1D Burgers' Equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| 1D Physics Modeling | 1D Burgers’ Equation (test) | MSE0.0054 | 38 | |
| 1D Burgers' Equation Control | 1D Burgers' Equation PO-PC v1 (test) | J_actual0.0049 | 8 | |
| 1D Burgers' Equation Control | 1D Burgers' Equation FO-PC v1 (test) | J_actual0.0004 | 8 | |
| 1D Burgers' Equation Control | 1D Burgers' Equation PO-FC v1 (test) | J_actual0.011 | 7 | |
| Rollout Prediction | 1D Burgers' equation (400-step rollout) | RMSE0.13 | 5 | |
| Neural PDE Solving | 1D Burgers Equation | Residual Bound0.124 | 1 |
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