1 citations · 1 across the 3 of their papers we have counts for
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Asymptotic behavior of Eckhoff's method for convergence acceleration of Dirac eigenfunction expansions
R. H. Barkhudaryan, G. G. Gevorkyan, L. D. Poghosyan
The current paper considers the problem of recovering a vector-function on from a limited number of coefficients of its expansion into a series of eigenfunctions of a one-…
Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's
Avetik Arakelyan, Rafayel Barkhudaryan
The present work is focused on exploring convergence of Physics-informed Neural Networks (PINNs) when applied to a specific class of second-order fully nonlinear Partial Differenti…
Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles
Avetik Arakelyan, Rafayel Barkhudaryan, Henrik Shahgholian +1
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 iterat…
A Numerical Approach for a General Class of the Spatial Segregation of Reaction-Diffusion Systems Arising in Population Dynamics
Avetik Arakelyan, Rafayel Barkhudaryan
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…
Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method
Avetik Arakelyan, Rafayel Barkhudaryan, Michael Poghosyan
In this paper we consider the numerical approximation of the two-phase membrane (obstacle) problem by finite difference method. First, we introduce the notion of viscosity solution…