Short Course on Introduction to Solving PDEs with Machine Learning
Date: Monday 27 January 2020 to Monday 27 January 2020
Location : von Karman Institute for Fluid Dynamics, Waterlosesteenweg 72, 1640 Sint-Genesius-Rode
Solving partial differential equations is an engineer's bread and butter. Classical discretization techniques such as finite-difference or finite-volume are powerful methods for the numerical solution of PDEs, however, their reliance on robust and efficient mesh generation often presents difficulties in solution convergence or necessitates enormous computational resources to obtain an accurate solution. In this lecture, an alternative method based on a statistical machine learning approach will be presented, which yields a continuous, differentiable, and meshless representation of the hidden PDE solution. The topics covered will include machine learning basics, foundations in neural networks, and PDE solution techniques with neural networks. Following the lecture, a practical session on solving PDEs will be presented using the Tensorflow library and Jupyter notebooks with Google Colab. All lecture slides and Jupyter notebooks will be available after the lecture.
13:30-14:15 Introduction to Machine Learning with Neural Networks
14:20-15:00 Solving PDEs with Neural Networks
15:00-15:30 Coffe Break
15:30-16:15 Introduction to Tensorflow
16:20-17:00 Solving PDEs with Tensorflow
The citizens of the following countries are eligible to attend the von Karman Institute Lecture Series:
- EU member countries
VKI reserves the right to request a clearance check with Belgian authorities.
The participants will have to present their ID card (for EU citizens) or passport (for other citizens).