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20102026
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations

Showing 2017Show all

27 papers · 1 filter

hep-ph2017★ 22 cited

General one-loop formulas for decay

L. T. Hue, A. B. Arbuzov, T. T. Hong +3

Radiative corrections to the are evaluated in the one-loop approximation. The unitary gauge gauge is used. The analytic result is expressed in terms of the Passar…

cond-mat.mes-hall2017★ 16 cited

Conditional electron confinement in graphene via smooth magnetic fields

Dai-Nam Le, Van-Hoang Le, Pinaki Roy

In this article we discuss confinement of electrons in graphene via smooth magnetic fields which are finite everywhere on the plane. We shall consider two types of magnetic fields…

math.OC2017★ 53 cited

New inertial regularized algorithm for solving strongly pseudomonotone equilibrium problems

Dang Van Hieu

The article introduces a new algorithm for solving a class ofequilibrium problems involving strongly pseudomonotone bifunctions with Lipschitz-type condition. We describe how to in…

quant-ph2017★ 3 cited

Analytic approximation for eigenvalues of a class of symmetric Hamiltonians

O. D. Skoromnik, I. D. Feranchuk

An analytical approximation for the eigenvalues of symmetric Hamiltonian , is developed via simple basis se…

astro-ph.GA2017★ 35 cited

Verifying reddening and extinction for Gaia DR1 TGAS main sequence stars

George Gontcharov, Aleksandr Mosenkov

We compare eight sources of reddening and extinction estimates for approximately 60,000 {\it Gaia} DR1 Tycho--Gaia Astrometric Solution (TGAS) main sequence stars younger than 3~Gy…

cs.SC2017★ 2 cited

Rational Solutions of High-Order Algebraic Ordinary Differential Equations

Thieu N. Vo, Yi Zhang

We consider algebraic ordinary differential equations (AODEs) and study their polynomial and rational solutions. A sufficient condition for an AODE to have a degree bound for its p…