Reduced Order Models
Reduced-order models (ROMs) are simplified mathematical descriptions derived from the full set of PDEs governing the physics of the phenomenon of interest. ROMs can be derived from first principles or be data-driven. With ROMs one trades accuracy for speed and scalability, and counteracts the curse of dimension by significantly reducing the computational complexity. Thus ROMs represent an ideal building block of systems with real-time requirements, like interactive decision support systems that offer the possibility to explore various alternatives. In fact, in complex cases, the real-time requirements would not be met by standard numerical methods.
