Arushanyan Oleg Bagratovich

Publications in Math-Net.Ru

1. 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
2. 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
3. An error estimate for an approximate solution to ordinary differential equations obtained using the Chebyshev series
   
   Num. Meth. Prog., 21:3 (2020),  241–250
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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
11. Approximate solution of the Cauchy problem for ordinary differential equations by the method of Chebyshev series
    
    Num. Meth. Prog., 17:2 (2016),  121–131
12. 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
13. On an approximate analytical method of solving ordinary differential equations
    
    Num. Meth. Prog., 16:2 (2015),  235–241
14. 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
15. Application of Chebyshev series for the integration of ordinary differential equations
    
    Sib. Èlektron. Mat. Izv., 11 (2014),  517–531
16. 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
17. A method of solving the Cauchy problem for ordinary differential equations using Chebyshev series
    
    Num. Meth. Prog., 14:2 (2013),  203–214
18. An approximate method for integration of ordinary differential equations
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6,  43–46
19. 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
20. On calculation of Chebyshev series coefficients for the solutions to ordinary differential equations
    
    Sib. Èlektron. Mat. Izv., 8 (2011),  273–283
21. Approximate solution of ordinary differential equations using Chebyshev series
    
    Sib. Èlektron. Mat. Izv., 7 (2010),  122–131
22. Automation tools for the documentation of large software packages
    
    Num. Meth. Prog., 11:1 (2010),  26–30
23. Application of orthogonal expansions for approximate integration of ordinary differential equations
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 4,  40–43
24. Application of Markov’s quadrature in orthogonal expansions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 6,  18–22
25. Programming tools to automate the file matching on autonomous computers
    
    Num. Meth. Prog., 9:4 (2008),  81–85
26. Tools for working with parametrized graphic representations in the ADEPT tool kit
    
    Num. Meth. Prog., 8:4 (2007),  78–81
27. The TECONV program complex to automate transformations of large collections of text files
    
    Num. Meth. Prog., 8:4 (2007),  74–77
28. A language for a tool set oriented to interactive processing of complex data structures
    
    Num. Meth. Prog., 7:1 (2006),  6–18
29. An approach to automating the implementation of applications intended for operation with compound data structures
    
    Num. Meth. Prog., 6:2 (2005),  1–9
30. Architecture of client software for WEB-applications intended for data representation
    
    Num. Meth. Prog., 5:2 (2004),  24–37
31. 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
32. Numerical analysis library (Research Computing Center, Moscow State University)
    
    Num. Meth. Prog., 3:4 (2002),  1–6
33. Test problems for ordinary differential equations
    
    Num. Meth. Prog., 3:3 (2002),  11–19
34. Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method
    
    Num. Meth. Prog., 2:3 (2001),  41–48
35. Linear algebra tests: Jacobi symmetric matrices with equal diagonal elements
    
    Num. Meth. Prog., 1:3 (2000),  1–11
36. The access to Numerical Analysis Library of Moscow University Research Computing Center in Internet
    
    Num. Meth. Prog., 1:2 (2000),  1–8