\(\text{Mesh ansatz}\)

\({u}(x)=\)

\(u(x) = \)

\(\text{Neural ansatz}\)

\(\text{Physics-based}\)

\(\text{Data-driven}\)

\(\text{Numerical}\)

\(\text{Simulation}\)

\(\text{Reduced Order}\)

\(\text{Modeling}\)

\(\text{Neural ROMs}\)

\(\text{Surrogate}\)

\(\text{Learning}\)

\(\text{Transformers}\)

\(\text{PINNs}\)

\(\text{Finite Elements}\)

\(\text{PCA/POD}\)

\(\text{Graph Networks}\)