Zaletkin Sergei Fedorovich

Publications in Math-Net.Ru

1. Approximate integration of the Cauchy problem for canonical systems of second order ordinary differential equations by the Chebyshev series method with precision control
   
   Num. Meth. Prog., 26:2 (2025),  160–174
2. Application of Chebyshev series to numerical integration of nonlinear oscillation equation
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 3,  11–17
3. Approximate integration of ordinary differential equations using Chebyshev series with precision control
   
   Mat. Model., 34:6 (2022),  53–74
4. 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
5. 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
6. An error estimate for an approximate solution to ordinary differential equations obtained using the Chebyshev series
   
   Num. Meth. Prog., 21:3 (2020),  241–250
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. Approximate solution of the Cauchy problem for ordinary differential equations by the method of Chebyshev series
    
    Num. Meth. Prog., 17:2 (2016),  121–131
15. 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
16. On an approximate analytical method of solving ordinary differential equations
    
    Num. Meth. Prog., 16:2 (2015),  235–241
17. 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
18. Application of Chebyshev series for the integration of ordinary differential equations
    
    Sib. Èlektron. Mat. Izv., 11 (2014),  517–531
19. 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
20. A method of solving the Cauchy problem for ordinary differential equations using Chebyshev series
    
    Num. Meth. Prog., 14:2 (2013),  203–214
21. An approximate method for integration of ordinary differential equations
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6,  43–46
22. 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
23. On calculation of Chebyshev series coefficients for the solutions to ordinary differential equations
    
    Sib. Èlektron. Mat. Izv., 8 (2011),  273–283
24. Numerical integration of ordinary differential equations using orthogonal expansions
    
    Mat. Model., 22:1 (2010),  69–85
25. Approximate solution of ordinary differential equations using Chebyshev series
    
    Sib. Èlektron. Mat. Izv., 7 (2010),  122–131
26. Application of orthogonal expansions for approximate integration of ordinary differential equations
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 4,  40–43
27. Application of Markov’s quadrature in orthogonal expansions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 6,  18–22
28. Markov's formula with two fixed nodes for numerical integration and its application in orthogonal expansions
    
    Num. Meth. Prog., 6:3 (2005),  1–17
29. 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
30. Test problems for ordinary differential equations
    
    Num. Meth. Prog., 3:3 (2002),  11–19
31. Numerical integration of ordinary differential equations with the use of Chebyshev's series
    
    Num. Meth. Prog., 3:1 (2002),  52–81
32. Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method
    
    Num. Meth. Prog., 2:3 (2001),  41–48
33. Markov's formula for numerical integration and its application in orthogonal expansions
    
    Num. Meth. Prog., 2:1 (2001),  131–158
34. Construction of polynomial approximations for numerical solution of ordinary differential equations
    
    Num. Meth. Prog., 2:1 (2001),  56–64
35. Numerical integration of ordinary differential equations on the basis of local polynomial approximations
    
    Num. Meth. Prog., 1:1 (2000),  28–61