Advection Equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Symbolic Regression | 3D Advection Equation (test) | MSE0.123 | 60 | |
| Symbolic Regression | 2D Advection Equation (test) | MSE0.138 | 38 | |
| Conservation Error Estimation | Advection equation 1D | Momentum Error1.56 | 8 | |
| Equation Discovery | Advection Equation Noise Levels: 0%, 1%, 20% (large) PDE | RMSE (0% Noise)0.26 | 8 | |
| Solving Advection Equation | Advection Equation | Relative L2 Error1.19 | 6 | |
| Advection Equation | Advection Equation 60K epochs | L1 Error0.0003 | 5 | |
| PDE solving | Advection equation | Relative L2 Error1.15 | 4 |
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