3 papers
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…
math.NA2023
Fourier Features for Identifying Differential Equations (FourierIdent)
Mengyi Tang, Hao Liu, Wenjing Liao +1
We investigate the benefits and challenges of utilizing the frequency information in differential equation identification. Solving differential equations and Fourier analysis are c…