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math.NA2020★ 8 cited
Meta-MgNet: Meta Multigrid Networks for Solving Parameterized Partial Differential Equations
Yuyan Chen, Bin Dong, Jinchao Xu
This paper studies numerical solutions for parameterized partial differential equations (P-PDEs) with deep learning (DL). P-PDEs arise in many important application areas and the c…
math.NA2020★ 4 cited
RODE-Net: Learning Ordinary Differential Equations with Randomness from Data
Junyu Liu, Zichao Long, Ranran Wang +2
Random ordinary differential equations (RODEs), i.e. ODEs with random parameters, are often used to model complex dynamics. Most existing methods to identify unknown governing RODE…