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ORCIDZhenning Cai
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2020 – today
- 2024
[j29]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): 215-245 (2024)- [j28]Zhenning Cai, Bo Lin, Meixia Lin:
A Positive and Moment-Preserving Fourier Spectral Method. SIAM J. Numer. Anal. 62(1): 273-294 (2024) - [j27]Xiaoyu Dong, Zhenning Cai:
Iterative Methods of Linearized Moment Equations for Rarefied Gases. SIAM J. Sci. Comput. 46(5): 669- (2024) - [i11]Zhenning Cai, Xiaoyu Dong, Jingwei Hu:
Symmetric Gauss-Seidel Method with a Preconditioned Fixed-Point Iteration for the Steady-State Boltzmann equation. CoRR abs/2409.01910 (2024) - 2023
- [j26]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) - [i10]Zhenning Cai, Bo Lin, Meixia Lin:
A positive and moment-preserving Fourier spectral method. CoRR abs/2304.11847 (2023) - [i9]Michael R. A. Abdelmalik, Zhenning Cai, Teddy Pichard:
Some extensions of the φ-divergence moment closures for the radiative transfer equation. CoRR abs/2310.05489 (2023) - [i8]Tianai Yin, Zhenning Cai, Yanli Wang:
A symmetric Gauss-Seidel method for the steady-state Boltzmann equation. CoRR abs/2311.14138 (2023) - [i7]Xiaoyu Dong, Zhenning Cai:
Iterative methods of linearized moment equations for rarefied gases. CoRR abs/2312.06191 (2023) - 2022
- [j25]Zhenning Cai, Jianfeng Lu, Siyao Yang:
Fast algorithms of bath calculations in simulations of quantum system-bath dynamics. Comput. Phys. Commun. 278: 108417 (2022) - [j24]Hongfei Zhan, Zhenning Cai, Guanghui Hu:
The Wigner function of ground state and one-dimensional numerics. J. Comput. Phys. 449: 110780 (2022) - [j23]Zhenning Cai, Jianfeng Lu, Siyao Yang:
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth. Math. Comput. 92(341): 1141-1209 (2022) - [j22]Zhenning Cai, Jingwei Hu, Yang Kuang, Bo Lin:
An Entropic Method for Discrete Systems with Gibbs Entropy. SIAM J. Numer. Anal. 60(4): 2345-2371 (2022) - [j21]Geshuo Wang, Zhenning Cai:
Differential Equation Based Path Integral for Open Quantum Systems. SIAM J. Sci. Comput. 44(1): 771- (2022) - [j20]Zhenning Cai, Yanli Wang:
Numerical Solver for the Boltzmann Equation with Self-Adaptive Collision Operators. SIAM J. Sci. Comput. 44(2): 275- (2022) - [i6]Zhenning Cai, Di Fang, Jianfeng Lu:
Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits. CoRR abs/2205.02312 (2022) - 2021
- [j19]Zhenning Cai:
Moment method as a numerical solver: Challenge from shock structure problems. J. Comput. Phys. 444: 110593 (2021) - [j18]Zhenning Cai, Xiaoyu Dong, Yang Kuang:
On the Validity of Complex Langevin Method for Path Integral Computations. SIAM J. Sci. Comput. 43(1): A685-A719 (2021) - [i5]Zhenning Cai, Yanli Wang:
Numerical Solver for the Boltzmann Equation With Self-Adaptive Collision Operators. CoRR abs/2102.08559 (2021) - [i4]Zhenning Cai, Jingwei Hu, Yang Kuang, Bo Lin:
An entropic method for discrete systems with Gibbs entropy. CoRR abs/2106.12428 (2021) - 2020
- [j17]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) - [j16]Zhicheng Hu, Zhenning Cai, Yanli Wang:
Numerical Simulation of Microflows Using Hermite Spectral Methods. SIAM J. Sci. Comput. 42(1): B105-B134 (2020) - [j15]Zhicheng Hu, Zhenning Cai:
Burnett Spectral Method for High-Speed Rarefied Gas Flows. SIAM J. Sci. Comput. 42(5): B1193-B1226 (2020) - [i3]Junying Cao, Zhenning Cai:
Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy. CoRR abs/2002.09733 (2020) - [i2]Zhenning Cai, Jianfeng Lu, Siyao Yang:
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth. CoRR abs/2006.07654 (2020) - [i1]Zhenning Cai, Xiaoyu Dong, Yang Kuang:
On the validity of complex Langevin method for path integral computations. CoRR abs/2007.10198 (2020)
2010 – 2019
- 2019
- [j14]Yanli Wang, Zhenning Cai:
Approximation of the Boltzmann collision operator based on hermite spectral method. J. Comput. Phys. 397 (2019) - 2018
- [j13]Zhenning Cai, Manuel Torrilhon:
Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator. J. Sci. Comput. 74(1): 336-374 (2018) - [j12]Zhenning Cai, Yanli Wang:
Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations. SIAM J. Numer. Anal. 56(5): 3144-3168 (2018) - [j11]Zhenning Cai, Jianfeng Lu:
A Quantum Kinetic Monte Carlo Method for Quantum Many-Body Spin Dynamics. SIAM J. Sci. Comput. 40(3) (2018) - [j10]Zhenning Cai, Yuwei Fan, Lexing Ying:
An Entropic Fourier Method for the Boltzmann Equation. SIAM J. Sci. Comput. 40(5): A2858-A2882 (2018) - [j9]Zhenning Cai, Jianfeng Lu:
A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems. SIAM J. Sci. Comput. 40(5): B1277-B1301 (2018) - 2015
- [j8]Zhenning Cai, Manuel Torrilhon:
Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. J. Comput. Phys. 295: 617-643 (2015) - [j7]Zhenning Cai, Yuwei Fan, Ruo Li:
A Framework on Moment Model Reduction for Kinetic Equation. SIAM J. Appl. Math. 75(5): 2001-2023 (2015) - 2014
- [j6]Zhenning Cai, Ruo Li:
The NRxx method for polyatomic gases. J. Comput. Phys. 267: 63-91 (2014) - 2013
- [j5]Zhenning Cai, Ruo Li, Yanli Wang:
Solving Vlasov Equations Using NRxx Method. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [j4]Zhenning Cai, Ruo Li, Yanli Wang:
An Efficient NRxx Method for Boltzmann-BGK Equation. J. Sci. Comput. 50(1): 103-119 (2012) - [j3]Zhenning Cai, Ruo Li, Zhonghua Qiao:
NRxx Simulation of Microflows with Shakhov Model. SIAM J. Sci. Comput. 34(1) (2012) - 2010
- [j2]Zhenning Cai, Ruo Li:
An h-adaptive mesh method for Boltzmann-BGK/hydrodynamics coupling. J. Comput. Phys. 229(5): 1661-1680 (2010) - [j1]Zhenning Cai, Ruo Li:
Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation. SIAM J. Sci. Comput. 32(5): 2875-2907 (2010)
Coauthor Index
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