33 citations · 179 across the 44 of their papers we have counts for
4 papers · 1 filter
On Runge-Kutta methods for the water wave equation and its simplified nonlocal hyperbolic model
Lei Li, Jian-Guo Liu, Zibu Liu +2
There is a growing interest in investigating numerical approximations of the water wave equation in recent years, whereas the lack of rigorous analysis of its time discretization i…
Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping
Jianfeng Lu, Zhennan Zhou
To accelerate the thermal equilibrium sampling of multi-level quantum systems, the infinite swapping limit of a recently proposed multi-level ring polymer representation is investi…
An accurate front capturing scheme for tumor growth models with a free boundary limit
Jian-Guo Liu, Min Tang, Li Wang +1
We consider a class of tumor growth models under the combined effects of density-dependent pressure and cell multiplication, with a free boundary model as its singular limit when t…
Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems
Jianfeng Lu, Zhennan Zhou
In this work, a novel ring polymer representation for multi-level quantum system is proposed for thermal average calculations. The proposed presentation keeps the discreteness of t…