33 citations · 179 across the 44 of their papers we have counts for
4 papers · 1 filter
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics
Jianfeng Lu, Yulong Lu, Zhennan Zhou
We investigate the continuum limit that the number of beads goes to infinity in the ring polymer representation of thermal averages. Studying the continuum limit of the trajectory…
Data clustering based on Langevin annealing with a self-consistent potential
Kyle Lafata, Zhennan Zhou, Jian-Guo Liu +1
This paper introduces a novel data clustering algorithm based on Langevin dynamics, where the associated potential is constructed directly from the data. To introduce a self-consis…
The Gaussian wave packets transform for the semi-classical Schrödinger equation with vector potentials
Zhennan Zhou, Giovanni Russo
In this paper, we reformulate the semi-classical Schrödinger equation in the presence of electromagnetic field by the Gaussian wave packets transform. With this approach, the highl…
Analysis and computation of some tumor growth models with nutrient: from cell density models to free boundary dynamics
Jian-Guo Liu, Min Tang, Li Wang +1
In this paper, we study the tumor growth equation along with various models for the nutrient component, including the \emph{in vitro} model and the \emph{in vivo} model. At the cel…