| Publication | Date of Publication | Type |
|---|
| Approximation of the Shannon capacity via matrix cone programming | 2024-02-09 | Paper |
| Asymptotic analysis for Bloch electrons with Weyl nodes | 2023-11-04 | Paper |
| Fictitious Play via Finite Differences for Mean Field Games with Optimal Stopping | 2023-10-09 | Paper |
| Tumor growth with a necrotic core as an obstacle problem in pressure | 2023-08-31 | Paper |
| Exact Calculation of Quantum Thermal Average from Continuous Loop Path Integral Molecular Dynamics | 2023-07-12 | Paper |
| Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience | 2023-06-23 | Paper |
| Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems | 2023-06-23 | Paper |
| Tumor boundary instability induced by nutrient consumption and supply | 2023-06-05 | Paper |
| A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks | 2023-05-10 | Paper |
| A voltage-conductance kinetic system from neuroscience: probabilistic reformulation and exponential ergodicity | 2023-05-06 | Paper |
| A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules | 2023-04-29 | Paper |
| A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform | 2023-04-12 | Paper |
| An infinite-times renewal equation | 2023-04-04 | Paper |
| Transition behavior of the waiting time distribution in a jumping model with the internal state | 2023-03-13 | Paper |
| Efficient frozen Gaussian sampling algorithms for nonadiabatic quantum dynamics at metal surfaces | 2023-01-11 | Paper |
| A convergent numerical algorithm for the stochastic growth-fragmentation problem | 2022-12-18 | Paper |
| A tumor growth model with autophagy: the reaction-(cross-)diffusion system and its free boundary limit | 2022-11-23 | Paper |
| Frozen Gaussian Sampling for Scalar Wave Equations | 2022-11-09 | Paper |
| A Structure Preserving Numerical Scheme for Fokker--Planck Equations of Structured Neural Networks with Learning Rules | 2022-08-25 | Paper |
| On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model | 2022-08-05 | Paper |
| Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness | 2022-06-14 | Paper |
| Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits | 2022-06-05 | Paper |
| Efficient Frozen Gaussian Sampling Algorithms for Nonadiabatic Quantum Dynamics at Metal Surfaces | 2022-06-05 | Paper |
| Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics | 2022-04-14 | Paper |
| A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration | 2022-04-01 | Paper |
| Bloch dynamics with second order Berry phase correction | 2022-03-14 | Paper |
| A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit | 2022-03-05 | Paper |
| Rigorous Justification of the Fokker--Planck Equations of Neural Networks Based on an Iteration Perspective | 2022-03-04 | Paper |
| Exponential convergence to equilibrium for a two-speed model with variant drift fields via the resolvent estimate | 2022-01-28 | Paper |
| Multi-Level Monte Carlo Path Integral Molecular Dynamics for Thermal Average Calculation in the Nonadiabatic Regime | 2021-12-17 | Paper |
| Frozen Gaussian Sampling: A Mesh-free Monte Carlo Method For Approximating Semiclassical Schr\"odinger Equations | 2021-12-10 | Paper |
| Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation | 2021-11-09 | Paper |
| The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials | 2021-11-01 | Paper |
| A Mean Field Game Analysis of Consensus Protocol Design | 2021-08-23 | Paper |
| Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders | 2021-08-06 | Paper |
| A Unified Structure Preserving Scheme for a Multispecies Model with a Gradient Flow Structure and Nonlocal Interactions via Singular Kernels | 2021-06-29 | Paper |
| Toward Understanding the Boundary Propagation Speeds in Tumor Growth Models | 2021-06-28 | Paper |
| A novel spectral method for the semi-classical Schr\"odinger equation based on the Gaussian wave-packet transform | 2021-02-20 | Paper |
| Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective | 2021-02-15 | Paper |
| Second-order semi-implicit projection methods for micromagnetics simulations | 2021-01-28 | Paper |
| Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs | 2021-01-27 | Paper |
| Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective | 2020-09-10 | Paper |
| The Bayesian inversion problem for thermal average sampling of quantum systems | 2020-07-13 | Paper |
| A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration | 2019-11-18 | Paper |
| Analysis and computation of some tumor growth models with nutrient: from cell density models to free boundary dynamics | 2019-07-30 | Paper |
| Data clustering based on Langevin annealing with a self-consistent potential | 2019-06-21 | Paper |
| An accurate front capturing scheme for tumor growth models with a free boundary limit | 2018-08-10 | Paper |
| Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms | 2018-05-17 | Paper |
| Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations | 2018-02-27 | Paper |
| Explicit and implicit TVD schemes for conservation laws with Caputo derivatives | 2017-08-22 | Paper |
| On the classical limit of a time-dependent self-consistent field system: analysis and computation | 2016-12-19 | Paper |
| On a Schrödinger--Landau--Lifshitz System: Variational Structure and Numerical Methods | 2016-12-13 | Paper |
| Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets | 2016-12-05 | Paper |
| An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT | 2016-11-07 | Paper |
| A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials | 2015-02-12 | Paper |
