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math.NA2025
A categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems
Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng +1
In this paper, we propose a categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems. The architecture comprises three hidde…
math.NA2022★ 19 cited
A shallow physics-informed neural network for solving partial differential equations on surfaces
Wei-Fan Hu, Yi-Jun Shih, Te-Sheng Lin +1
In this paper, we introduce a shallow (one-hidden-layer) physics-informed neural network for solving partial differential equations on static and evolving surfaces. For the static…