3 papers
math.DS2026
Weak-form Extended Dynamic Mode Decomposition
Christopher W. Curtis, David M. Bortz
In this work, we develop a weak-form version of Extended Dynamic Mode Decomposition that we call WEDMD. We establish a number of analytic results about the method and show explicit…
physics.space-ph2026
Forecasting Local Ionospheric Parameters Using Transformers
Daniel J. Alford-Lago, Christopher W. Curtis, Alexander T. Ihler +2
We present a novel method for forecasting key ionospheric parameters using transformer-based neural networks. The model provides accurate forecasts and uncertainty quantification o…
nlin.CD2026
Empirical Discovery of Multi-Scale Transfer of Information in Dynamical Systems
Christopher W. Curtis, Erik M. Bollt
In this work, we quantify the time scales and information flow associated with multiscale energy transfer in a weakly turbulent system. This is done through a greedy optimization a…