Publications
Below is a selection of representative works. For a complete list, please visit my
Google Scholar profile.
Collective Cell Dynamics
Nonsymmetric traveling wave solution to a Hele-Shaw type tumor growth model
arXiv
Tumor growth with a necrotic core as an obstacle problem in pressure
arXiv
A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws
arXiv
Tumor boundary instability induced by nutrient consumption and supply
arXiv
Towards understanding the boundary propagation speeds in tumor growth models
arXiv
An accurate front capturing scheme for tumor growth models with a free boundary limit
arXiv
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations
arXiv
Neurodynamics
An infinite-times renewal equation
arXiv
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness
arXiv
A voltage-conductance kinetic system from neuroscience: probabilistic reformulation and exponential ergodicity
arXiv · DOI
A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks
arXiv
A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit
arXiv
Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience
arXiv · DOI
Rigorous justification of the Fokker-Planck equations of neural networks based on an iteration perspective
arXiv
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration
arXiv
Quantum Dynamics
Asymptotic analysis for Bloch electrons with Weyl nodes
arXiv
Stochastic Schrödinger equation approach to real-time dynamics of Anderson-Holstein impurities
arXiv
Frozen Gaussian Sampling: A Mesh-free Monte Carlo Method For Approximating Semiclassical Schrödinger Equations
arXiv
Efficient Frozen Gaussian Sampling Algorithms for Nonadiabatic Quantum Dynamics at Metal Surfaces
arXiv
A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform
arXiv
Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics
arXiv:1602.06459
Statistical Sampling & Molecular Dynamics
Dimension-free Ergodicity of Path Integral Molecular Dynamics
arXiv
Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits
arXiv
Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems
arXiv
Efficient Sampling of Thermal Averages of Interacting Quantum Particle Systems with Random Batches
arXiv
Multi-level Monte Carlo path integral molecular dynamics for thermal average calculation in the nonadiabatic regime
arXiv
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics
arXiv