Hard Constraint Projection Extends PINN to Burgers Equation
HCP-PINN enforces discretized PDE constraints via projection layer, yielding order-of-magnitude accuracy gains over standard PINN.
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HCP-PINN enforces discretized PDE constraints via projection layer, yielding order-of-magnitude accuracy gains over standard PINN.
Experiments report up to two orders of magnitude faster training and inference, with some low-dimensional PDE runs under one second.
NEXT stabilizes physics-informed neuro-spectral models on stiff PDEs by integrating the linear part exactly.
A three-stage method uses an imperfect neural operator to steer PINNs into the correct PDE basin.
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