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.
Learning green’s func- tions of linear reaction-diffusion equations with application to fast numerical 40 solver
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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.