Wave Equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Approximating Partial Differential Equations | Wave equation 39 | L_inf Error0 | 40 | |
| PDE Discovery | 2D Wave equation | TPR100 | 10 | |
| Conservation Error Estimation | 3D Wave equation | Momentum Error3.84 | 8 | |
| Conservation Error Estimation | 1D Wave equation | Momentum Error1.34 | 8 | |
| Operator Learning | Wave Equation RPB (Out) | Relative Median L1 Error1.17 | 7 | |
| Operator Learning | Wave Equation RPB (In) | Relative Median L1 Test Error0.63 | 7 | |
| PDE solution prediction and conservation | Wave Equation | Error u0.0195 | 3 | |
| Verification of generalization error | 1D wave equation | Epsilon | del_Omega (Certified)0 | 1 |
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