Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Arakelyan, Avetik"'
In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connected graphs by using direct analogue of the corresponding competitive s
Externí odkaz:
http://arxiv.org/abs/2211.16030
Autor:
Arakelyan, Avetik, Bozorgnia, Farid
In this work we prove uniqueness result for an implicit discrete system defined on connected graphs. Our discrete system is motivated from a certain class of spatial segregation of reaction-diffusion equations.
Comment: 14 pages, 1 figure
Comment: 14 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2207.11957
Autor:
Arakelyan, Avetik, Bozorgnia, Farid
Publikováno v:
In Nonlinear Analysis February 2024 239
Autor:
Bozorgnia, Farid, Arakelyan, Avetik
Publikováno v:
In Journal of Computational and Applied Mathematics 15 December 2023 434
Publikováno v:
In Journal of Computational Science December 2023 74
In this paper we continue to study a non-local free boundary problem arising in financial bubbles. We focus on the parabolic counterpart of the bubble problem and suggest an iterative algorithm which consists of a sequence of parabolic obstacle probl
Externí odkaz:
http://arxiv.org/abs/1704.08490
In this paper we shall initiate the study of the two- and multi-phase quadrature surfaces (QS), which amounts to a two/multi-phase free boundary problems of Bernoulli type. The problem is studied mostly from a potential theoretic point of view that (
Externí odkaz:
http://arxiv.org/abs/1610.02637
Autor:
Arakelyan, Avetik, Bozorgnia, Farid
This work is devoted to prove uniqueness result for the positive solution to a strongly competing system of Lotka - Volterra type in the limiting configuration, when the competition rate tends to infinity.
Comment: 9 pages, Spatial segregation,
Comment: 9 pages, Spatial segregation,
Externí odkaz:
http://arxiv.org/abs/1609.00986
Autor:
Arakelyan, Avetik
In this work we prove convergence of the finite difference scheme for equations of stationary states of a general class of the spatial segregation of reaction-diffusion systems with $m\geq 2$ components. More precisely, we show that the numerical sol
Externí odkaz:
http://arxiv.org/abs/1608.02188
In the current work we consider the numerical solutions of equations of stationary states for a general class of the spatial segregation of reaction-diffusion systems with $m\geq 2$ population densities. We introduce a discrete multi-phase minimizati
Externí odkaz:
http://arxiv.org/abs/1603.03196