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math.NA2025
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…
math.NA2025
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
Zhi-Qin John Xu, Lulu Zhang, Wei Cai
In this review, we survey the latest approaches and techniques developed to overcome the spectral bias towards low frequency of deep neural network learning methods in learning mul…