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math.NA2020★ 3 cited
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system
Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras +1
We develop a new finite difference scheme for the Maxwell-Stefan diffusion system. The scheme is conservative, energy stable and positivity-preserving. These nice properties stem f…
math.NA2019★ 3 cited
A positivity-preserving and energy stable scheme for a quantum diffusion equation
Xiaokai Huo, Hailiang Liu
We propose a new fully-discretized finite difference scheme for a quantum diffusion equation, in both one and two dimensions. This is the first fully-discretized scheme with proven…