3 papers
nlin.PS2025
Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach
Shaoxuan Chen, Su Yang, Panayotis G. Kevrekidis +1
We propose a data-driven framework for learning reduced-order moment dynamics from PDE-governed systems using Neural ODEs. In contrast to derivative-based methods like SINDy, which…
q-bio.QM2024
An epidemical model with nonlocal spatial infections
Su Yang, Weiqi Chu, Panayotis Kevrekidis
The SIR model is one of the most prototypical compartmental models in epidemiology. Generalizing this ordinary differential equation (ODE) framework into a spatially distributed pa…
nlin.PS2024
Identification of moment equations via data-driven approaches in nonlinear schrodinger models
Su Yang, Shaoxuan Chen, Wei Zhu +1
The moment quantities associated with the nonlinear Schrodinger equation offer important insights towards the evolution dynamics of such dispersive wave partial differential equati…