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ORCIDZhennan Zhou
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Journal Articles
- 2024
[j20]José A. Carrillo
, Xu'an Dou, Zhennan Zhou:
A Simplified Voltage-Conductance Kinetic Model for Interacting Neurons and Its Asymptotic Limit. SIAM J. Math. Anal. 56(1): 676-726 (2024)- 2023
- [j19]Zhen Huang, Limin Xu, Zhennan Zhou:
Efficient Frozen Gaussian Sampling algorithms for nonadiabatic quantum dynamics at metal surfaces. J. Comput. Phys. 474: 111771 (2023) - [j18]Himanshu Zade, Megan Woodruff, Erika Johnson, Mariah Stanley, Zhennan Zhou, Minh Tu Huynh, Alissa Elizabeth Acheson, Gary Hsieh, Kate Starbird:
Tweet Trajectory and AMPS-based Contextual Cues can Help Users Identify Misinformation. Proc. ACM Hum. Comput. Interact. 7(CSCW1): 1-27 (2023) - 2022
- [j17]Jian-Guo Liu, Ziheng Wang, Yuan Zhang, Zhennan Zhou:
Rigorous Justification of the Fokker-Planck Equations of Neural Networks Based on an Iteration Perspective. SIAM J. Math. Anal. 54(1): 1270-1312 (2022) - [j16]Qing He, Jingwei Hu, Zhennan Zhou:
A Structure Preserving Numerical Scheme for Fokker-Planck Equations of Structured Neural Networks with Learning Rules. SIAM J. Sci. Comput. 44(4): 1045- (2022) - 2021
- [j15]Jingwei Hu, Jian-Guo Liu, Yantong Xie, Zhennan Zhou:
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration. J. Comput. Phys. 433: 110195 (2021) - [j14]Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou:
Toward Understanding the Boundary Propagation Speeds in Tumor Growth Models. SIAM J. Appl. Math. 81(3): 1052-1076 (2021) - [j13]Yong Zhang, Yu Zhao, Zhennan Zhou:
A Unified Structure Preserving Scheme for a Multispecies Model with a Gradient Flow Structure and Nonlocal Interactions via Singular Kernels. SIAM J. Sci. Comput. 43(3): B539-B569 (2021) - 2020
- [j12]Shi Jin, Liu Liu, Giovanni Russo, Zhennan Zhou:
Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs. J. Comput. Phys. 401 (2020) - [j11]Changjian Xie, Carlos J. García-Cervera, Cheng Wang, Zhennan Zhou, Jingrun Chen:
Second-order semi-implicit projection methods for micromagnetics simulations. J. Comput. Phys. 404 (2020) - [j10]Ziheng Chen, Zhennan Zhou:
The Bayesian inversion problem for thermal average sampling of quantum systems. J. Comput. Phys. 413: 109448 (2020) - [j9]Jianfeng Lu, Yulong Lu, Zhennan Zhou:
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics. J. Comput. Phys. 423: 109788 (2020) - 2019
- [j8]Qiwei Zhan, Mingwei Zhuang, Zhennan Zhou, Jian-Guo Liu, Qing Huo Liu:
Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm. IEEE Trans. Geosci. Remote. Sens. 57(7): 4591-4599 (2019) - 2018
- [j7]Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou:
An accurate front capturing scheme for tumor growth models with a free boundary limit. J. Comput. Phys. 364: 73-94 (2018) - [j6]Jian-Guo Liu, Li Wang, Zhennan Zhou:
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. Math. Comput. 87(311): 1165-1189 (2018) - [j5]Jianfeng Lu, Zhennan Zhou:
Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms. Math. Comput. 87(313): 2189-2232 (2018) - 2017
- [j4]Jian-Guo Liu, Zheng Ma, Zhennan Zhou:
Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives. J. Sci. Comput. 72(1): 291-313 (2017) - 2016
- [j3]Jingrun Chen, Jian-Guo Liu, Zhennan Zhou:
On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods. Multiscale Model. Simul. 14(4): 1463-1487 (2016) - 2014
- [j2]Zhennan Zhou:
Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets. J. Comput. Phys. 272: 386-407 (2014) - 2013
- [j1]Shi Jin, Zhennan Zhou:
A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. Commun. Inf. Syst. 13(3): 247-289 (2013)
Informal and Other Publications
- 2024
- [i25]Zhenyi Zhang, Shengbo Ma, Zhennan Zhou:
