Advection-diffusion
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Advection-diffusion prediction | advection diffusion (test) | Relative L2 Error4.06 | 11 | |
| Advection-diffusion prediction | advection diffusion (train) | Relative L2 Error3.99 | 11 | |
| PDE Solving | Advection-Diffusion OOD N_train=100 | Normalized L2 Error1.81 | 8 | |
| PDE Solving | Advection-Diffusion ID N_train=100 | Normalized L2 Error0.49 | 8 | |
| PDE Reconstruction | Advection-Diffusion homogeneous case (test) | RMSE0.08 | 5 | |
| PDE Reconstruction | Advection-Diffusion synthetic (test) | RMSE0.103 | 5 | |
| Forward prediction | Advection-diffusion N=500 per family (test) | Relative L2 Error1.28 | 4 |
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