2 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
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…