Volkov Yuriy Stepanovich

Publications in Math-Net.Ru

1. Error bounds for interpolation in the mean integro quadratic splines and superconvergence points
   
   Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025),  31–34
2. Application of Steklov's method of smoothing functions to numerical differentiation and construction of local quasi-interpolation splines
   
   Mat. Tr., 28:2 (2025),  28–49
3. On end conditions for integro quadratic spline interpolation in the mean
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:4 (2025),  95–105
4. Estimates of the $p$-norms of solutions to difference equations and infinite systems of linear equations
   
   Sibirsk. Mat. Zh., 65:6 (2024),  1153–1163
5. Estimates of the $p$-norms of solutions and inverse matrices of systems of linear equations with a circulant matrix
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024),  1388–1397
6. A modified quadratic interpolation method for root finding
   
   Sib. Zh. Ind. Mat., 26:3 (2023),  5–13
7. Estimates of solutions to infinite systems of linear equations and the problem of interpolation by cubic splines on the real line
   
   Sibirsk. Mat. Zh., 63:4 (2022),  814–830
8. Shape Preserving Conditions for Integro Quadratic Spline Interpolation in the Mean
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  71–77
9. On the determination of the velocity and elastic parameters of the focal zone medium from the earthquake hodographs
   
   Sib. Zh. Ind. Mat., 24:4 (2021),  5–24
10. A remark on the connection between the second divided difference and the second derivative
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021),  19–21
11. One problem of extremal functional interpolation and the Favard constants
    
    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  34–37
12. Efficient computation of Favard constants and their connection to Euler polynomials and numbers
    
    Sib. Èlektron. Mat. Izv., 17 (2020),  1921–1942
13. On error estimates of local approximation by splines
    
    Sibirsk. Mat. Zh., 61:5 (2020),  1000–1008
14. Euler polynomials in the problem of extremal functional interpolation in the mean
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  83–97
15. Shape-preservation conditions for cubic spline interpolation
    
    Mat. Tr., 22:1 (2019),  19–67
16. Convergence of spline interpolation processes and conditionality of systems of equations for spline construction
    
    Mat. Sb., 210:4 (2019),  87–102
17. Study of the convergence of interpolation processes with splines of even degree
    
    Sibirsk. Mat. Zh., 60:6 (2019),  1247–1259
18. Convergence of Quartic Interpolating Splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  67–74
19. On determination of gel point
    
    Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2019, no. 59,  53–64
20. Example of parabolic spline interpolation with bounded Lebesgue constant
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  85–91
21. Vibrational viscosimetry and a numerical method for finding the gelation dynamics
    
    Sib. Zh. Ind. Mat., 19:4 (2016),  22–30
22. The general problem of polynomial spline interpolation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  114–125
23. Shape preservation conditions under interpolation by Subbotin's parabolic splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  102–113
24. 50 years to Schoenberg's problem on the convergence of spline interpolation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  52–67
25. Shape preserving conditions for quadratic spline interpolation in the sense of Subbotin and Marsden
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  145–152
26. Orders of approximation by local exponential splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  135–144
27. Local approximation by splines with displacement of nodes
    
    Mat. Tr., 14:2 (2011),  73–82
28. Approximation of Derivatives by Jumps of Interpolating Splines
    
    Mat. Zametki, 89:1 (2011),  127–130
29. Certain Criterion for the Horizontal Homogeneity of a Medium in Inverse Kinematic Problem of Seismics
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:3 (2011),  3–19
30. Shape-Preserving Interpolation by Cubic Splines
    
    Mat. Zametki, 88:6 (2010),  836–844
31. The inverses of cyclic band matrices and the convergence of interpolation processes for derivatives of periodic interpolation splines
    
    Sib. Zh. Vychisl. Mat., 13:3 (2010),  243–253
32. Norm estimates for the inverses of matrices of monotone type and totally positive matrices
    
    Sibirsk. Mat. Zh., 50:6 (2009),  1248–1254
33. On complete interpolation spline finding via $B$-splines
    
    Sib. Èlektron. Mat. Izv., 5 (2008),  334–338
34. Использование $B$-сплайнов в задаче эмиссионной $2D$-томографии в рефрагирующей среде
    
    Sib. Zh. Ind. Mat., 11:3 (2008),  45–60
35. On the choice of approximations in direct problems of nozzle design
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007),  923–936
36. Selection of parameters of generalized cubic splines with convexity preserving interpolation
    
    Sib. Zh. Vychisl. Mat., 9:1 (2006),  5–22
37. Unconditional convergence of one more middle derivative for interpolation splines of odd degree
    
    Dokl. Akad. Nauk, 401:5 (2005),  592–594
38. Totally Positive Matrices in the Methods of Constructing Interpolation Splines of Odd Degree
    
    Mat. Tr., 7:2 (2004),  3–34
39. Comparison of basis functions in the direct design problem for the supersonic part of a nozzle
    
    Sib. Zh. Ind. Mat., 7:4 (2004),  48–58
40. A new method for constructing cubic interpolating splines
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004),  231–241
41. On estimation of entries of a matrix inverse to a cyclic band matrix
    
    Sib. Zh. Vychisl. Mat., 6:3 (2003),  263–267
42. Nonnegative Solutions to Systems with Symmetric Circulant Matrix
    
    Mat. Zametki, 70:2 (2001),  170–180
43. Best Error Bounds for the Derivative of a Quartic Interpolation Spline
    
    Mat. Tr., 1:2 (1998),  68–78
44. Constructing a mathematical model of a universal characteristic for a radial-axial hydroturbine
    
    Sib. Zh. Ind. Mat., 1:1 (1998),  77–88
45. Oscillation matrices in spline-interpolation problems
    
    Sibirsk. Mat. Zh., 28:3 (1987),  51–53


46. International S.B. Stechkin's Workshop-Conference on Function Theory dedicated to the 85th anniversary of Yu.N. Subbotin and N.I. Chernykh
    
    Sib. Èlektron. Mat. Izv., 18:2 (2021),  93–108
47. Splines as a geometric modeling tool (to the 80 anniversary of the birth of Yu. S. Zav'yalov)
    
    Sib. Èlektron. Mat. Izv., 8 (2011),  11–16