Novikov Sergey Igorevich

Publications in Math-Net.Ru

1. Optimal interpolation on an interval with the smallest mean-square norm of the $r$th derivative
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  217–228
2. 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
3. On an Interpolation Problem with the Smallest $L_2$-Norm of the Laplace Operator
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  143–153
4. Extremal interpolation on the semiaxis with the smallest norm of the third derivative
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  210–223
5. On the connection between the second divided difference and the second derivative
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  216–224
6. Extremal function interpolation for a second-order linear differential operator
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 25:4 (2019),  164–176
7. Extremal functional interpolation and splines
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  200–225
8. On interpolation by almost trigonometric splines
   
   Ural Math. J., 3:2 (2017),  67–73
9. Lebesgue constants for some interpolational ${\mathcal L}$-splines
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  215–224
10. Interpolation by functions from a Sobolev space with minimum $L_p$-norm of the Laplace operator
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  212–222
11. On estimates for the uniform norm of the Laplace operator of the best interpolants on a class of bounded interpolation data
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  191–196
12. On an interpolation problem with a minimum value of the Laplace operator
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:3 (2013),  230–243
13. Interpolation on a square with a minimum value of the uniform norm of the Laplace operator
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  249–257
14. Interpolation in a ball with a minimum value of the $L_p$-norm of the Laplace operator
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  258–265
15. Instability of systems with linear delay reducible to singularly perturbed ones
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2,  3–13
16. Periodic interpolation with a minimum norm of the $m$-th derivative
    
    Sib. Zh. Vychisl. Mat., 9:2 (2006),  165–172
17. A problem of extremal interpolation for multivariate functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  144–159
18. On solvability of a spectral boundary value problem
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  174–182
19. The periodic analog of Rolle's theorem for differential operators and approximation by $L$-splines
    
    Mat. Zametki, 56:4 (1994),  102–113
20. Widths of a class of periodic functions defined by a differential operator
    
    Mat. Zametki, 42:2 (1987),  194–206
21. CURRENT STABILITY IN THE T-15 SMS DEVICE DURING PLASMA CURRENT BLOW-OUT
    
    Zhurnal Tekhnicheskoi Fiziki, 55:6 (1985),  1076–1083
22. Approximation of a class of differentiable functions by $\mathscr{L}$-splines
    
    Mat. Zametki, 33:3 (1983),  393–408


23. Yurii Nikolaevich Subbotin (A Tribute to His Memory)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  9–16
24. Yurii Nikolaevich Subbotin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 62:2(374) (2007),  187–190