Research

Extending Fourier Neural Operators for Modeling Parameterized and Coupled PDEs

Cheng Jing*, Uvini Balasuriya*, Abhishek Verma, Kallol Bera, Shahid Rauf, Kookjin Lee†* Equal Contribution  † Corresponding Author

We extend FNOs with minimal architectural modifications: a hypernetwork-based modulation for parameterized dynamics and a systematic exploration of coupling strategies for coupled systems. Achieves 55–72% lower errors than strong baselines on CCP plasma and Gray–Scott benchmarks.