3 papers
math.NA2026
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-…
math.AP2026
The Financial Bubble Model with Lévy Jump Processes
Avetik Arakelyan, Rafayel Barkhudaryan, Vigen Khalatyan +1
In this work we consider an extension of the Berestycki--Monneau--Scheinkman (BMS) model for speculative financial bubbles, in which the investor disagreement process is allowed to…
math.NA2024
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…