国家天元数学中部中心学术报告 | 胡丹 教授(上海交通大学)

发布时间: 2023-07-07 10:07

报告题Residual-Informed Neural Networks for Partial Differential Equations

报告时间:2023-07-13   09:00-10:00

报告人:胡丹 教授  上海交通大学

报告地点:理学院东北楼四楼报告厅

报告摘要:Deep learning has achieved wide success in solving Partial Differential Equations (PDEs), with particular strength in handling high dimensional problems and parametric problems. Nevertheless, there is still a lack of a clear picture on the designing of network architecture and the training of network parameters. In this work, we develop Residual-Informed Neural Networks (RINN) to solve partial differential equations. Compared to the widely used method PINN (Physics-Informed Neural Networks), RINN avoids calculating the high-order derivatives of neural networks, thus significantly reduces the computational cost.