Zhennan Zhou

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 43

Top Topics

Numerical Scheme

Electromagnetic Field

Structure Preserving

Top Venues

J. Comput. Phys.

SIAM J. Math. Anal.

Publications

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) (2024)
Yu Zhao, Zhennan Zhou
Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system. CoRR (2024)
Xuda Ye, Zhennan Zhou
Statistical Error of Numerical Integrators for Underdamped Langevin Dynamics with Deterministic And Stochastic Gradients. CoRR (2024)
Zhenyi Zhang, Shengbo Ma, Zhennan Zhou
Uncertainty Quantification of Phase Transition Problems with an Injection Boundary. CoRR (2024)
Xuda Ye, Zhennan Zhou
Exact Calculation of Quantum Thermal Average from Continuous Loop Path Integral Molecular Dynamics. CoRR (2023)
Xuda Ye, Zhennan Zhou
Quantitative Convergence Analysis of Path Integral Representations for Quantum Thermal Average. CoRR (2023)
Chengfeng Shen, Yifan Luo, Zhennan Zhou
Fictitious Play via Finite Differences for Mean Field Games with Optimal Stopping. CoRR (2023)
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) (2023)
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 (2023)
Ziyu Du, Yantong Xie, Zhennan Zhou
A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks. CoRR (2023)
Yu Feng, Liu Liu, Zhennan Zhou
A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws. CoRR (2023)
Zhen Huang, Limin Xu, Zhennan Zhou
Efficient Frozen Gaussian Sampling algorithms for nonadiabatic quantum dynamics at metal surfaces. J. Comput. Phys. 474 (2023)
Yifan Luo, Yiming Tang, Chengfeng Shen, Zhennan Zhou, Bin Dong
Prompt Engineering Through the Lens of Optimal Control. CoRR (2023)
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) (2022)
Xuda Ye, Zhennan Zhou
Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits. CoRR (2022)
Dawei Wu, Zhennan Zhou
A convergent numerical algorithm for the stochastic growth-fragmentation problem. CoRR (2022)
Zhen Huang, Limin Xu, Zhennan Zhou
Efficient Frozen Gaussian Sampling Algorithms for Nonadiabatic Quantum Dynamics at Metal Surfaces. CoRR (2022)
Lihui Chai, Ye Feng, Zhennan Zhou
Frozen Gaussian Sampling for Scalar Wave Equations. CoRR (2022)
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) (2022)
Zihang Zhang, Qiwei Zhan, Zhennan Zhou
Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders. CoRR (2021)
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) (2021)
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 (2021)
Borui Miao, Giovanni Russo, Zhennan Zhou
A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform. CoRR (2021)
Yantong Xie, Zhennan Zhou
Frozen Gaussian Sampling: A Mesh-free Monte Carlo Method For Approximating Semiclassical Schrödinger Equations. CoRR (2021)
Qing He, Jingwei Hu, Zhennan Zhou
A structure preserving numerical scheme for Fokker-Planck equations of structured neural networks with learning rules. CoRR (2021)
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) (2021)
Xiaoyu Lei, Zhennan Zhou
Multi-level Monte Carlo path integral molecular dynamics for thermal average calculation in the nonadiabatic regime. CoRR (2020)
Jianfeng Lu, Yulong Lu, Zhennan Zhou
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics. J. Comput. Phys. 423 (2020)
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)
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)
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 (2020)
Ziheng Chen, Zhennan Zhou
The Bayesian inversion problem for thermal average sampling of quantum systems. J. Comput. Phys. 413 (2020)
Changjian Xie, Carlos J. García-Cervera, Cheng Wang, Zhennan Zhou, Jingrun Chen
Second-order semi-implicit projection methods for micromagnetics simulations. CoRR (2019)
Ziheng Chen, Zhennan Zhou
The Bayesian Inversion Problem for Thermal Average Sampling of Quantum Systems. CoRR (2019)
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 (2019)
Jian-Guo Liu, Jinhuan Wang, Zhennan Zhou, Yu Zhao
Field model for complex ionic fluids: analytical properties and numerical investigation. CoRR (2019)
Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou
Towards understanding the boundary propagation speeds in tumor growth models. CoRR (2019)
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) (2019)
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) (2018)
Jian-Guo Liu, Li Wang, Zhennan Zhou
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. Math. Comput. 87 (311) (2018)
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 (2018)
Jian-Guo Liu, Zheng Ma, Zhennan Zhou
Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives. J. Sci. Comput. 72 (1) (2017)
Jingrun Chen, Jian-Guo Liu, Zhennan Zhou
On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods. Multiscale Model. Simul. 14 (4) (2016)
Zhennan Zhou
Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets. J. Comput. Phys. 272 (2014)
Shi Jin, Zhennan Zhou
A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. Commun. Inf. Syst. 13 (3) (2013)