Varin Victor Petrovich

Publications in Math-Net.Ru

1. Spectral methods and quadratures
   
   Keldysh Institute preprints, 2025, 016, 25 pp.
2. Spectral methods of polynomial interpolation and approximation
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:2 (2025),  150–161
3. Localazation of movable singularities of the Blasius equation
   
   Keldysh Institute preprints, 2024, 083, 23 pp.
4. Rational coefficients of orthogonal expansions of some functions
   
   Keldysh Institute preprints, 2024, 059, 23 pp.
5. Spectral methods for polynomial interpolation and approximation
   
   Keldysh Institute preprints, 2024, 027, 20 pp.
6. Rational arithmetic with a round-off
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024),  895–913
7. Spectral methods for solution of differential and functional equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024),  713–728
8. Rational arithmetic with a round-off
   
   Keldysh Institute preprints, 2023, 071, 25 pp.
9. Approximation of differential operators with boundary conditions
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1251–1271
10. Functional summation of series
    
    Zh. Vychisl. Mat. Mat. Fiz., 63:1 (2023),  16–30
11. Approximation of differential operators with boundary conditions
    
    Keldysh Institute preprints, 2022, 077, 31 pp.
12. Functional summation of series
    
    Keldysh Institute preprints, 2022, 028, 23 pp.
13. Some applications of Brun's criterion
    
    Keldysh Institute preprints, 2022, 014, 22 pp.
14. Sequence transformations in proofs of irrationality of some fundamental constants
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022),  1587–1614
15. Invariant curves of some discrete dynamical systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022),  199–216
16. Sequence transformations in proofs of irrationality of some fundamental constants
    
    Keldysh Institute preprints, 2021, 084, 32 pp.
17. On interpolation of some recurrent sequences
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:6 (2021),  913–925
18. Invariant curves of some discrete dynamical systems
    
    Keldysh Institute preprints, 2020, 078, 27 pp.
19. On intrpolation of some recurrent sequences
    
    Keldysh Institute preprints, 2020, 024, 19 pp.
20. Computation of periodic solutions to pendulum type systems with a small parameter
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2055–2072
21. Nonlocal singularities on families of periodic solutions to ordinary differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020),  57–69
22. Pendulum type systems from computer algebra viewpoint
    
    Keldysh Institute preprints, 2019, 103, 28 pp.
23. Integration of ODEs on Riemann surfaces with an arbitrary precision
    
    Keldysh Institute preprints, 2019, 001, 24 pp.
24. Integration of ordinary differential equations on Riemann surfaces with unbounded precision
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019),  1158–1173
25. Factorial transformation for some classical combinatorial sequences
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018),  1747–1770
26. Asymptotic expansion of Crocco solution and the Blasius constant
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018),  530–540
27. Factorial transformation for some classical combinatorial sequences
    
    Keldysh Institute preprints, 2017, 114, 31 pp.
28. Special solutions to Chazy equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:2 (2017),  210–236
29. Asymptotic expansion of Crocco solution and Blasius constant
    
    Keldysh Institute preprints, 2016, 106, 20 pp.
30. Special solutions to Chazy equation
    
    Keldysh Institute preprints, 2015, 043, 39 pp.
31. Flat expansions and their applications
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015),  807–821
32. Flat expansions and their applications
    
    Keldysh Institute preprints, 2014, 023, 25 pp.
33. A solution of the Blasius problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  1022
34. A solution of the Blasius problem
    
    Keldysh Institute preprints, 2013, 040, 21 pp.
35. An analysis of a vacuum diode model
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013),  263
36. An analysis of a vacuum diode model
    
    Keldysh Institute preprints, 2012, 008, 19 pp.
37. Sets of stability of multiparameter Hamiltonian systems
    
    Keldysh Institute preprints, 2011, 042, 32 pp.
38. Spectral properties of the period-doubling operator
    
    Keldysh Institute preprints, 2011, 009, 20 pp.
39. Flat Expansions of Solutions to ODEs at Singularities
    
    Keldysh Institute preprints, 2010, 064, 12 pp.
40. Computation of the Sets of Stability in Multiparameter Problems
    
    Keldysh Institute preprints, 2010, 023, 22 pp.
41. The stability set of a gyroscopic problems
    
    Keldysh Institute preprints, 2010, 004, 30 pp.
42. A hydrodynamic model of human cochlea
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009),  1708–1723
43. A mathematical model of human cochlea
    
    Keldysh Institute preprints, 2008, 096, 26 pp.
44. The families c and i of periodic solutions of the restricted problem for $\mu=5\cdot10^{-5}$
    
    Keldysh Institute preprints, 2008, 022, 26 pp.
45. Closed families of periodic solutions of the restricted three-body problem
    
    Keldysh Institute preprints, 2008, 016, 27 pp.
46. Methods without saturation for boundary value problems
    
    Keldysh Institute preprints, 2008, 001, 13 pp.
47. Family $c$ of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2007, 051, 14 pp.
48. Complicated families of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2007, 035, 18 pp.
49. Periodic solutions of the restricted three-body problem for small $\mu$
    
    Keldysh Institute preprints, 2007, 034, 22 pp.
50. The generating family $i$ of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2006, 036
51. The family $h$ of periodic solutions of the restricted problem for small $\mu$
    
    Keldysh Institute preprints, 2005, 067
52. The family $h$ of periodic solutions of the restricted problem for big $\mu$
    
    Keldysh Institute preprints, 2005, 064
53. The family $h$ of periodic solutions of the restricted problem for small $\mu$
    
    Keldysh Institute preprints, 2005, 048
54. On families of periodic solutions to the restricted three-body problem
    
    Keldysh Institute preprints, 2005, 010
55. Poincaré map for some polynomial systems of differential equations
    
    Mat. Sb., 195:7 (2004),  3–20
56. Asymptotics of the Poincaré mapping for some plane polynomial systems
    
    Keldysh Institute preprints, 2003, 034, 24 pp.
57. Wave fronts and caustics of vector fields
    
    Keldysh Institute preprints, 2002, 066
58. Classes of families of generalized periodic solutions to the Beletsky equation
    
    Keldysh Institute preprints, 2002, 064
59. Degenerate bifurcation of periodic solutions to an ODE caused by symmetry
    
    Keldysh Institute preprints, 2002, 051
60. The isolated generating periodic solutions to the Beletsky equation
    
    Keldysh Institute preprints, 2001, 076
61. The center conditions for nearly hamiltonian systems
    
    Keldysh Institute preprints, 2001, 048
62. The center-focus problem and the variational equations
    
    Keldysh Institute preprints, 2001, 009
63. The Symmetric Anomaly and its Computational Application
    
    Keldysh Institute preprints, 2000, 057
64. Degeneracies of Periodic Solutions to the Beletsky Equation
    
    Regul. Chaotic Dyn., 5:3 (2000),  313–328
65. Localization of Degeneracies in Families of Periodic Solutions to an ODE and their Regularization
    
    Keldysh Institute preprints, 1999, 023
66. Localization of Degeneracies in Families of Periodic Solutions to an ODE and their Regularization
    
    Keldysh Institute preprints, 1999, 022
67. Generalized Periodic Solutions to the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1997, 097
68. The critical subfamilies of the family $K_0$ of periodic solutions to the equation of oscillations of a satellite
    
    Keldysh Institute preprints, 1997, 020
69. The Critical Families of Periodic Solutions to the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1996, 101
70. The Second Limit Problem for the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1995, 128
71. The First Limit Problem for the Equation of Oscillations of a Satellite
    
    Keldysh Institute preprints, 1995, 124
72. 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