1973–1978 — student of the faculty of Mathematics and Mechanics of the Ural State University (Ekaterimburg, Russia),
1978–1980 — probationer-researcher at the Institute of Mathematics and Mechanics (IMM) of Ural Science Center of Sciences Academy of USSR,
1980–1983 — engineer (IMM),
1983–1990 — junior scientific researcher (IMM),
1987 — thesis for candidat degree "Approximation of functions by L-splines",
1990–1992 — scientific researcher (IMM),
1992 – p./t. — senior scientific researcher at the IMM of Ural Branch of Russian Academy of Sciences,
1996 – p./t. — associate professor, Ural State University.
Main publications:
Novikov S. I. On L-spline interpolation and approximation on the whole real line // Banach Center Publications, 1989, vol. 22 (Warsaw), p. 293–300.
Novikov S. I. On some problems of interpolation by L-splines // Analysis Mathematica, 1992, vol. 18, no. 1, p. 73–86.
Novikov S. I. Optimal interpolation by L-splines // Optimal Recovery, Nova Sci. Publ., New York, USA, 1992, p. 237–245.
Novikov S. I. L_p-approximation by piecewise Hermitian L-splines // East Journal on Approximations, 1995, vol. 1, no. 2, p. 143–156.
Novikov S. I. Generalization of the Rolle theorem // East Journal on Approximations, 1995, vol. 1, no. 4, p. 571–575.
Novikov S. I. Exact values of widths for some classes of periodic functions // East Journal on Approximations, 1998, vol. 4, no. 1, p. 35–54.
S. I. Novikov, “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
2022
2.
Yu. S. Volkov, S. I. Novikov, “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; Siberian Math. J., 63:4 (2022), 677–690
3.
S. I. Novikov, “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; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S193–S203
2020
4.
S. I. Novikov, V. T. Shevaldin, “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
S. I. Novikov, V. T. Shevaldin, “On the connection between the second divided difference and the second derivative”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020), 216–224
S. I. Novikov, “Extremal function interpolation for a second-order linear differential operator”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:4 (2019), 164–176
2018
7.
Yu. N. Subbotin, S. I. Novikov, V. T. Shevaldin, “Extremal functional interpolation and splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018), 200–225
Sergey I. Novikov, “On interpolation by almost trigonometric splines”, Ural Math. J., 3:2 (2017), 67–73
2016
9.
S. I. Novikov, “Lebesgue constants for some interpolational ${\mathcal L}$-splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016), 215–224; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 136–144
S. I. Novikov, “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.
S. I. Novikov, “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; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 238–244
2013
12.
S. I. Novikov, “On an interpolation problem with a minimum value of the Laplace operator”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:3 (2013), 230–243
S. I. Novikov, “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
S. I. Novikov, “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
B. G. Grebenshchikov, S. I. Novikov, “Instability of systems with linear delay reducible to singularly perturbed ones”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2, 3–13; Russian Math. (Iz. VUZ), 54:2 (2010), 1–10
S. I. Novikov, V. T. Shevaldin, “A problem of extremal interpolation for multivariate functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001), 144–159; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S150–S166
S. I. Novikov, “The periodic analog of Rolle's theorem for differential operators and approximation by $L$-splines”, Mat. Zametki, 56:4 (1994), 102–113; Math. Notes, 56:4 (1994), 1061–1068
1987
20.
S. I. Novikov, “Widths of a class of periodic functions defined by a differential operator”, Mat. Zametki, 42:2 (1987), 194–206; Math. Notes, 42:2 (1987), 613–619
E. Yu. Klimenko, N. N. Martovetskiy, S. I. Novikov, “CURRENT STABILITY IN THE T-15 SMS DEVICE DURING PLASMA CURRENT BLOW-OUT”, Zhurnal Tekhnicheskoi Fiziki, 55:6 (1985), 1076–1083
1983
22.
S. I. Novikov, “Approximation of a class of differentiable functions by $\mathscr{L}$-splines”, Mat. Zametki, 33:3 (1983), 393–408; Math. Notes, 33:3 (1983), 200–208
R. R. Akopyan, N. Yu. Antonov, V. V. Arestov, A. G. Babenko, N. V. Baidakova, V. I. Berdyshev, V. V. Vasin, S. I. Novikov, N. L. Patsko, A. G. Chentsov, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (A Tribute to His Memory)”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 9–16; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S1–S6
2007
24.
V. V. Arestov, V. I. Berdyshev, O. V. Besov, N. N. Krasovskii, S. M. Nikol'skii, S. I. Novikov, Yu. S. Osipov, S. A. Telyakovskii, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (on his 70th birthday)”, Uspekhi Mat. Nauk, 62:2(374) (2007), 187–190; Russian Math. Surveys, 62:2 (2007), 403–406
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