\(\text{1D Kuramoto-Sivashinsky problem}\)
\(\text{2D viscous Burgers problem }(\mathit{Re}~1k)\)
\text{FOM}
\text{CAE-ROM}
\text{POD-ROM}
\text{SNFL-ROM (ours)}
\text{SNFW-ROM (ours)}
\(\text{SNFL-ROM}\)
\(\text{CAE-ROM}\)
\(\text{SNFL-ROM}\)
\(\text{SNFW-ROM}\)
\(\text{1D viscous Burgers problem }(\mathit{Re}~10k) \text{ (parameter extrapolation study)}\)
\(\text{1D scalar advection problem}\)