Title: Towards numerical analysis for solving high dimensional PDEs based on neural networks
Abstract: Numerical solution to high dimensional PDEs has been one of the central challenges in scientific computing due to curse of dimension. In recent years, we have seen tremendous progress in applying neural networks to solve high dimensional PDEs, while the analysis for such methods is still lacking. In this talk, we will discuss some of these numerical methods for high dimensional PDEs, challenges and also some initial attempts in numerical analysis for high dimensional PDEs.