2 citations · 2 across the 1 of their papers we have counts for
2 papers
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…
cs.LG2024★ 2 cited
Neural Green's Operators for Parametric Partial Differential Equations
Hugo Melchers, Joost Prins, Michael Abdelmalik
This work introduces a paradigm for constructing parametric neural operators that are derived from finite-dimensional representations of Green's operators for linear partial differ…