Zhenning Cai

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 30

Top Topics

Monte Carlo Method

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Zhenning Cai, Bo Lin, Meixia Lin
A Positive and Moment-Preserving Fourier Spectral Method. SIAM J. Numer. Anal. 62 (1) (2024)
Zhenning Cai, Manuel Torrilhon, Siyao Yang
Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules. SIAM J. Appl. Math. 84 (1) (2024)
Zhenning Cai, Geshuo Wang, Siyao Yang
The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems. SIAM J. Sci. Comput. 45 (4) (2023)
Zhenning Cai, Bo Lin, Meixia Lin
A positive and moment-preserving Fourier spectral method. CoRR (2023)
Xiaoyu Dong, Zhenning Cai
Iterative methods of linearized moment equations for rarefied gases. CoRR (2023)
Michael R. A. Abdelmalik, Zhenning Cai, Teddy Pichard
Some extensions of the φ-divergence moment closures for the radiative transfer equation. CoRR (2023)
Tianai Yin, Zhenning Cai, Yanli Wang
A symmetric Gauss-Seidel method for the steady-state Boltzmann equation. CoRR (2023)
Zhenning Cai, Di Fang, Jianfeng Lu
Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits. CoRR (2022)
Geshuo Wang, Zhenning Cai
Differential Equation Based Path Integral for Open Quantum Systems. SIAM J. Sci. Comput. 44 (1) (2022)
Zhenning Cai, Yanli Wang
Numerical Solver for the Boltzmann Equation with Self-Adaptive Collision Operators. SIAM J. Sci. Comput. 44 (2) (2022)
Hongfei Zhan, Zhenning Cai, Guanghui Hu
The Wigner function of ground state and one-dimensional numerics. J. Comput. Phys. 449 (2022)
Zhenning Cai, Jianfeng Lu, Siyao Yang
Fast algorithms of bath calculations in simulations of quantum system-bath dynamics. Comput. Phys. Commun. 278 (2022)
Zhenning Cai, Jingwei Hu, Yang Kuang, Bo Lin
An Entropic Method for Discrete Systems with Gibbs Entropy. SIAM J. Numer. Anal. 60 (4) (2022)
Zhenning Cai, Jianfeng Lu, Siyao Yang
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth. Math. Comput. 92 (341) (2022)
Zhenning Cai, Yanli Wang
Numerical Solver for the Boltzmann Equation With Self-Adaptive Collision Operators. CoRR (2021)
Zhenning Cai, Xiaoyu Dong, Yang Kuang
On the Validity of Complex Langevin Method for Path Integral Computations. SIAM J. Sci. Comput. 43 (1) (2021)
Zhenning Cai
Moment method as a numerical solver: Challenge from shock structure problems. J. Comput. Phys. 444 (2021)
Zhenning Cai, Jingwei Hu, Yang Kuang, Bo Lin
An entropic method for discrete systems with Gibbs entropy. CoRR (2021)
Zhicheng Hu, Zhenning Cai, Yanli Wang
Numerical Simulation of Microflows Using Hermite Spectral Methods. SIAM J. Sci. Comput. 42 (1) (2020)
Zhicheng Hu, Zhenning Cai
Burnett Spectral Method for High-Speed Rarefied Gas Flows. SIAM J. Sci. Comput. 42 (5) (2020)
Zhenning Cai, Jianfeng Lu, Siyao Yang
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth. CoRR (2020)
Zhenning Cai, Xiaoyu Dong, Yang Kuang
On the validity of complex Langevin method for path integral computations. CoRR (2020)
Junying Cao, Zhenning Cai
Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy. CoRR (2020)
Bo Lin, Chijie Zhuang, Zhenning Cai, Rong Zeng, Weizhu Bao
An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions. J. Comput. Phys. 401 (2020)
Yanli Wang, Zhenning Cai
Approximation of the Boltzmann collision operator based on hermite spectral method. J. Comput. Phys. 397 (2019)
Zhenning Cai, Yanli Wang
Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations. SIAM J. Numer. Anal. 56 (5) (2018)
Zhenning Cai, Jianfeng Lu
A Quantum Kinetic Monte Carlo Method for Quantum Many-Body Spin Dynamics. SIAM J. Sci. Comput. 40 (3) (2018)
Zhenning Cai, Manuel Torrilhon
Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator. J. Sci. Comput. 74 (1) (2018)
Zhenning Cai, Yuwei Fan, Lexing Ying
An Entropic Fourier Method for the Boltzmann Equation. SIAM J. Sci. Comput. 40 (5) (2018)
Zhenning Cai, Jianfeng Lu
A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems. SIAM J. Sci. Comput. 40 (5) (2018)
Zhenning Cai, Manuel Torrilhon
Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. J. Comput. Phys. 295 (2015)
Zhenning Cai, Yuwei Fan, Ruo Li
A Framework on Moment Model Reduction for Kinetic Equation. SIAM J. Appl. Math. 75 (5) (2015)
Zhenning Cai, Ruo Li
The NRxx method for polyatomic gases. J. Comput. Phys. 267 (2014)
Zhenning Cai, Ruo Li, Yanli Wang
Solving Vlasov Equations Using NRxx Method. SIAM J. Sci. Comput. 35 (6) (2013)
Zhenning Cai, Ruo Li, Yanli Wang
An Efficient NRxx Method for Boltzmann-BGK Equation. J. Sci. Comput. 50 (1) (2012)
Zhenning Cai, Ruo Li, Zhonghua Qiao
NRxx Simulation of Microflows with Shakhov Model. SIAM J. Sci. Comput. 34 (1) (2012)
Zhenning Cai, Ruo Li
Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation. SIAM J. Sci. Comput. 32 (5) (2010)
Zhenning Cai, Ruo Li
An h-adaptive mesh method for Boltzmann-BGK/hydrodynamics coupling. J. Comput. Phys. 229 (5) (2010)