33 citations · 179 across the 44 of their papers we have counts for
10 papers · 1 filter
A convergent numerical algorithm for the stochastic growth-fragmentation problem
Dawei Wu, Zhennan Zhou
The stochastic growth-fragmentation model describes the temporal evolution of a structured cell population through a discrete-time and continuous-state Markov chain. The simulation…
Frozen Gaussian Sampling for Scalar Wave Equations
Lihui Chai, Ye Feng, Zhennan Zhou
In this article, we introduce the frozen Gaussian sampling (FGS) algorithm to solve the scalar wave equation in the high-frequency regime. The FGS algorithm is a Monte Carlo sampli…
Tumor boundary instability induced by nutrient consumption and supply
Yu Feng, Min Tang, Xiaoqian Xu +1
We investigate the tumor boundary instability induced by nutrient consumption and supply based on a Hele-Shaw model derived from taking the incompressible limit of a cell density m…
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness
Xu'an Dou, Zhennan Zhou
The nonlinear noisy leaky integrate-and-fire (NNLIF) model is a popular mean-field description of a large number of interacting neurons, which has attracted mathematicians to study…
Efficient Frozen Gaussian Sampling Algorithms for Nonadiabatic Quantum Dynamics at Metal Surfaces
Zhen Huang, Limin Xu, Zhennan Zhou
In this article, we propose a Frozen Gaussian Sampling (FGS) algorithm for simulating nonadiabatic quantum dynamics at metal surfaces with a continuous spectrum. This method consis…
Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits
Xuda Ye, Zhennan Zhou
The random batch method provides an efficient algorithm for computing statistical properties of a canonical ensemble of interacting particles. In this work, we study the error esti…