Creation of computational algorithms, analysis of their accuracy and efficiency (especially multigrid algorithms and two-sided methods); construction and numerical analysis of mathematical models, the creation of software packages for solving electronics problems, forecasting the motion of artificial earth satellites, wave diffraction, hydrodynamics; and also issues of network informatics and regional informatization.
Viktoriya S. Petrakova, Vladimir V. Shaidurov, “SIRV-D optimal control model for COVID-19 propagation scenarios”, J. Sib. Fed. Univ. Math. Phys., 16:1 (2023), 87–97
2022
2.
I. N. Ryzhenko, O. V. Nepomnyaschy, A. I. Legalov, V. V. Shaidurov, “Methods for change parallelism in process of high-level VLSI synthesis”, Model. Anal. Inform. Sist., 29:1 (2022), 60–72
2017
3.
V. V. Shaydurov, A. A. Korneeva, “A numerical method for analyzing nonlocal data from film thermoresistors of electronic boards”, Sib. Èlektron. Mat. Izv., 14 (2017), 914–926
2016
4.
Yuri L. Fateev, Vladimir V. Shaidurov, Evgeny N. Garin, Dmitry D. Dmitriev, Valeriy N. Tyapkin, “Probability distribution functions of the sum of squares of random variables in the non-zero mathematical expectations”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 173–179
5.
A. V. Vyatkin, E. V. Kuchunova, V. V. Shaydurov, “A semi-Lagrangian method on dynamically adapted grid for two-dimensional advection problem”, Sib. Èlektron. Mat. Izv., 13 (2016), 1219–1228
2013
6.
E. V. Dementyeva, E. D. Karepova, V. V. Shaidurov, “Recovery of a boundary function from observation data for the surface wave propagation problem in an open basin”, Sib. Zh. Ind. Mat., 16:1 (2013), 10–20
S. I. Isayeva, V. V. Shaidurov, “Mathematical model of the movement of the solid core of the Earth”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 1, 40–46
8.
H. Chen, Q. Lin, V. V. Shaidurov, J. Zhou, “Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 425–442; Num. Anal. Appl., 4:4 (2011), 345–362
V. V. Shaidurov, G. I. Shchepanovskaya, M. V. Yakubovich, “Application of the trajectory method and the finite element method to
the modeling of viscous heat-conductive gas motion”, Num. Meth. Prog., 12:2 (2011), 275–281
2010
10.
L. F. Nozhenkova, V. V. Shaydurov, “OLAP-technology of operative information-analytical support of organizational management”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2010, no. 2, 15–27
2009
11.
A. V. Vyatkin, V. V. Shaidurov, G. I. Shchepanovskaya, “Численное сферически-симметричное моделирование глубинной геодинамики”, Sib. Zh. Ind. Mat., 12:1 (2009), 40–48; J. Appl. Industr. Math., 4:2 (2010), 290–297
2008
12.
Alexander V. Vyatkin, Vladimir V. Shaidurov, Galina I. Shchepanovskaya, “The Finite Element Method for Modeling Spherically Symmetric Pulsations of the Earth”, J. Sib. Fed. Univ. Math. Phys., 1:3 (2008), 247–256
13.
L. V. Gilyova, V. V. Shaidurov, “Convergence of the multigrid cascadic algorithm for second order finite elements in a domain with a smooth boundary”, Sib. Zh. Vychisl. Mat., 11:4 (2008), 361–384; Num. Anal. Appl., 1:4 (2008), 293–313
L. V. Gilyova, V. V. Shaidurov, “Two multigrid iterative algorithms for a discrete analogue of the biharmonic equation”, Sib. Zh. Vychisl. Mat., 7:3 (2004), 213–228
2002
15.
L. V. Gilyova, V. V. Shaidurov, “A cascadic multigrid algorithm in the finite element method for the three-dimensional Dirichlet problem in a curvilinear boundary domain”, Sib. Zh. Vychisl. Mat., 5:2 (2002), 127–147
L. V. Gilyova, V. V. Shaidurov, “Justification of asymptotic stability of the triangulation algorithm for a three-dimensional domain”, Sib. Zh. Vychisl. Mat., 3:2 (2000), 123–136
E. G. Bykova, V. V. Shaidurov, “A nonuniform difference scheme with fourth order of accuracy in a domain with smooth boundary”, Sib. Zh. Vychisl. Mat., 1:2 (1998), 99–117
1974
18.
V. V. Shaidurov, G. I. Marchuk, “On the numerical solution of an evolution problem with a bounded operator”, Dokl. Akad. Nauk SSSR, 216:1 (1974), 39–41
Полулагранжева аппроксимация в нестационарных уравнениях Навье–Стокса V. V. Shaidurov, G. I. Shchepanovskaya, M. V. Yakubovich Междкнародная конференция, посвященная 90-летию со дня рождения Г. И. Марчука "Современные проблемы вычислительной математики и математического моделирования" June 9, 2015 16:00