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Zaletkin, Sergei Fedorovich
Statistics Math-Net.Ru
Total publications: 33
Scientific articles: 33

Number of views:
This page:425
Abstract pages:7004
Full texts:2464
References:548
Senior Researcher
Candidate of physico-mathematical sciences
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https://www.mathnet.ru/eng/person52255
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/304629

Publications in Math-Net.Ru Citations
2022
1. S. F. Zaletkin, “Approximate integration of ordinary differential equations using Chebyshev series with precision control”, Matem. Mod., 34:6 (2022),  53–74  mathnet  mathscinet 1
2. O. B. Arushanyan, S. F. Zaletkin, “Approximate integration of the canonical systems of second order ordinary differential equations with the use of Chebyshev series with error estimation for solution and its derivative”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 4,  27–34  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 77:4 (2022), 191–198
2021
3. O. B. Arushanyan, S. F. Zaletkin, “Applying the method of integration of ordinary differential equations based on the Chebyshev series to the restricted plane circular three-body problem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 3,  31–36  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 76:3 (2021), 118–122  isi  scopus
2020
4. O. B. Arushanyan, S. F. Zaletkin, “An error estimate for an approximate solution to ordinary differential equations obtained using the Chebyshev series”, Num. Meth. Prog., 21:3 (2020),  241–250  mathnet 2
5. O. B. Arushanyan, S. F. Zaletkin, “On the computation of approximate solution to ordinary differential equations by the Chebyshev series method and estimation of its error”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 5,  22–26  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:5 (2020), 204–208  isi  scopus 2
2019
6. O. B. Arushanyan, S. F. Zaletkin, “An implementation of the Chebyshev series method for the approximate analytical solution of second-order ordinary differential equations”, Num. Meth. Prog., 20:2 (2019),  97–103  mathnet  elib 2
7. O. B. Arushanyan, S. F. Zaletkin, “On some analytic method for approximate solution of systems of second order ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3,  65–69  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 74:3 (2019), 127–130  isi  scopus 3
2018
8. O. B. Arushanyan, S. F. Zaletkin, “To the orthogonal expansion theory of the solution to the Cauchy problem for second-order ordinary differential equations”, Num. Meth. Prog., 19:2 (2018),  178–184  mathnet 3
9. O. B. Arushanyan, S. F. Zaletkin, “Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 3,  29–33  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 73:3 (2018), 111–115  isi  scopus 2
2017
10. O. B. Arushanyan, S. F. Zaletkin, “On solvability of a nonlinear system of equations for the Fourier-Chebyshev coefficients in the problem of solving ordinary differential equations using Chebyshev series”, Num. Meth. Prog., 18:2 (2017),  169–174  mathnet
11. O. B. Arushanyan, S. F. Zaletkin, “Solvability of a system of equations for the Fourier-Chebyshev coefficients when solving ordinary differential equations by the Chebyshev series method”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 5,  58–61  mathnet  mathscinet; Moscow University Mathematics Bulletin, 72:5 (2017), 213–216  isi  scopus 3
2016
12. O. B. Arushanyan, S. F. Zaletkin, “Approximate solution of the Cauchy problem for ordinary differential equations by the method of Chebyshev series”, Num. Meth. Prog., 17:2 (2016),  121–131  mathnet 3
13. O. B. Arushanyan, S. F. Zaletkin, “The use of Chebyshev series for approximate analytic solution of ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5,  52–56  mathnet  mathscinet; Moscow University Mathematics Bulletin, 71:5 (2016), 212–215  isi  scopus 2
2015
14. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “On an approximate analytical method of solving ordinary differential equations”, Num. Meth. Prog., 16:2 (2015),  235–241  mathnet
15. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 5,  57–60  mathnet  mathscinet; Moscow University Mathematics Bulletin, 70:5 (2015), 237–240  isi  scopus 1
2014
16. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “Application of Chebyshev series for the integration of ordinary differential equations”, Sib. Èlektron. Mat. Izv., 11 (2014),  517–531  mathnet 7
17. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “On an approach to integration of ordinary differential equations with the use of series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 6,  57–60  mathnet  mathscinet; Moscow University Mathematics Bulletin, 69:6 (2014), 272–274  scopus 2
2013
18. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “A method of solving the Cauchy problem for ordinary differential equations using Chebyshev series”, Num. Meth. Prog., 14:2 (2013),  203–214  mathnet 4
19. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “An approximate method for integration of ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6,  43–46  mathnet  mathscinet; Moscow University Mathematics Bulletin, 68:6 (2013), 292–294  scopus 3
2012
20. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5,  24–30  mathnet  mathscinet; Moscow University Mathematics Bulletin, 67:5-6 (2012), 211–216  scopus 12
2011
21. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “On calculation of Chebyshev series coefficients for the solutions to ordinary differential equations”, Sib. Èlektron. Mat. Izv., 8 (2011),  273–283  mathnet 9
2010
22. S. F. Zaletkin, “Numerical integration of ordinary differential equations using orthogonal expansions”, Matem. Mod., 22:1 (2010),  69–85  mathnet  mathscinet  zmath 8
23. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “Approximate solution of ordinary differential equations using Chebyshev series”, Sib. Èlektron. Mat. Izv., 7 (2010),  122–131  mathnet  mathscinet 7
24. O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “Application of orthogonal expansions for approximate integration of ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 4,  40–43  mathnet  mathscinet  zmath 10
2009
25. O. B. Arushanyan, S. F. Zaletkin, “Application of Markov’s quadrature in orthogonal expansions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 6,  18–22  mathnet  mathscinet  zmath 12
2005
26. S. F. Zaletkin, “Markov's formula with two fixed nodes for numerical integration and its application in orthogonal expansions”, Num. Meth. Prog., 6:3 (2005),  1–17  mathnet 6
2003
27. O. B. Arushanyan, S. F. Zaletkin, “General description of subroutines for solving ordinary differential equations from the Numerical Analysis Library (Research Computer Center, Moscow State University)”, Num. Meth. Prog., 4:3 (2003),  7–15  mathnet
2002
28. O. B. Arushanyan, S. F. Zaletkin, N. N. Kalitkin, “Test problems for ordinary differential equations”, Num. Meth. Prog., 3:3 (2002),  11–19  mathnet 5
29. S. K. Tatevyan, N. A. Sorokin, S. F. Zaletkin, “Numerical integration of ordinary differential equations with the use of Chebyshev's series”, Num. Meth. Prog., 3:1 (2002),  52–81  mathnet
2001
30. O. B. Arushanyan, S. F. Zaletkin, “Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method”, Num. Meth. Prog., 2:3 (2001),  41–48  mathnet
31. S. K. Tatevyan, N. A. Sorokin, S. F. Zaletkin, “Markov's formula for numerical integration and its application in orthogonal expansions”, Num. Meth. Prog., 2:1 (2001),  131–158  mathnet
32. S. K. Tatevyan, N. A. Sorokin, S. F. Zaletkin, “Construction of polynomial approximations for numerical solution of ordinary differential equations”, Num. Meth. Prog., 2:1 (2001),  56–64  mathnet
2000
33. S. K. Tatevyan, N. A. Sorokin, S. F. Zaletkin, “Numerical integration of ordinary differential equations on the basis of local polynomial approximations”, Num. Meth. Prog., 1:1 (2000),  28–61  mathnet

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