90 citations · 155 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
Solving Boltzmann equation with neural sparse representation
Zhengyi Li, Yanli Wang, Hongsheng Liu +2
We consider the neural sparse representation to solve Boltzmann equation with BGK and quadratic collision model, where a network-based ansatz that can approximate the distribution…
Hermite spectral method for the inelastic Boltzmann equation
Ruo Li, Yixiao Lu, Yanli Wang
We propose a Hermite spectral method for the inelastic Boltzmann equation, which makes two-dimensional periodic problem computation affordable by the hardware nowadays. The new alg…
Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system
Tianai Yin, Xinghui Zhong, Yanli Wang
We present an energy-conserving numerical scheme to solve the Vlasov-Maxwell (VM) system based on the regularized moment method proposed in [Z. Cai, Y. Fan, and R. Li. CPAM, 2014].…