Learning time-dependent PDEs with a linear and nonlinear separate convolutional neural network

Author:

Qu JiagangORCID,Cai WeihuaORCID,Zhao Yijun

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference49 articles.

1. Data-driven discovery of partial differential equations;Rudy;Sci. Adv.,2017

2. Pde-net: learning pdes from data;Long,2018

3. Pde-net 2.0: learning pdes from data with a numeric-symbolic hybrid deep network;Long;J. Comput. Phys.,2019

4. Fea-net: a deep convolutional neural network with physicsprior for efficient data driven pde learning;Yao,2019

5. Data-driven identification of parametric partial differential equations;Rudy;SIAM J. Appl. Dyn. Syst.,2019

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