Search Results for author: Yanxia Qian

Found 1 papers, 0 papers with code

Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time

no code implementations22 Mar 2023 Yanxia Qian, Yongchao Zhang, Yunqing Huang, Suchuan Dong

Our analyses show that, with feed-forward neural networks having two hidden layers and the $\tanh$ activation function, the PINN approximation errors for the solution field, its time derivative and its gradient field can be effectively bounded by the training loss and the number of training data points (quadrature points).

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