30 citations · 228 across the 45 of their papers we have counts for
11 papers · 1 filter
A positive and moment-preserving Fourier spectral method
Zhenning Cai, Bo Lin, Meixia Lin
This paper presents a novel Fourier spectral method that utilizes optimization techniques to ensure the positivity and conservation of moments in the space of trigonometric polynom…
Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits
Zhenning Cai, Di Fang, Jianfeng Lu
Surface hopping algorithms, as an important class of quantum dynamics simulation algorithms for non-adiabatic dynamics, are typically performed in the adiabatic representation, whi…
An entropic method for discrete systems with Gibbs entropy
Zhenning Cai, Jingwei Hu, Yang Kuang +1
We consider general systems of ordinary differential equations with monotonic Gibbs entropy, and introduce an entropic scheme that simply imposes an entropy fix after every time st…
Numerical Solver for the Boltzmann Equation With Self-Adaptive Collision Operators
Zhenning Cai, Yanli Wang
We use the Burnett spectral method to solve the Boltzmann equation whose collision term is modeled by separate treatments for the low-frequency part and high-frequency part of the…
On the validity of complex Langevin method for path integral computations
Zhenning Cai, Xiaoyu Dong, Yang Kuang
The complex Langevin (CL) method is a classical numerical strategy to alleviate the numerical sign problem in the computation of lattice field theories. Mathematically, it is a sim…
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth
Zhenning Cai, Jianfeng Lu, Siyao Yang
We consider the numerical analysis of the inchworm Monte Carlo method, which is proposed recently to tackle the numerical sign problem for open quantum systems. We focus on the gro…