Vestnik St. Petersburg University, Mathematics
Công bố khoa học tiêu biểu
* Dữ liệu chỉ mang tính chất tham khảo
Sắp xếp:
Coupled damping vibrations of composite structures
Vestnik St. Petersburg University, Mathematics - Tập 45 - Trang 168-173 - 2013
This paper summarizes the results of a series of papers on developing methods for deter-mining elastic-dissipative characteristics of polymer composite materials (PCM) and predicting the corresponding dynamical responses from structures. For a prismatic anisotropic bar which is arbitrarily oriented with respect to the axes of elastic symmetry of an orthotropic plate, a mathematical model and a met......
An Estimate of Average Case Approximation Complexity for Tensor Degrees of Random Processes
Vestnik St. Petersburg University, Mathematics - Tập 54 - Trang 351-360 - 2021
We consider random fields that are tensor degrees of a random process of second order with a continuous covariance function. The average case approximation complexity of a random field is defined as the minimal number of evaluations of linear functionals needed to approximate the field with a relative twofold average error not exceeding a given threshold. In the present paper, we estimate the grow......
Formulation and Solution of a Generalized Chebyshev Problem: Second Part
Vestnik St. Petersburg University, Mathematics - - 2020
Bases of singular solutions in problems of mechanics of cracks
Vestnik St. Petersburg University, Mathematics - Tập 41 - Trang 303-314 - 2009
The mechanics of cracks serves as a remarkable example of a consistent application of the general results of the theory of elliptic boundary value problems to domains with piecewise smooth boundaries (see key papers [1–3] and also monographs [4, 5]). In the first place, this applies to the analysis of the behavior of stress-strain state in the vicinity of the crack tip and to operations involving ......
Constructive Description of Hölder Classes on Some Multidimensional Compact Sets
Vestnik St. Petersburg University, Mathematics - Tập 54 Số 3 - Trang 245-253 - 2021
Optimization of the quasi-Monte Carlo algorithm for solving systems of linear algebraic equations
Vestnik St. Petersburg University, Mathematics - Tập 41 Số 1 - Trang 60-64 - 2008
Power Series of One Variable with Condition of Logarithmical Convexity
Vestnik St. Petersburg University, Mathematics - Tập 53 - Trang 20-28 - 2020
We obtain a new version of the Hardy theorem about power series reciprocal to the power series with positive coefficients in this work. We prove that, if the sequence {an}, n ≥ K is logarithmically convex, then the reciprocal power series has only negative coefficients bn, n > 0 for any K if the first coefficient a0 is sufficiently large. The classical Hardy theorem corresponds to the case K = 0. ......
On the Asymptotic Power of a Method for Testing Hypotheses on the Equality of Distributions
Vestnik St. Petersburg University, Mathematics - - 2023
An improved nonlinear Reynolds equation for a thin flow of a viscous incompressible fluid
Vestnik St. Petersburg University, Mathematics - Tập 41 - Trang 171-175 - 2008
A scalar nonlinear second-order equation describing a fluid flow between two closely spaced rigid walls is constructed on the basis of an asymptotic analysis of the Navier-Stokes equations. This equation takes into account the convective term and the surface curvature; it improves the Reynolds equation and provides a two-term asymptotics for the solution to the initial problem. Integral and pointw......
On some problems of guaranteed search on graphs
Vestnik St. Petersburg University, Mathematics - Tập 43 - Trang 68-73 - 2010
Pursuit-evasion differential games on graphs with no information on the evader are considered. Special attention is given to the following ɛ-search problem posed by Golovach. A topological graph embedded in three-dimensional Euclidean space is considered. For simplicity, its edges are assumed to be polygonal, only simple motions of the pursuers and the evader are allowed, and the graph is a phase ......
Tổng số: 531
- 1
- 2
- 3
- 4
- 5
- 6
- 10