78 citations · 229 across the 12 of their papers we have counts for
Showing 2021 · math.NAShow all
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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★ 78 cited
A Discontinuity Capturing Shallow Neural Network for Elliptic Interface Problems
Wei-Fan Hu, Te-Sheng Lin, Ming-Chih Lai
In this paper, a new Discontinuity Capturing Shallow Neural Network (DCSNN) for approximating -dimensional piecewise continuous functions and for solving elliptic interface prob…