An h-adaptive mesh method for Boltzmann-BGK/hydrodynamics coupling. - Zhenning Cai; Ruo Li (J. Comput. Phys., 2010)

Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation. - Zhenning Cai; Ruo Li (SIAM J. Sci. Comput., 2010)

An Efficient NRxx Method for Boltzmann-BGK Equation. - Zhenning Cai; Ruo Li; Yanli Wang (J. Sci. Comput., 2012)

NRxx Simulation of Microflows with Shakhov Model. - Zhenning Cai; Ruo Li; Zhonghua Qiao (SIAM J. Sci. Comput., 2012)

Solving Vlasov Equations Using NRxx Method. - Zhenning Cai; Ruo Li; Yanli Wang (SIAM J. Sci. Comput., 2013)

The NRxx method for polyatomic gases. - Zhenning Cai; Ruo Li (J. Comput. Phys., 2014)

Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. - Zhenning Cai; Manuel Torrilhon (J. Comput. Phys., 2015)

A Framework on Moment Model Reduction for Kinetic Equation. - Zhenning Cai; Yuwei Fan; Ruo Li (SIAM J. Appl. Math., 2015)

Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator. - Zhenning Cai; Manuel Torrilhon (J. Sci. Comput., 2018)

Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations. - Zhenning Cai; Yanli Wang (SIAM J. Numer. Anal., 2018)

An Entropic Fourier Method for the Boltzmann Equation. - Zhenning Cai; Yuwei Fan; Lexing Ying (SIAM J. Sci. Comput., 2018)

A Quantum Kinetic Monte Carlo Method for Quantum Many-Body Spin Dynamics. - Zhenning Cai; Jianfeng Lu 001 (SIAM J. Sci. Comput., 2018)

A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems. - Zhenning Cai; Jianfeng Lu 001 (SIAM J. Sci. Comput., 2018)

Approximation of the Boltzmann collision operator based on hermite spectral method. - Yanli Wang; Zhenning Cai (J. Comput. Phys., 2019)

Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy. - Junying Cao; Zhenning Cai (CoRR, 2020)

An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions. - Bo Lin; Chijie Zhuang; Zhenning Cai; Rong Zeng 001; Weizhu Bao (J. Comput. Phys., 2020)

Burnett Spectral Method for High-Speed Rarefied Gas Flows. - Zhicheng Hu; Zhenning Cai (SIAM J. Sci. Comput., 2020)

Numerical Simulation of Microflows Using Hermite Spectral Methods. - Zhicheng Hu; Zhenning Cai; Yanli Wang (SIAM J. Sci. Comput., 2020)

Moment method as a numerical solver: Challenge from shock structure problems. - Zhenning Cai (J. Comput. Phys., 2021)

On the Validity of Complex Langevin Method for Path Integral Computations. - Zhenning Cai; Xiaoyu Dong; Yang Kuang (SIAM J. Sci. Comput., 2021)

Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits. - Zhenning Cai; Di Fang 003; Jianfeng Lu 001 (CoRR, 2022)

Fast algorithms of bath calculations in simulations of quantum system-bath dynamics. - Zhenning Cai; Jianfeng Lu 001; Siyao Yang (Comput. Phys. Commun., 2022)

The Wigner function of ground state and one-dimensional numerics. - Hongfei Zhan; Zhenning Cai; Guanghui Hu (J. Comput. Phys., 2022)

Numerical Solver for the Boltzmann Equation with Self-Adaptive Collision Operators. - Zhenning Cai; Yanli Wang (SIAM J. Sci. Comput., 2022)

Differential Equation Based Path Integral for Open Quantum Systems. - Geshuo Wang; Zhenning Cai (SIAM J. Sci. Comput., 2022)

An Entropic Method for Discrete Systems with Gibbs Entropy. - Zhenning Cai; Jingwei Hu; Yang Kuang; Bo Lin (SIAM J. Numer. Anal., 2022)

Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth. - Zhenning Cai; Jianfeng Lu 001; Siyao Yang (Math. Comput., 2022)

Some extensions of the φ-divergence moment closures for the radiative transfer equation. - Michael R. A. Abdelmalik; Zhenning Cai; Teddy Pichard (CoRR, 2023)

A symmetric Gauss-Seidel method for the steady-state Boltzmann equation. - Tianai Yin; Zhenning Cai; Yanli Wang (CoRR, 2023)

The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems. - Zhenning Cai; Geshuo Wang; Siyao Yang (SIAM J. Sci. Comput., 2023)

Symmetric Gauss-Seidel Method with a Preconditioned Fixed-Point Iteration for the Steady-State Boltzmann equation. - Zhenning Cai; Xiaoyu Dong; Jingwei Hu (CoRR, 2024)

Iterative Methods of Linearized Moment Equations for Rarefied Gases. - Xiaoyu Dong; Zhenning Cai (SIAM J. Sci. Comput., 2024)

Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules. - Zhenning Cai; Manuel Torrilhon; Siyao Yang (SIAM J. Appl. Math., 2024)

A Positive and Moment-Preserving Fourier Spectral Method. - Zhenning Cai; Bo Lin; Meixia Lin (SIAM J. Numer. Anal., 2024)

Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation. - Geshuo Wang; Siyao Yang; Zhenning Cai (Quantum, 2025)

A fast Fourier spectral method for the linearized Boltzmann collision operator. - Tianai Yin; Zhenning Cai; Yanli Wang (CoRR, 2025)