2 papers
physics.comp-ph2026
Measuring qualitative change: A variational score for tracking dynamical shifts in partial differential equations
Joseph J. Pollacco, Jonathan Wong, Navonil Neogi +2
Partial differential equations (PDEs) regulate the behaviour of countless spatiotemporal systems in the physical and life sciences. In many cases, they encode the coupling between…
cs.LG2026
PDE foundation models are skillful AI weather emulators for the Martian atmosphere
Johannes Schmude, Sujit Roy, Liping Wang +10
We show that AI foundation models that are pretrained on numerical solutions to a diverse corpus of partial differential equations can be adapted and fine-tuned to obtain skillful…