@article{cfolearningcontinuoustimepdedynamicsviaf, title = {CFO: Learning Continuous-Time PDE Dynamics via Flow-Matched Neural Operators}, author = {Xianglong Hou and Xinquan Huang and Paris Perdikaris}, year = {2025}, eprint = {2512.05297}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2512.05297}, }