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math.DS2024
Input gradient annealing neural network for solving low-temperature Fokker-Planck equations
Liangkai Hang, Dan Hu, Zhi-Qin John Xu
We present a novel yet simple deep learning approach, called input gradient annealing neural network (IGANN), for solving stationary Fokker-Planck equations. Traditional methods, s…
math.NA2024★ 4 cited
Solving multiscale dynamical systems by deep learning
Junjie Yao, Yuxiao Yi, Liangkai Hang +5
Multiscale dynamical systems, modeled by high-dimensional stiff ordinary differential equations (ODEs) with wide-ranging characteristic timescales, arise across diverse fields of s…