3 papers
stat.ML2025
Compositional Generation for Long-Horizon Coupled PDEs
Somayajulu L. N. Dhulipala, Deep Ray, Nicholas Forman
Simulating coupled PDE systems is computationally intensive, and prior efforts have largely focused on training surrogates on the joint (coupled) data, which requires a large amoun…
math.NA2025
Learning WENO for entropy stable schemes to solve conservation laws
Philip Charles, Deep Ray
Entropy conditions play a crucial role in the extraction of a physically relevant solution for systems of conservation laws, thus motivating the construction of entropy stable sche…
math.NA2025
An optimal Petrov-Galerkin framework for operator networks
Philip Charles, Deep Ray, Yue Yu +7
The optimal Petrov-Galerkin formulation to solve partial differential equations (PDEs) recovers the best approximation in a specified finite-dimensional (trial) space with respect…