Zhennan Zhou

Orcid: 0000-0003-4822-0275

According to our database1, Zhennan Zhou authored at least 41 papers between 2013 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A Simplified Voltage-Conductance Kinetic Model for Interacting Neurons and Its Asymptotic Limit.
SIAM J. Math. Anal., February, 2024

Jailbreak Instruction-Tuned LLMs via end-of-sentence MLP Re-weighting.
CoRR, 2024

Statistical Error of Numerical Integrators for Underdamped Langevin Dynamics with Deterministic And Stochastic Gradients.
CoRR, 2024

Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system.
CoRR, 2024

Uncertainty Quantification of Phase Transition Problems with an Injection Boundary.
CoRR, 2024

2023
Tweet Trajectory and AMPS-based Contextual Cues can Help Users Identify Misinformation.
Proc. ACM Hum. Comput. Interact., April, 2023

Efficient Frozen Gaussian Sampling algorithms for nonadiabatic quantum dynamics at metal surfaces.
J. Comput. Phys., February, 2023

Prompt Engineering Through the Lens of Optimal Control.
CoRR, 2023

Fictitious Play via Finite Differences for Mean Field Games with Optimal Stopping.
CoRR, 2023

Quantitative Convergence Analysis of Path Integral Representations for Quantum Thermal Average.
CoRR, 2023

Exact Calculation of Quantum Thermal Average from Continuous Loop Path Integral Molecular Dynamics.
CoRR, 2023

A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws.
CoRR, 2023

A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks.
CoRR, 2023

A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules.
CoRR, 2023

2022
A Structure Preserving Numerical Scheme for Fokker-Planck Equations of Structured Neural Networks with Learning Rules.
SIAM J. Sci. Comput., August, 2022

Rigorous Justification of the Fokker-Planck Equations of Neural Networks Based on an Iteration Perspective.
SIAM J. Math. Anal., 2022

A convergent numerical algorithm for the stochastic growth-fragmentation problem.
CoRR, 2022

Frozen Gaussian Sampling for Scalar Wave Equations.
CoRR, 2022

Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits.
CoRR, 2022

2021
A Unified Structure Preserving Scheme for a Multispecies Model with a Gradient Flow Structure and Nonlocal Interactions via Singular Kernels.
SIAM J. Sci. Comput., 2021

Toward Understanding the Boundary Propagation Speeds in Tumor Growth Models.
SIAM J. Appl. Math., 2021

A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration.
J. Comput. Phys., 2021

Frozen Gaussian Sampling: A Mesh-free Monte Carlo Method For Approximating Semiclassical Schrödinger Equations.
CoRR, 2021

Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders.
CoRR, 2021

A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform.
CoRR, 2021

2020
Second-order semi-implicit projection methods for micromagnetics simulations.
J. Comput. Phys., 2020

Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics.
J. Comput. Phys., 2020

Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs.
J. Comput. Phys., 2020

The Bayesian inversion problem for thermal average sampling of quantum systems.
J. Comput. Phys., 2020

A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels.
CoRR, 2020

Multi-level Monte Carlo path integral molecular dynamics for thermal average calculation in the nonadiabatic regime.
CoRR, 2020

2019
Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm.
IEEE Trans. Geosci. Remote. Sens., 2019

Field model for complex ionic fluids: analytical properties and numerical investigation.
CoRR, 2019

Towards understanding the boundary propagation speeds in tumor growth models.
CoRR, 2019

2018
Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms.
Math. Comput., 2018

Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations.
Math. Comput., 2018

An accurate front capturing scheme for tumor growth models with a free boundary limit.
J. Comput. Phys., 2018

2017
Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives.
J. Sci. Comput., 2017

2016
On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods.
Multiscale Model. Simul., 2016

2014
Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets.
J. Comput. Phys., 2014

2013
A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials.
Commun. Inf. Syst., 2013


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