A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. - Shi Jin 003; Zhennan Zhou (Commun. Inf. Syst., 2013)

Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets. - Zhennan Zhou (J. Comput. Phys., 2014)

On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods. - Jingrun Chen; Jian-Guo Liu 006; Zhennan Zhou (Multiscale Model. Simul., 2016)

Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives. - Jian-Guo Liu 006; Zheng Ma 010; Zhennan Zhou (J. Sci. Comput., 2017)

An accurate front capturing scheme for tumor growth models with a free boundary limit. - Jian-Guo Liu 006; Min Tang 002; Li Wang 101; Zhennan Zhou (J. Comput. Phys., 2018)

Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. - Jian-Guo Liu 006; Li Wang; Zhennan Zhou (Math. Comput., 2018)

Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms. - Jianfeng Lu 001; Zhennan Zhou (Math. Comput., 2018)

Towards understanding the boundary propagation speeds in tumor growth models. - Jian-Guo Liu 006; Min Tang 002; Li Wang 101; Zhennan Zhou (CoRR, 2019)

Field model for complex ionic fluids: analytical properties and numerical investigation. - Jian-Guo Liu 006; Jinhuan Wang; Zhennan Zhou; Yu Zhao (CoRR, 2019)

Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm. - Qiwei Zhan; Mingwei Zhuang; Zhennan Zhou; Jian-Guo Liu 006; Qing Huo Liu (IEEE Trans. Geosci. Remote. Sens., 2019)

Multi-level Monte Carlo path integral molecular dynamics for thermal average calculation in the nonadiabatic regime. - Xiaoyu Lei; Zhennan Zhou (CoRR, 2020)

A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels. - Yong Zhang; Yu Zhao; Zhennan Zhou (CoRR, 2020)

The Bayesian inversion problem for thermal average sampling of quantum systems. - Ziheng Chen 005; Zhennan Zhou (J. Comput. Phys., 2020)

Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs. - Shi Jin 003; Liu Liu; Giovanni Russo 001; Zhennan Zhou (J. Comput. Phys., 2020)

Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics. - Jianfeng Lu 001; Yulong Lu; Zhennan Zhou (J. Comput. Phys., 2020)

Second-order semi-implicit projection methods for micromagnetics simulations. - Changjian Xie; Carlos J. García-Cervera; Cheng Wang 015; Zhennan Zhou; Jingrun Chen (J. Comput. Phys., 2020)

A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform. - Borui Miao; Giovanni Russo 001; Zhennan Zhou (CoRR, 2021)

Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders. - Zihang Zhang; Qiwei Zhan; Zhennan Zhou (CoRR, 2021)

Frozen Gaussian Sampling: A Mesh-free Monte Carlo Method For Approximating Semiclassical Schrödinger Equations. - Yantong Xie; Zhennan Zhou (CoRR, 2021)

A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration. - Jingwei Hu; Jian-Guo Liu 006; Yantong Xie; Zhennan Zhou (J. Comput. Phys., 2021)

Toward Understanding the Boundary Propagation Speeds in Tumor Growth Models. - Jian-Guo Liu 006; Min Tang 002; Li Wang 101; Zhennan Zhou (SIAM J. Appl. Math., 2021)

A Unified Structure Preserving Scheme for a Multispecies Model with a Gradient Flow Structure and Nonlocal Interactions via Singular Kernels. - Yong Zhang; Yu Zhao; Zhennan Zhou (SIAM J. Sci. Comput., 2021)

Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits. - Xuda Ye; Zhennan Zhou (CoRR, 2022)

Frozen Gaussian Sampling for Scalar Wave Equations. - Lihui Chai; Ye Feng; Zhennan Zhou (CoRR, 2022)

A convergent numerical algorithm for the stochastic growth-fragmentation problem. - Dawei Wu; Zhennan Zhou (CoRR, 2022)

Rigorous Justification of the Fokker-Planck Equations of Neural Networks Based on an Iteration Perspective. - Jian-Guo Liu; Ziheng Wang; Yuan Zhang; Zhennan Zhou (SIAM J. Math. Anal., 2022)

A Structure Preserving Numerical Scheme for Fokker-Planck Equations of Structured Neural Networks with Learning Rules. - Qing He; Jingwei Hu; Zhennan Zhou (SIAM J. Sci. Comput., 2022)

A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules. - Pei Zhang; Yanli Wang; Zhennan Zhou (CoRR, 2023)

A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks. - Ziyu Du; Yantong Xie; Zhennan Zhou (CoRR, 2023)

A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws. - Yu Feng; Liu Liu; Zhennan Zhou (CoRR, 2023)

Exact Calculation of Quantum Thermal Average from Continuous Loop Path Integral Molecular Dynamics. - Xuda Ye; Zhennan Zhou (CoRR, 2023)

Quantitative Convergence Analysis of Path Integral Representations for Quantum Thermal Average. - Xuda Ye; Zhennan Zhou (CoRR, 2023)

Fictitious Play via Finite Differences for Mean Field Games with Optimal Stopping. - Chengfeng Shen; Yifan Luo; Zhennan Zhou (CoRR, 2023)

Prompt Engineering Through the Lens of Optimal Control. - Yifan Luo; Yiming Tang; Chengfeng Shen; Zhennan Zhou; Bin Dong (CoRR, 2023)

Efficient Frozen Gaussian Sampling algorithms for nonadiabatic quantum dynamics at metal surfaces. - Zhen Huang; Limin Xu; Zhennan Zhou (J. Comput. Phys., 2023)

Tweet Trajectory and AMPS-based Contextual Cues can Help Users Identify Misinformation. - Himanshu Zade; Megan Woodruff; Erika Johnson; Mariah Stanley; Zhennan Zhou; Minh Tu Huynh; Alissa Elizabeth Acheson; Gary Hsieh; Kate Starbird (Proc. ACM Hum. Comput. Interact., 2023)

Uncertainty Quantification of Phase Transition Problems with an Injection Boundary. - Zhenyi Zhang; Shengbo Ma; Zhennan Zhou (CoRR, 2024)

Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system. - Yu Zhao; Zhennan Zhou (CoRR, 2024)

Statistical Error of Numerical Integrators for Underdamped Langevin Dynamics with Deterministic And Stochastic Gradients. - Xuda Ye; Zhennan Zhou (CoRR, 2024)

Jailbreak Instruction-Tuned LLMs via end-of-sentence MLP Re-weighting. - Yifan Luo; Zhennan Zhou; Meitan Wang; Bin Dong (CoRR, 2024)

Weak formulation and spectral approximation of a Fokker-Planck equation for neural ensembles. - Ling Yan; Pei Zhang; Yanli Wang; Zhennan Zhou (CoRR, 2024)

A Simplified Voltage-Conductance Kinetic Model for Interacting Neurons and Its Asymptotic Limit. - José A. Carrillo 001; Xu'an Dou; Zhennan Zhou (SIAM J. Math. Anal., 2024)

A Synchronization-Capturing Multiscale Solver to the Noisy Integrate-and-Fire Neuron Networks. - Ziyu Du; Yantong Xie; Zhennan Zhou (Multiscale Model. Simul., 2024)

Ultrawideband Ranging Data Reconstruction and Positioning Calculation Framework in Indoor Low-Dynamic Scenarios. - Yinzhi Zhao; Zhennan Zhou; Jingui Zou; Jiming Guo; Gege Huang; Jingwen Wu (IEEE Trans. Instrum. Meas., 2025)

InverseScope: Scalable Activation Inversion for Interpreting Large Language Models. - Yifan Luo; Zhennan Zhou; Bin Dong (CoRR, 2025)