Uncertainty Quantification of Phase Transition Problems with an Injection Boundary. CoRR abs/2402.02806 (2024) - [i24]Yu Zhao, Zhennan Zhou:
Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system. CoRR abs/2404.18463 (2024) - [i23]Xuda Ye, Zhennan Zhou:
Statistical Error of Numerical Integrators for Underdamped Langevin Dynamics with Deterministic And Stochastic Gradients. CoRR abs/2405.06871 (2024) - 2023
- [i22]Pei Zhang, Yanli Wang, Zhennan Zhou:
A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules. CoRR abs/2305.00275 (2023) - [i21]Ziyu Du, Yantong Xie, Zhennan Zhou:
A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks. CoRR abs/2305.05915 (2023) - [i20]Yu Feng, Liu Liu, Zhennan Zhou:
A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws. CoRR abs/2306.02060 (2023) - [i19]Xuda Ye, Zhennan Zhou:
Exact Calculation of Quantum Thermal Average from Continuous Loop Path Integral Molecular Dynamics. CoRR abs/2307.06510 (2023) - [i18]Xuda Ye, Zhennan Zhou:
Quantitative Convergence Analysis of Path Integral Representations for Quantum Thermal Average. CoRR abs/2309.05188 (2023) - [i17]Chengfeng Shen, Yifan Luo, Zhennan Zhou:
Fictitious Play via Finite Differences for Mean Field Games with Optimal Stopping. CoRR abs/2310.05741 (2023) - [i16]Yifan Luo, Yiming Tang, Chengfeng Shen, Zhennan Zhou, Bin Dong:
Prompt Engineering Through the Lens of Optimal Control. CoRR abs/2310.14201 (2023) - 2022
- [i15]Xuda Ye, Zhennan Zhou:
Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits. CoRR abs/2206.02166 (2022) - [i14]Zhen Huang, Limin Xu, Zhennan Zhou:
Efficient Frozen Gaussian Sampling Algorithms for Nonadiabatic Quantum Dynamics at Metal Surfaces. CoRR abs/2206.02173 (2022) - [i13]Lihui Chai, Ye Feng, Zhennan Zhou:
Frozen Gaussian Sampling for Scalar Wave Equations. CoRR abs/2211.04829 (2022) - [i12]Dawei Wu, Zhennan Zhou:
A convergent numerical algorithm for the stochastic growth-fragmentation problem. CoRR abs/2212.09091 (2022) - 2021
- [i11]Borui Miao, Giovanni Russo, Zhennan Zhou:
A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform. CoRR abs/2102.10297 (2021) - [i10]Zihang Zhang, Qiwei Zhan, Zhennan Zhou:
Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders. CoRR abs/2108.02999 (2021) - [i9]Qing He, Jingwei Hu, Zhennan Zhou:
A structure preserving numerical scheme for Fokker-Planck equations of structured neural networks with learning rules. CoRR abs/2109.04667 (2021) - [i8]Yantong Xie, Zhennan Zhou:
Frozen Gaussian Sampling: A Mesh-free Monte Carlo Method For Approximating Semiclassical Schrödinger Equations. CoRR abs/2112.05405 (2021) - 2020
- [i7]Xiaoyu Lei, Zhennan Zhou:
Multi-level Monte Carlo path integral molecular dynamics for thermal average calculation in the nonadiabatic regime. CoRR abs/2006.09138 (2020) - [i6]Yong Zhang, Yu Zhao, Zhennan Zhou:
A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels. CoRR abs/2006.16526 (2020) - 2019
- [i5]Changjian Xie, Carlos J. García-Cervera, Cheng Wang, Zhennan Zhou, Jingrun Chen:
Second-order semi-implicit projection methods for micromagnetics simulations. CoRR abs/1907.02358 (2019) - [i4]Ziheng Chen, Zhennan Zhou:
The Bayesian Inversion Problem for Thermal Average Sampling of Quantum Systems. CoRR abs/1910.02116 (2019) - [i3]Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou:
Towards understanding the boundary propagation speeds in tumor growth models. CoRR abs/1910.11502 (2019) - [i2]Jingwei Hu, Jian-Guo Liu, Yantong Xie, Zhennan Zhou:
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration. CoRR abs/1911.07619 (2019) - [i1]Jian-Guo Liu, Jinhuan Wang, Zhennan Zhou, Yu Zhao:
Field model for complex ionic fluids: analytical properties and numerical investigation. CoRR abs/1912.09208 (2019)
Coauthor Index
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