5 citations · 5 across the 4 of their papers we have counts for
4 papers
Stability Framework for the Singularity of the Euler Equations on
Valentin Duruisseaux, Adarsh Ganeshram, Robert J. George +1
In a recent numerical study, we found a high-precision singular profile for the Euler equations on the unbounded domain . The present manuscript complements that stud…
Hybrid Dealiased Convolutions
Robert Joseph George, Noel Murasko, John C. Bowman
This paper proposes a practical and efficient solution for computing convolutions using hybrid dealiasing. It offers an alternative to explicit or implicit dealiasing and includes…
Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs
Robert Joseph George, Jiawei Zhao, Jean Kossaifi +2
Fourier Neural Operators (FNO) offer a principled approach to solving challenging partial differential equations (PDE) such as turbulent flows. At the core of FNO is a spectral lay…
Numerical Analysis for Real-time Nonlinear Model Predictive Control of Ethanol Steam Reformers
Robert Joseph George, Xinwei Yu
The utilization of renewable energy technologies, particularly hydrogen, has seen a boom in interest and has spread throughout the world. Ethanol steam reformation is one of the pr…