S-IDENT identifies nonlinear PDEs from noisy trajectories via noise-adaptive strong-form differentiation with SG-SURE, trimming, and residual-based selection, showing higher noise tolerance than prior strong-form methods and performance comparable to weak-form methods.
The least-squares property of the Lanczos derivative.Mathematics Magazine, 78(5):368–378, 2005
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PDE Identification Using Noise Adaptive Differentiation in Strong Form (S-IDENT)
S-IDENT identifies nonlinear PDEs from noisy trajectories via noise-adaptive strong-form differentiation with SG-SURE, trimming, and residual-based selection, showing higher noise tolerance than prior strong-form methods and performance comparable to weak-form methods.