1D Burgers
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE solving | 1D Burgers | RelL2 Error0 | 43 | |
| PDE Surrogate Modeling | 1D Burgers (test) | Relative L2 Error3.73 | 15 | |
| Operator Learning | 1D Burgers | Relative L2 Error0.0047 | 11 | |
| Operator Learning | 1D Burgers s=256 (val) | Relative L2 Error0.0109 | 11 | |
| Reconstruction | 1D Burgers (test) | Relative Error (%)0.99 | 9 | |
| Inverse Problem | 1D Burgers cross-PDE transfer from Allen-Cahn (target task) | L2 Error0.26 | 6 | |
| PDE Solving | 1D Burgers' representative samples (test) | Computation Time (s)0.049 | 6 | |
| Partial Differential Equation Solving | 1D Burgers out-domain | RMSE0.0687 | 3 | |
| PDE Solving | 1D Burgers three-seed (test) | L2 Error (1-step)0.003 | 2 |
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