Varin Victor Petrovich

Publications in Math-Net.Ru

1. Spectral methods for polynomial interpolation and approximation
   
   Keldysh Institute preprints, 2024, 027, 20 pp.
2. Rational arithmetic with a round-off
   
   Keldysh Institute preprints, 2023, 071, 25 pp.
3. Approximation of differential operators with boundary conditions
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1251–1271
4. Functional summation of series
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:1 (2023),  16–30
5. Approximation of differential operators with boundary conditions
   
   Keldysh Institute preprints, 2022, 077, 31 pp.
6. Functional summation of series
   
   Keldysh Institute preprints, 2022, 028, 23 pp.
7. Some applications of Brun's criterion
   
   Keldysh Institute preprints, 2022, 014, 22 pp.
8. Sequence transformations in proofs of irrationality of some fundamental constants
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022),  1587–1614
9. Invariant curves of some discrete dynamical systems
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022),  199–216
10. Sequence transformations in proofs of irrationality of some fundamental constants
    
    Keldysh Institute preprints, 2021, 084, 32 pp.
11. On interpolation of some recurrent sequences
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:6 (2021),  913–925
12. Invariant curves of some discrete dynamical systems
    
    Keldysh Institute preprints, 2020, 078, 27 pp.
13. On intrpolation of some recurrent sequences
    
    Keldysh Institute preprints, 2020, 024, 19 pp.
14. Computation of periodic solutions to pendulum type systems with a small parameter
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2055–2072
15. Nonlocal singularities on families of periodic solutions to ordinary differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020),  57–69
16. Pendulum type systems from computer algebra viewpoint
    
    Keldysh Institute preprints, 2019, 103, 28 pp.
17. Integration of ODEs on Riemann surfaces with an arbitrary precision
    
    Keldysh Institute preprints, 2019, 001, 24 pp.
18. Integration of ordinary differential equations on Riemann surfaces with unbounded precision
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019),  1158–1173
19. Factorial transformation for some classical combinatorial sequences
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018),  1747–1770
20. Asymptotic expansion of Crocco solution and the Blasius constant
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018),  530–540
21. Factorial transformation for some classical combinatorial sequences
    
    Keldysh Institute preprints, 2017, 114, 31 pp.
22. Special solutions to Chazy equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:2 (2017),  210–236
23. Asymptotic expansion of Crocco solution and Blasius constant
    
    Keldysh Institute preprints, 2016, 106, 20 pp.
24. Special solutions to Chazy equation
    
    Keldysh Institute preprints, 2015, 043, 39 pp.
25. Flat expansions and their applications
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015),  807–821
26. Flat expansions and their applications
    
    Keldysh Institute preprints, 2014, 023, 25 pp.
27. A solution of the Blasius problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  1022
28. A solution of the Blasius problem
    
    Keldysh Institute preprints, 2013, 040, 21 pp.
29. An analysis of a vacuum diode model
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013),  263
30. An analysis of a vacuum diode model
    
    Keldysh Institute preprints, 2012, 008, 19 pp.
31. Sets of stability of multiparameter Hamiltonian systems
    
    Keldysh Institute preprints, 2011, 042, 32 pp.
32. Spectral properties of the period-doubling operator
    
    Keldysh Institute preprints, 2011, 009, 20 pp.
33. Flat Expansions of Solutions to ODEs at Singularities
    
    Keldysh Institute preprints, 2010, 064, 12 pp.
34. Computation of the Sets of Stability in Multiparameter Problems
    
    Keldysh Institute preprints, 2010, 023, 22 pp.
35. The stability set of a gyroscopic problems
    
    Keldysh Institute preprints, 2010, 004, 30 pp.
36. A hydrodynamic model of human cochlea
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009),  1708–1723
37. A mathematical model of human cochlea
    
    Keldysh Institute preprints, 2008, 096, 26 pp.
38. The families c and i of periodic solutions of the restricted problem for $\mu=5\cdot10^{-5}$
    
    Keldysh Institute preprints, 2008, 022, 26 pp.
39. Closed families of periodic solutions of the restricted three-body problem
    
    Keldysh Institute preprints, 2008, 016, 27 pp.
40. Methods without saturation for boundary value problems
    
    Keldysh Institute preprints, 2008, 001, 13 pp.
41. Family $c$ of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2007, 051, 14 pp.
42. Complicated families of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2007, 035, 18 pp.
43. Periodic solutions of the restricted three-body problem for small $\mu$
    
    Keldysh Institute preprints, 2007, 034, 22 pp.
44. The generating family $i$ of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2006, 036
45. The family $h$ of periodic solutions of the restricted problem for small $\mu$
    
    Keldysh Institute preprints, 2005, 067
46. The family $h$ of periodic solutions of the restricted problem for big $\mu$
    
    Keldysh Institute preprints, 2005, 064
47. The family $h$ of periodic solutions of the restricted problem for small $\mu$
    
    Keldysh Institute preprints, 2005, 048
48. On families of periodic solutions to the restricted three-body problem
    
    Keldysh Institute preprints, 2005, 010
49. Poincaré map for some polynomial systems of differential equations
    
    Mat. Sb., 195:7 (2004),  3–20
50. Asymptotics of the Poincaré mapping for some plane polynomial systems
    
    Keldysh Institute preprints, 2003, 034, 24 pp.
51. Wave fronts and caustics of vector fields
    
    Keldysh Institute preprints, 2002, 066
52. Classes of families of generalized periodic solutions to the Beletsky equation
    
    Keldysh Institute preprints, 2002, 064
53. Degenerate bifurcation of periodic solutions to an ODE caused by symmetry
    
    Keldysh Institute preprints, 2002, 051
54. The isolated generating periodic solutions to the Beletsky equation
    
    Keldysh Institute preprints, 2001, 076
55. The center conditions for nearly hamiltonian systems
    
    Keldysh Institute preprints, 2001, 048
56. The center-focus problem and the variational equations
    
    Keldysh Institute preprints, 2001, 009
57. The Symmetric Anomaly and its Computational Application
    
    Keldysh Institute preprints, 2000, 057
58. Degeneracies of Periodic Solutions to the Beletsky Equation
    
    Regul. Chaotic Dyn., 5:3 (2000),  313–328
59. Localization of Degeneracies in Families of Periodic Solutions to an ODE and their Regularization
    
    Keldysh Institute preprints, 1999, 023
60. Localization of Degeneracies in Families of Periodic Solutions to an ODE and their Regularization
    
    Keldysh Institute preprints, 1999, 022
61. Generalized Periodic Solutions to the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1997, 097
62. The critical subfamilies of the family $K_0$ of periodic solutions to the equation of oscillations of a satellite
    
    Keldysh Institute preprints, 1997, 020
63. The Critical Families of Periodic Solutions to the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1996, 101
64. The Second Limit Problem for the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1995, 128
65. The First Limit Problem for the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1995, 124
66. A study of self-oscillating regimes that are close to the Poiseuille flow in a two-dimensional channel
    
    Dokl. Akad. Nauk SSSR, 313:6 (1990),  1407–1412