| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| diff-react PDEBench (test) | GITS | nRMSE1.6 | 84 | 2mo ago | |
| Darcy trajectory set (test) | U-HNO | Rollout Relative H1 Error0.0165 | 8 | 20d ago | |
| NS-2D trajectory set (test) | WNO | Rollout Relative H1 Error0.82 | 8 | 20d ago | |
| Adv-2D trajectory set (test) | FNO | Rollout Relative H1 Error5.25 | 8 | 20d ago | |
| KdV trajectory set (test) | U-HNO | Rollout Relative H1 Error0.0523 | 8 | 20d ago | |
| KS trajectory set (test) | U-HNO | Relative H1 Error40.55 | 8 | 20d ago | |
| Burgers trajectory set (test) | U-HNO | Rollout Relative H14.18 | 8 | 20d ago | |
| PDEBench 3D-CFD M1.0Rand transonic compressible Navier-Stokes | U-HNO | Rollout Relative H1 Error0.772 | 7 | 20d ago | |
| AC-2D trajectory set (test) | GNO | Rollout Relative H1 Error1.24 | 7 | 20d ago | |
| PDEBench Aggregate All time-dependent families | DerivOpt | Mean nRMSE0.074 | 7 | 2mo ago | |
| Incompressible Taylor–Green vortex | FS-HNN | Rollout MSE1.91 | 6 | 2mo ago | |
| 2D Shallow Water Equations (SWE) random initial condition | PHNN | Rollout MSE1.1 | 6 | 2mo ago | |
| 2D Shallow Water Equations (SWE) Gaussian-pulse initial condition | FS-HNN | Rollout MSE1.31 | 6 | 2mo ago |
