32 citations · 147 across the 27 of their papers we have counts for
3 papers · 2 filters
Optimal Parameterizing Manifolds for Anticipating Tipping Points and Higher-order Critical Transitions
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
A general, variational approach to derive low-order reduced systems is presented. The approach is based on the concept of optimal parameterizing manifold (OPM) that substitutes the…
The High-Frequency and Rare Events Barriers to Neural Closures of Atmospheric Dynamics
Mickaël D. Chekroun, Honghu Liu, Kaushik Srinivasan +1
Recent years have seen a surge in interest for leveraging neural networks to parameterize small-scale or fast processes in climate and turbulence models. In this short paper, we po…
Galerkin-Koornwinder approximations of delay differential equations for physicists
Mickaël D. Chekroun, Honghu Liu
Formulas for Galerkin-Koornwinder (GK) approximations of delay differential equations are summarized. The functional analysis ingredients (semigroups, operators, etc.) are intentio…