PDE Solving on Burgers (Relative Error)
0.26Relative ErrorSpatio-Temporal MeanFlow
Evaluation Results
| Method | Links | |
|---|---|---|
| Spatio-Temporal MeanFlowSolver Category=Ours2026.05 | 0.26 | |
| CFOSolver Category=Neural operator2026.05 | 0.8 | |
| FNOSolver Category=Neural operator2026.05 | 1.05 | |
| PINOSolver Category=Neural operator2026.05 | 2.06 | |
| Rectified FlowSolver Category=Generative PDE2026.05 | 2.76 | |
| PBFMSolver Category=Generative PDE2026.05 | 3.11 | |
| PINNSolver Category=Physics-informed coordinate-based2026.05 | 3.56 | |
| DeepONetSolver Category=Neural operator2026.05 | 5.59 | |
| VanillaR=–2026.03 | 8 | |
| CELGR=82026.03 | 8 | |
| DiffusionPDESolver Category=Generative PDE2026.05 | 8.61 | |
| I-PINNSolver Category=Physics-informed coordinate-based2026.05 | 8.92 | |
| CP-PINNR=–2026.03 | 9 | |
| PIXELR=82026.03 | 9 | |
| CELGR=162026.03 | 11 | |
| CELG-CPR=162026.03 | 14 | |
| CELGR=322026.03 | 17 | |
| CELG-CPR=82026.03 | 34 | |
| CELG-CPR=322026.03 | 35 | |
| H-SplineR=162026.03 | 45 | |
| PIXELR=162026.03 | 47 | |
| H-SplineR=82026.03 | 47 | |
| H-SplineR=322026.03 | 91 | |
| PIXELR=322026.03 | 94 |