Search Results for author: Changxin Qiu

Found 2 papers, 0 papers with code

Cell-average based neural network method for hyperbolic and parabolic partial differential equations

no code implementations2 Jul 2021 Changxin Qiu, Jue Yan

Different to traditional numerical methods, our method can be relieved from the explicit scheme CFL restriction and can adapt to any time step size for solution evolution.

Accuracy and Architecture Studies of Residual Neural Network solving Ordinary Differential Equations

no code implementations10 Jan 2021 Changxin Qiu, Aaron Bendickson, Joshua Kalyanapu, Jue Yan

In particular, we carry out (1) the architecture study in terms of number of hidden layers and neurons per layer to find the optimal ResNet structure; (2) the target study to verify the ResNet solver behaves as accurate as its finite difference method counterpart; (3) solution trajectory simulation.

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