357 citations · 875 across the 60 of their papers we have counts for
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math.AP2015★ 1 cited
The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene
Ali Faraj, Shi Jin
A Lagrangian surface hopping algorithm is implemented to study the two dimensional massless Dirac equation for Graphene with an electrostatic potential, in the semiclassical regime…
math.NA2015★ 11 cited
An Asymptotic Preserving Two-Dimensional Staggered Grid Method for multiscale transport equations
Kerstin Küpper, Martin Frank, Shi Jin
We propose a two-dimensional asymptotic preserving scheme for linear transport equations with diffusive scalings. It is an extension of the time splitting developed by Jin, Paresch…