47 citations · 317 across the 48 of their papers we have counts for
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math.NA2014★ 26 cited
Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics
Qin Li, Jianfeng Lu, Weiran Sun
In this paper we construct numerical schemes to approximate linear transport equations with slab geometry by diffusion equations. We treat both the case of pure diffusive scaling a…
math.AP2014★ 7 cited
A convergent method for linear half-space kinetic equations
Qin Li, Jianfeng Lu, Weiran Sun
We give a unified proof for the well-posedness of a class of linear half-space equations with general incoming data and construct a Galerkin method to numerically resolve this type…
math.NA2014
A multi-band semiclassical model for surface hopping quantum dynamics
Lihui Chai, Shi Jin, Qin Li +1
In the paper we derive a semiclassical model for surface hopping allowing quantum dynamical non-adiabatic transition between different potential energy surfaces in which cases the…