賴明治教授(國立陽明交通大學 應用數學系)

演講時間：112年3月7日下午2點
演講地點：A813

講題：Solving PDEs by Machine Learning

摘要： In this talk, we shall introduce a machine learning methodology based on neural networks to solve PDEs.
First, I would like to discuss why and how the artificial neural network can be used to solve PDEs in different types.
Then I will talk about our recent works on solving elliptic interface problems by neural network methods.  There are
three novel features in our present network; namely, (i) jump discontinuities are accurately captured, (ii) it is completely
shallow, comprising only one hidden layer, (iii) it is completely mesh-free so the problems in irregular domains with irregular
interfaces can be handled easily. Numerical results show better accuracy and easier implementation than the traditional finite
difference methods.