadchenko, “A Numerical Method for Solving Inverse Problems Generated by the Perturbed Self-Adjoint Operators”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:4 (2013),  15–25  mathnet
2012
16. S. I. Kadchenko, S. N. Kakushkin, “The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, 6(97),  13–21  mathnet
17. S. I. Kadchenko, S. N. Kakushkin, “The Algorithm of Finding of Meanings of Eigenfunctions of Perturbed Self-Adjoin Operators Via Method of Regularized Traces”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, 14,  83–88  mathnet
18. S. I. Kadchenko, S. N. Kakushkin, “The Numerical Methods of Eigenvalues and Eigenfunctions of Perturbed Self-Adjoin Operator Finding”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, 13,  45–57  mathnet
19. S. I. Kadchenko, S. N. Kakushkin, “Meanings of the First Eigenfunctions of Perturbed Discrete Operator with Simple Spectrum Finding”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, 11,  25–32  mathnet
2011
20. S. I. Kadchenko, S. N. Kakushkin, “The first four corrections of the perturbation theory for discrete semi bounded from below operators with free multiplicities of eigenvalues finding”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, 9,  16–21  mathnet
21. S. I. Kadchenko, L. S. Ryazanova, “Numeric method of finding the eigenvalues for the discrete lower semibounded operators”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, 8,  46–51  mathnet
2007
22. S. I. Kadchenko, “Computing the sums of Rayleigh–Schrödinger series of perturbed self-adjoint operators”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007),  1494–1505  mathnet  mathscinet; Comput. Math. Math. Phys., 47:9 (2007), 1435–1445  scopus
2006
23. S. I. Kadchenko, I. I. Kinzina, “Computation of eigenvalues of perturbed discrete semibounded operators”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006),  1265–1272  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 46:7 (2006), 1200–1206  scopus
2005
24. S. I. Kadchenko, I. I. Kinzina, “Линейные уравнения для вычисления собственных чисел несамосопряженных операторов”, Matem. Mod. Kraev. Zadachi, 3 (2005),  117–120  mathnet
2003
25. S. I. Kadchenko, “Новый метод вычисления рядов поправок теории возмущений дискретных операторов”, Vestnik Chelyabinsk. Gos. Univ., 2003, 9,  67–85  mathnet
2000
26. V. A. Sadovnichy, V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, “Computation of the first eigenvalues of the hydrodynamic stability problem for a viscous fluid flow between two rotating cylinders”, Differ. Uravn., 36:6 (2000),  742–746  mathnet  mathscinet; Differ. Equ., 36:6 (2000), 819–824
1998
27. V. A. Sadovnichy, V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, “Computation of the first eigenvalues of a boundary value problem on the hydrodynamic stability of a Poiseuille flow in a circular tube”, Differ. Uravn., 34:1 (1998),  50–53  mathnet  mathscinet; Differ. Equ., 34:1 (1998), 49–53

2019
28. A. D. Baev, Yu. E. Gliklikh, S. A. Zagrebina, A. A. Zamyshlyaeva, S. I. Kadchenko, A. V. Keller, D. V. Kostin, N. A. Manakova, V. I. Rjazhskih, G. A. Sviridyuk, T. G. Sukacheva, “Yu.I. Sapronov. To the memory of mathematician, teacher and friend”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019),  166–168  mathnet  elib
2017
29. A. A. Bayazitova, S. V. Brychev, E. V. Bychkov, V. V. Zagrebina, M. A. Zagrebin, S. A. Zagrebina, G. A. Zakirova, A. A. Zamyshlyaeva, S. I. Kadchenko, V. O. Kazak, A. V. Keller, O. G. Kitaeva, N. A. Manakova, P. O. Moskvicheva, A. B. Samarov, O. Tsyplenkova, D. E. Shafranov, M. M. Yakupov, “To the 65th anniversary of professor G. A. Sviridyuk”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017),  155–158  mathnet  elib

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