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.
Global existence and decay for a nonlinear parabolic equation.Nonlinear Analysis: Theory, Methods & Applications, 19(8):763–768, 1992
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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.