Dongwook Lee

"Polynomial-free, Variable High-order Methods using Gaussian Process Modeling for Computational Astrophysics"

In this talk, a new class of high-order numerical algorithms for computational fluid dynamics is described. The new method is based on the Gaussian Processes (GP) modeling that generalizes the Gaussian probability distribution. The new approach is to adopt the idea of the GP prediction technique, which utilizes the covariance kernel functions and use it to reconstruct high-order approximations for computational simulations. The new GP high-order method is proposed as a new numerical high-order formulation, alternative to the conventional polynomial-based approaches.