3 citations · 11 across the 7 of their papers we have counts for
7 papers · 1 filter
Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders
Zihang Zhang, Qiwei Zhan, Zhennan Zhou
In this paper, we investigate fast algorithms in the small fraction order regime to approximate the Caputo derivative when is small. We focus on two fast algori…
A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform
Borui Miao, Giovanni Russo, Zhennan Zhou
In this article, we develop and analyse a new spectral method to solve the semi-classical Schrödinger equation based on the Gaussian wave-packet transform (GWPT) and Hagedorn's sem…
A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels
Yong Zhang, Yu Zhao, Zhennan Zhou
In this paper, we consider a nonlinear and nonlocal parabolic model for multi-species ionic fluids and introduce a semi-implicit finite volume scheme, which is second order accurat…
Multi-level Monte Carlo path integral molecular dynamics for thermal average calculation in the nonadiabatic regime
Xiaoyu Lei, Zhennan Zhou
With the path integral approach, the thermal average in a multi-electronic-state quantum systems can be approximated by the ring polymer representation on an extended configuration…
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration
Jingwei Hu, Jian-Guo Liu, Yantong Xie +1
In this work, we are concerned with the Fokker-Planck equations associated with the Nonlinear Noisy Leaky Integrate-and-Fire model for neuron networks. Due to the jump mechanism at…
The Bayesian Inversion Problem for Thermal Average Sampling of Quantum Systems
Ziheng Chen, Zhennan Zhou
In this article, we propose a novel method for sampling potential functions based on noisy observation data of a finite number of observables in quantum canonical ensembles, which…