most citedAsymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations

3 citations · 3 across the 2 of their papers we have counts for

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2 papers

math.NA2021

Asymptotic-Preserving Schemes for Multiscale Physical Problems

Shi Jin

We present the asymptotic transitions from microscopic to macroscopic physics, their computational challenges and the Asymptotic-Preserving (AP) strategies to efficiently compute m…

math.NA2021★ 3 cited

Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations

Shi Jin, Zheng Ma, Keke Wu

In this paper we develop a neural network for the numerical simulation of time-dependent linear transport equations with diffusive scaling and uncertainties. The goal of the networ…