2 citations · 2 across the 6 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
cs.LG2023
Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets
Keke Wu, Xiong-bin Yan, Shi Jin +1
In this paper, we introduce two types of novel Asymptotic-Preserving Convolutional Deep Operator Networks (APCONs) designed to address the multiscale time-dependent linear transpor…
math.NA2023★ 2 cited
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations
Shi Jin, Zheng Ma, Keke Wu
In this paper, we present two novel Asymptotic-Preserving Neural Networks (APNNs) for tackling multiscale time-dependent kinetic problems, encompassing the linear transport equatio…
math.NA2023
Numerical Stability for Differential Equations with Memory
Guihong Wang, Yuqing Li, Tao Luo +3
In this work, we systematically investigate linear multi-step methods for differential equations with memory. In particular, we focus on the numerical stability for multi-step meth…