87 citations · 91 across the 14 of their papers we have counts for
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math.NA2021
Deep adaptive basis Galerkin method for high-dimensional evolution equations with oscillatory solutions
Yiqi Gu, Micheal K. Ng
In this paper, we study deep neural networks (DNNs) for solving high-dimensional evolution equations with oscillatory solutions. Different from deep least-squares methods that deal…
math.NA2021★ 1 cited
Deep Ritz method for the spectral fractional Laplacian equation using the Caffarelli-Silvestre extension
Yiqi Gu, Micheal K. Ng
In this paper, we propose a novel method for solving high-dimensional spectral fractional Laplacian equations. Using the Caffarelli-Silvestre extension, the -dimensional spectra…