Heat2D
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Forward PDE Solving | Heat2D LongTime (test) | Mean L2RE0.9977 | 4 | |
| Forward PDE Solving | Heat2D ComplexGeometry (test) | Mean L2 Reconstruction Error0.0217 | 4 | |
| Solving Partial Differential Equations | Heat2D VaryingCoef | Percentage Improvement40.81 | 4 | |
| Solving Partial Differential Equations | Heat2D LongTime | Percentage Improvement-0.01 | 3 | |
| Solving Partial Differential Equations | Heat2D Complex | Percentage Improvement35.11 | 3 | |
| Solving Partial Differential Equations | Heat2D Multiscale | Percentage Improvement94.32 | 3 | |
| Solving Heat Equation | Heat2D LongTime | Relative L2 Error0.999 | 2 | |
| Solving Heat Equation | Heat2D ComplexGeometry | Relative L2 Error1.29 | 2 | |
| Solving Heat Equation | Heat2D Multiscale | Relative L2 Error1.49 | 2 |
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