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.
Identification of differential equations by dynamics-guided weighted weak form with voting.arXiv preprint arXiv:2506.03899, 2025
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.