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20212026
most citedA hybrid data driven-physics constrained Gaussian process regression framework with deep kernel for uncertainty quantification

24 citations · 43 across the 8 of their papers we have counts for

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math.NA2021★ 18 cited

A Shallow Ritz Method for Elliptic Problems with Singular Sources

Ming-Chih Lai, Che-Chia Chang, Wei-Syuan Lin +2

In this paper, a shallow Ritz-type neural network for solving elliptic equations with delta function singular sources on an interface is developed. There are three novel features i…

math.NA2021

Finite Difference Nets: A Deep Recurrent Framework for Solving Evolution PDEs

Cheng Chang, Liu Liu, Tieyong Zeng

There has been an arising trend of adopting deep learning methods to study partial differential equations (PDEs). In this paper, we introduce a deep recurrent framework for solving…