33 citations · 179 across the 44 of their papers we have counts for
4 papers · 2 filters
Dimension-free Ergodicity of Path Integral Molecular Dynamics
Xuda Ye, Zhennan Zhou
The quantum thermal average plays a central role in describing the thermodynamic properties of a quantum system. Path integral molecular dynamics (PIMD) is a prevailing approach fo…
A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws
Yu Feng, Liu Liu, Zhennan Zhou
In this paper, we use the Bayesian inversion approach to study the data assimilation problem for a family of tumor growth models described by porous-medium type equations. The mode…
A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks
Ziyu Du, Yantong Xie, Zhennan Zhou
The noisy leaky integrate-and-fire (NLIF) model describes the voltage configurations of neuron networks with an interacting many-particles system at a microscopic level. When simul…
A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules
Pei Zhang, Yanli Wang, Zhennan Zhou
In this work, we consider the Fokker-Planck equation of the Nonlinear Noisy Leaky Integrate-and-Fire (NNLIF) model for neuron networks. Due to the firing events of neurons at the m…