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Avetik Arakelyan
Avetik Arakelyan
Researcher at Institute of Mathematics, NAS of Armenia
Verified email at kth.se - Homepage
Title
Cited by
Cited by
Year
Numerical solution of the two-phase obstacle problem by finite difference method
A Arakelyan, R Barkhudaryan, M Poghosyan
arXiv preprint arXiv:1407.0781, 2014
192014
Numerical algorithms for a variational problem of the spatial segregation of reaction–diffusion systems
F Bozorgnia, A Arakelyan
Applied Mathematics and Computation 219 (17), 8863-8875, 2013
142013
Uniqueness of limiting solution to a strongly competing system
A Arakelyan, F Bozorgnia
Texas State University, Department of Mathematics, 2017
122017
A finite difference method for two-phase parabolic obstacle-like problem
A Arakelyan
arXiv preprint arXiv:1111.6287, 2011
102011
Finite difference scheme for two-phase obstacle problem
AG Arakelyan, RH Barkhudaryan, MP Poghosyan
Dokl. Nats. Akad. Nauk Armen 111 (3), 224-231, 2011
102011
A numerical approach for a general class of the spatial segregation of reaction–diffusion systems arising in population dynamics
A Arakelyan, R Barkhudaryan
Computers & Mathematics with Applications 72 (11), 2823-2838, 2016
92016
Multi-phase quadrature domains and a related minimization problem
A Arakelyan, H Shahgholian
Potential Analysis 45 (1), 135-155, 2016
92016
Convergence of the finite difference scheme for a general class of the spatial segregation of reaction–diffusion systems
A Arakelyan
Computers & Mathematics with Applications 75 (12), 4232-4240, 2018
72018
Graph based semi-supervised learning using spatial segregation theory
F Bozorgnia, M Fotouhi, A Arakelyan, A Elmoataz
Journal of Computational Science 74, 102153, 2023
62023
An error estimate for the finite difference scheme for one-phase obstacle problem
A Arakelyan, R Barkhudaryan, M Poghosyan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences …, 2011
62011
Approximation of the second eigenvalue of the -Laplace operator in symmetric domains
F Bozorgnia
arXiv preprint arXiv:1907.13390, 2019
22019
Uniqueness of a solution to a general class of discrete system defined on connected graphs
A Arakelyan, F Bozorgnia
Nonlinear Analysis 239, 113439, 2024
12024
Graph-based semi-supervised learning for classification of imbalanced data
F Bozorgnia, A Arakelyan, R Taban
Submitted to Conference ENUMATH, 2023
12023
Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles
A Arakelyan, R Barkhudaryan, H Shahgholian, M Salehi
Bulletin of the Iranian Mathematical Society 45, 59-73, 2019
12019
Two-and multi-phase quadrature surfaces
A Arakelyan, JV Prajapat, H Shahgholian
arXiv preprint arXiv:1610.02637, 2016
12016
Investigating the stochastic spatial processes of destruction mechanics at penetration of bodies into media
AG Arakelyan, AA Vantsyan
НАЦИОНАЛЬНОГО ПОЛИТЕХНИЧЕСКОГО УНИВЕРСИТЕТА АРМЕНИИ, 19, 2015
12015
On convergence of numerical algorithm of a class of the spatial segregation of reaction-diffusion system with two population densities
A Arakelyan
arXiv preprint arXiv:1306.0707, 2013
12013
Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's
A Arakelyan, R Barkhudaryan
arXiv preprint arXiv:2501.04013, 2024
2024
A general class of finite difference schemes arising in numerical analysis of Reaction-diffusion systems
A Arakelyan, R Barkhudaryan
2018
On a general class of the finite difference schemes arising in Reaction-diffusion systems
A Arakelyan, R Barkhudaryan
SERGEY MERGELYAN, 17, 2018
2018
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