Chair of the colloquium: Prof. Sandeep K (TIFR CAM, Bengaluru)
Release of the lecture video on YouTube: July 21, 2021 at 18:00 hrs Indian time
Interactive session on Zoom: August 16, 2021 at 18:00 hrs Indian time
Title: Deep Learning and Computation of PDEs
Abstract: In this talk, we will review some recent results on computing PDEs with deep neural networks. The focus will be on the design of neural networks as fast and efficient surrogates for PDEs. We will start with parametric PDEs and talk about novel modifications that enable standard deep neural networks to provide efficient PDE surrogates and apply them for prediction, uncertainty quantification and PDE constrained optimization. We will also cover very recent results on operator regression using novel architectures such as DeepOnets and Fourier Neural Operators, and their application to PDEs.