| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| Elasticity | FUNCATTN | Relative L2 Error0.005 | 44 | 2d ago | |
| Plasticity | PGOT | Relative L2 Error0.0012 | 36 | 2d ago | |
| Airfoil | FUNCATTN | Relative L20.43 | 36 | 2d ago | |
| Pipe | LNO | Relative L2 Error0.0025 | 35 | 2d ago | |
| Helmholtz | Chebyshev Center-Based Direction Selection | Relative Error0.0072 | 26 | 8d ago | |
| Forward benchmarks 5 PDEs | FAMO+UAM | P(A<B)100 | 21 | 22d ago | |
| Klein-Gordon 10K-epoch | GradNorm | Relative L2 Error1.13 | 16 | 22d ago | |
| Conv-Diff 10K-epoch | GN+UAM | Relative L2 Error1 | 16 | 22d ago | |
| Allen–Cahn 10K-epoch | UAM | Relative L2 Error1.19 | 16 | 22d ago | |
| Helmholtz 10K-epoch | GN+UAM | Relative L2 Error1 | 16 | 22d ago | |
| Burgers 10K-epoch | SelfAdapt | Relative L2 Error1.1 | 16 | 22d ago | |
| Navier-Stokes | Spatio-Temporal MeanFlow | Relative L2 Error0.19 | 15 | 8d ago | |
| Poisson | Di-BiLPS | Relative L2 Error0.038 | 15 | 8d ago | |
| Helmholtz (test) | FM4PDE | Relative H1 Error0.1385 | 12 | 8d ago | |
| Poisson (test) | sCM-PINN | Relative H1 Error0.181 | 12 | 8d ago | |
| Darcy Flow (test) | sCM-PINN | Relative H1 Error0.105 | 12 | 8d ago | |
| Darcy Flow | FM4PDE | Relative Error0.0127 | 12 | 8d ago | |
| Bounded Navier-Stokes | Di-BiLPS | Relative Error0.021 | 11 | 20d ago | |
| Non-bounded Navier-Stokes | Di-BiLPS | Relative Error0.043 | 11 | 20d ago | |
| HYCOM | Spatio-Temporal MeanFlow | Relative L2 Error23.43 | 10 | 22d ago | |
| 1D Burgers' equation standard synthetic (test) | Spatio-Temporal MeanFlow | Relative L2 Error0.0026 | 10 | 22d ago | |
| Darcy | Spatio-Temporal MeanFlow | Relative L2 Error0.25 | 9 | 22d ago | |
| Helmholtz Full Observation | FunDPS* | L2 Relative Error0.0108 | 9 | 3mo ago | |
| Poisson Full Observation | FunDPS* | L2 Relative Error0.7 | 9 | 3mo ago | |
| Darcy Flow Full Observation | PRISMA | L2 Relative Error1.05 | 9 | 3mo ago |
