| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| Eikonal PDE | TGPS-NT | Relative L2 Error0.0001 | 20 | 2mo ago | |
| Nonlinear elliptic PDE 18 1 (test) | TGPS-PF | Relative L2 Error0 | 20 | 2mo ago | |
| Klein-Gordon Equation (test) | DCGD (Center) + LRA | Max Relative L2 Error0.0068 | 11 | 3mo ago | |
| Burgers' Equation (test) | DCGD (Center) | Max Relative L2 Error0.0016 | 11 | 3mo ago | |
| Helmholtz Equation (test) | DCGD (Center) + LRA | Max Relative L2 Error0.0036 | 11 | 3mo ago | |
| 1D Boundary Layer Problem (Eq. 15), epsilon=1000 1.0 (test) | SincKAN | Relative L2 Error0.0055 | 5 | 1mo ago | |
| 1D Boundary Layer Problem (Eq. 15) epsilon=100 1.0 (test) | SincKAN | Relative L2 Error0.0002 | 5 | 1mo ago | |
| 1D Boundary Layer Problem Eq. 15 epsilon=10 1.0 (test) | ChebyKAN | Relative L2 Error0 | 5 | 1mo ago | |
| 1D Boundary Layer Problem Eq. 15, epsilon=1 1.0 (test) | ChebyKAN | Relative L2 Error0 | 5 | 1mo ago | |
| ANISOTROPIC PDE nc=64 (test) | NLSS | Solve Time (ms)29.18 | 5 | 3mo ago | |
| 2D Poisson Equation (Square Domain) analytical exact solution uex (test) | - | - | 0 | 3mo ago |