1D Viscous Burgers' Equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Discovery | 1D viscous Burgers equation | TPR100 | 10 | |
| Shock Capturing | 1D Viscous Burgers' Equation Single-step shock capturing | RMSE0.0116 | 5 | |
| OOD Generalization | 1D viscous Burgers' equation Interpolation OOD (test) | Relative L2 Error0.3 | 5 | |
| OOD Generalization | 1D viscous Burgers' equation High Freq OOD (test) | Relative L2 Error0.048 | 5 | |
| OOD Generalization | 1D viscous Burgers' equation High ν (OOD test) | Relative L2 Error0.008 | 5 | |
| OOD Generalization | 1D viscous Burgers' equation Low ν (OOD test) | Relative L2 Error0.9 | 5 | |
| Scientific Machine Learning (SciML) | 1D Viscous Burgers' Equation (val) | Initial Validation Loss0.88 | 3 |
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