2 papers
math.NA2016
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations
Jian-Guo Liu, Li Wang, Zhennan Zhou
We propose a semi-discrete scheme for 2D Keller-Segel equations based on a symmetrization reformation, which is equivalent to the convex splitting method and is free of any nonline…
math.NA2016
Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms
Jianfeng Lu, Zhennan Zhou
We develop a surface hopping algorithm based on frozen Gaussian approximation for semiclassical matrix Schrödinger equations, in the spirit of Tully's fewest switches surface hoppi…