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math.NA2023★ 1 cited
Asymptotic-preserving neural networks for multiscale Vlasov-Poisson-Fokker-Planck system in the high-field regime
Shi Jin, Zheng Ma, Tian-ai Zhang
The Vlasov-Poisson-Fokker-Planck (VPFP) system is a fundamental model in plasma physics that describes the Brownian motion of a large ensemble of particles within a surrounding bat…
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
Quantum Algorithms for Multiscale Partial Differential Equations
Junpeng Hu, Shi Jin, Lei Zhang
Partial differential equation (PDE) models with multiple temporal/spatial scales are prevalent in several disciplines such as physics, engineering, and many others. These models ar…