DSpace Collection:http://dspace.wunu.edu.ua/handle/316497/149212024-03-28T08:56:37Z2024-03-28T08:56:37ZDistributed sensor network for security systemsBykovyy, Pavlohttp://dspace.wunu.edu.ua/handle/316497/321492018-12-10T13:33:30Z2009-01-01T00:00:00ZTitle: Distributed sensor network for security systems
Authors: Bykovyy, Pavlo
Abstract: The low-cost network controller for security systems detectors was designed. The controller’s specifics lies in two-wired network interface with the “common bus” topology support. This design reduces the amount of data communication channels from detectors.2009-01-01T00:00:00ZДистрибутивна сенсорна мережа для систем безпекиБиковий, Павлоhttp://dspace.wunu.edu.ua/handle/316497/321482018-12-10T13:31:02Z2009-01-01T00:00:00ZTitle: Дистрибутивна сенсорна мережа для систем безпеки
Authors: Биковий, Павло
Abstract: Розроблено дешевий мережевий контролер для сповіщувачів систем безпеки. Особливістю даного
контролера є підтримка функціонування в двопровідній мережі топології “спільна шина”, що значно зменшує
кількість ліній передачі даних від сповіщувачів.2009-01-01T00:00:00ZMaximal using of specifics of some boundary problems in potential theory after their numerical analysisMochurad, L. I.Harasym, Y. S.Ostudin, B. A.http://dspace.wunu.edu.ua/handle/316497/321472018-12-10T13:25:46Z2009-01-01T00:00:00ZTitle: Maximal using of specifics of some boundary problems in potential theory after their numerical analysis
Authors: Mochurad, L. I.; Harasym, Y. S.; Ostudin, B. A.
Abstract: Some typical problems in the numerical analysis of certain types of boundary value problems of the potential theory in substantially spatial formulation are considered. On the basis of the integral equation method (IE) an approximate scheme of solving one model example is built and investigated. It is also considered that the doubly connected open surface where boundary conditions are set obtains the Abelian group of symmetry of the eighth order. This article shows how using the apparatus of the group theory it is possible to solve an initial problem by the help of the sequence of the eight independent IEs, where the integration is realized only on one of the congruent constituents of the surface. It creates the conditions for two parallel processes of problem solution in general. The collocation method for obtaining approximate values of needed “density of charge distribution” in the particular two-dimensional integral equations is used. To take into account the singular way of solving the problem in the circuit of the open surface the a posteriori method of error evaluation is created and the procedure of integrating clarification of solving the task in the mesh node is implemented. To prove the reliability and estimation of the technique efficiency the number of numerical experiments is carried out including the use of so called “plane” approximation of the examined spatial problem.2009-01-01T00:00:00ZAnalysis of the 2-sum problem and the spectral algorithmKolomiychuk, Alexanderhttp://dspace.wunu.edu.ua/handle/316497/321462018-12-10T13:19:53Z2009-01-01T00:00:00ZTitle: Analysis of the 2-sum problem and the spectral algorithm
Authors: Kolomiychuk, Alexander
Abstract: This paper presents the analysis of the 2-sum problem and the spectral algorithm. The spectral algorithm
was proposed by Barnard, Pothen and Simon in [1]; its heuristic properties have been advocated by George and
Pothen in [4] by formulation of the 2-sum problem as a Quadratic Assignment Problem. In contrast to that analysis
another approach is proposed: permutations are considered as vectors of Euclidian space. This approach enables one
to prove the bound results originally obtained in [4] in an easier way. The geometry of permutations is considered in
order to explain what are ‘good’ and ‘pathological’ situations for the spectral algorithm. Upper bounds for
approximate solutions generated by the spectral algorithm are proved. The results of numerical computations on
(graphs of) large sparse matrices from real-world applications are presented to support the obtained results and
illustrate considerations related to the ‘pathological’ cases.2009-01-01T00:00:00Z