Neural Green's Operators approximate the Green's function and its parametric dependence for linear PDEs via neural networks, preserving linearity and enabling use in time-stepping, nonlinear solvers, and preconditioning.
A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data
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Neural Green's Operators for Parametric Partial Differential Equations
Neural Green's Operators approximate the Green's function and its parametric dependence for linear PDEs via neural networks, preserving linearity and enabling use in time-stepping, nonlinear solvers, and preconditioning.