2 papers
cs.LG2026
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…
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…