Zobrazeno 1 - 10
of 22
pro vyhledávání: '"N. A. Lebedinskaya"'
Autor:
Yu.K. Dem’yanovich, N. A. Lebedinskaya
Publikováno v:
Journal of Mathematical Sciences. 269:18-35
Publikováno v:
WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL. 17:527-534
In this paper, we have developed a new approach to the local improvement of an approximate solution which has been obtained with the finite element method. The proposed improvement is adaptive, and it minimizes the energy functional. The discussed al
Publikováno v:
Journal of Mathematical Sciences. 240:833-838
The paper computes the Hilbert basis of the cone constructed from matrices describing generic situations, i.e., such vector subspaces in a finite direct sum of finite-dimensional subspaces that are in generic position with respect to the direct summa
Publikováno v:
Journal of Mathematical Sciences. 232:921-925
The following generalization of the theorem on forming a matroid from parts is proved: If a finite set is subdivided into some blocks, each of which is supplied with a matroid structure, and the ranks of every union of certain blocks are prescribed a
Publikováno v:
Journal of Mathematical Sciences. 232:816-829
Adaptive algorithms for constructing spline-wavelet decompositions of matrix flows from a linear space of matrices over a normed field are presented. The algorithms suggested provides for an a priori prescribed estimate of the deviation of the basic
Publikováno v:
Journal of Mathematical Sciences. 224:937-941
The paper considers the problem on the dimensions of intersections of a subspace in the direct sum of a finite series of finite-dimensional vector spaces with sums of pairs of direct summands, provided that the subspace intersection with each of thes
Publikováno v:
Journal of Mathematical Sciences. 216:770-782
Two-sided estimates for the continuously differentiable coordinate splines of the second order are established, and sufficient conditions of their nonnegativity are provided. The results obtained are applied to trigonometric splines.
Autor:
D. M. Lebedinskii, N. A. Lebedinskaya
Publikováno v:
Vestnik St. Petersburg University: Mathematics. 42:116-119
It is proved that any triangulation of a flat polygonal region can be refined by using repeated subdivisions of an edge so that: (1) the maximum diameter of the triangles would be less than any pre-assigned positive number, and (2) the minimum interi
Autor:
N. A. Lebedinskaya, D. M. Lebedinskii
Publikováno v:
Vestnik St. Petersburg University: Mathematics. 42:14-18
For the Zlamal approximation (a piecewise-polynomial continuous approximation of degree at most two), it is proved that the space of approximating functions obtained by subdividing a triangulation contains the space corresponding to the given triangu
Autor:
N. A. Lebedinskaya, D. M. Lebedinskii
Publikováno v:
Vestnik St. Petersburg University: Mathematics. 45:125-127
This work is devoted to the problem of organization of data structure for the realization of a multidimensional dictionary. In this paper, a generalization of k-d-trees is suggested, which admits local reorganizations in contrast to the classical ver