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math.NA2025
Fast boundary integral method for acoustic wave scattering in two-dimensional layered media
Linfeng Xia, Heng Yuan, Bo Wang +1
In this paper, we present a fast boundary integral method accelerated by the fast multipole method (FMM) for acoustic wave scattering governed by the scalar Helmholtz equation in m…
math.NA2025
Fast Multipole Method for Maxwell's Equations in Layered Media
Heng Yuan, Bo Wang, Wenzhong Zhang +1
We present a fast multipole method (FMM) for solving Maxwell's equations in three-dimensional (3-D) layered media, based on the magnetic vector potential under the…
math.NA2022★ 1 cited
On Spectral Bias Reduction of Multi-scale Neural Networks for Regression Problems
Bo Wang, Heng Yuan, Lizuo Liu +2
In this paper, we derive diffusion equation models in the spectral domain for the evolution of training errors of two-layer multi-scale deep neural networks (MscaleDNN) \cite{caixu…