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math.NA2026
PDE Identification Using Noise Adaptive Differentiation in Strong Form (S-IDENT)
Roy Y. He, Sung Ha Kang
We explore identifying partial differential equations (PDEs) from noisy observations of single time-space trajectories. Recent developments show the benefits of identifying PDEs in…
math.NA2025
IDENT Review: Recent Advances in Identification of Differential Equations from Noisy Data
Roy Y. He, Hao Liu, Wenjing Liao +1
Differential equations and numerical methods are extensively used to model various real-world phenomena in science and engineering. With modern developments, we aim to find the und…
math.NA2025
Identification of Differential Equations by Dynamics-Guided Weighted Weak Form with Voting
Jiahui Cheng, Sung Ha Kang, Haomin Zhou +1
In the identification of differential equations from data, significant progresses have been made with the weak/integral formulation. In this paper, we explore the direction of find…