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cs.LG2022★ 1 cited
Physics-guided Data Augmentation for Learning the Solution Operator of Linear Differential Equations
Ye Li, Yiwen Pang, Bin Shan
Neural networks, especially the recent proposed neural operator models, are increasingly being used to find the solution operator of differential equations. Compared to traditional…
cs.LG2022★ 3 cited
VI-PINNs: Variance-involved Physics-informed Neural Networks for Fast and Accurate Prediction of Partial Differential Equations
Bin Shan, Ye Li, Shengjun Huang
Although physics-informed neural networks(PINNs) have progressed a lot in many real applications recently, there remains problems to be further studied, such as achieving more accu…