Belykh Vladimir Nikitich

Publications in Math-Net.Ru

1. On estimating the value of the Alexandrov‘s width of a compact from below infinitely smooth aperiodic functions of the Gevrey’s class
   
   Mat. Tr., 28:3 (2025),  5–18
2. Asymptotics for Alexandrov's $n$-width of a compact set of analytic periodic functions
   
   Sibirsk. Mat. Zh., 66:3 (2025),  389–395
3. On the asymptotics of the Alexsandrov`s $n$-width compact infinitely smooth periodic function of the Gevrey's class
   
   Mat. Tr., 27:4 (2024),  5–18
4. Estimates of Alexandrov's $n$-width of the compact set of $C^{\infty}$-smooth functions on a finite segment
   
   Sibirsk. Mat. Zh., 65:1 (2024),  3–14
5. Estimates of Alexandrov’s $n$-width of a compact set for some infinitely differentiable periodic functions
   
   Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023),  8–12
6. Unsaturated algorithms for the numerical solution of elliptic boundary value problems in smooth axisymmetric domains
   
   Mat. Tr., 25:1 (2022),  3–50
7. On the question of good conditionality of unsaturated quadrature formulas
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  1083–1097
8. Superconvergent algorithms for the numerical solution of the Laplace equation in smooth axisymmetric domains
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  553–566
9. Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with free surface
   
   Prikl. Mekh. Tekh. Fiz., 60:2 (2019),  226–237
10. The problem of constructing unsaturated quadrature formulae on an interval
    
    Mat. Sb., 210:1 (2019),  27–62
11. The absolute $\varepsilon$-entropy of a compact set of infinitely differentiable aperiodic functions
    
    Sibirsk. Mat. Zh., 59:6 (2018),  1197–1213
12. Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval
    
    Sibirsk. Mat. Zh., 58:5 (2017),  1004–1014
13. Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface
    
    Sibirsk. Mat. Zh., 58:4 (2017),  728–744
14. Particular features of implementation of an unsaturated numerical method for the exterior axisymmetric Neumann problem
    
    Sibirsk. Mat. Zh., 54:6 (2013),  1237–1249
15. Algorithms for computing complete elliptic integrals and some related functions
    
    Sib. Zh. Ind. Mat., 15:2 (2012),  21–32
16. The problem of numerical realization of integral operators of axisymmetric boundary value problems (algorithms without saturation)
    
    Ufimsk. Mat. Zh., 4:4 (2012),  22–37
17. An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace's equation
    
    Sibirsk. Mat. Zh., 52:6 (2011),  1234–1252
18. On the absolute $\varepsilon$-entropy of some compact set of infinitely differentiable periodic functions
    
    Sibirsk. Mat. Zh., 52:3 (2011),  485–501
19. On solving the problem of an ideal incompressible fluid flow around large-aspect-ratio axisymmetric bodies
    
    Prikl. Mekh. Tekh. Fiz., 47:5 (2006),  56–67
20. On the best approximation properties of $C^\infty$-smooth functions on an interval of the real axis (to the phenomenon of unsaturated numerical methods)
    
    Sibirsk. Mat. Zh., 46:3 (2005),  483–499
21. Superconvergent unsaturated algorithms for the numerical solution of the Laplace equation
    
    Sib. Zh. Ind. Mat., 5:2 (2002),  36–52
22. On the problem of the numerical solution of the Dirichlet problem by the harmonic potential of a simple layer (algorithms without saturation)
    
    Dokl. Akad. Nauk, 329:4 (1993),  392–395
23. Algorithms without saturation in the problem of numerical integration
    
    Dokl. Akad. Nauk SSSR, 304:3 (1989),  529–533
24. Numerical algorithms without saturation in nonstationary problems of the hydrodynamics of an ideal fluid with free boundaries
    
    Trudy Inst. Mat. Sib. Otd. AN SSSR, 11 (1988),  3–67
25. Algorithms without saturation in axially symmetric boundary value problems
    
    Dokl. Akad. Nauk SSSR, 295:5 (1987),  1037–1041
26. Qualitative study of multidimensional phase systems
    
    Sibirsk. Mat. Zh., 18:4 (1977),  723–735


27. Sergei Konstantinovich Godunov has turned 85 years old
    
    Uspekhi Mat. Nauk, 70:3(423) (2015),  183–207