| 2-D Darcy Flow | FNO | MSE0.0002 | | 12 | 1mo ago |
| 1-D Diffusion | FNO | MSE0 | | 12 | 1mo ago |
| 1-D Advection | FNO | MSE0.0001 | | 12 | 1mo ago |
| Navier-Stokes equation Large regime, Re=2000 | PhyTF-GAN | Relative MSE0.183 | | 6 | 16d ago |
| Navier-Stokes equation Medium regime, Re=1000 | PhyTF-GAN | Relative MSE0.0007 | | 6 | 16d ago |
| Navier-Stokes equation Small regime, Re=500 | PhyTF-GAN | Relative MSE0.0336 | | 6 | 16d ago |
| Klein-Gordon equation Large regime, m=5 | PINNs-RAR | Relative MSE0.0016 | | 6 | 16d ago |
| Klein-Gordon equation Medium regime, m=3 | PhyTF-GAN | Relative MSE0.0008 | | 6 | 16d ago |
| Klein-Gordon equation Small regime, m=1 | PhyTF-GAN | Relative MSE0.0388 | | 6 | 16d ago |
| Allen-Cahn equation Large regime, phi=2 | PhyTF-GAN | Relative MSE0.0001 | | 6 | 16d ago |
| Allen-Cahn equation Medium regime, phi=1 | PhyTF-GAN | Relative MSE0.0001 | | 6 | 16d ago |
| Allen-Cahn equation Small regime, phi=0.5 | PhyTF-GAN | Relative MSE0.0002 | | 6 | 16d ago |
| 4D multiscale equation | AEH-PINN | Relative L2 Error0.0001 | | 6 | 1mo ago |
| Black-Scholes PDE European options In-domain grid summary | StudentPINN | RMSE0.0023 | | 2 | 1mo ago |
| Inseparable Poisson equation two-body exact solution 100,000 dimensions | Backward mode SDGD | Error0.0022 | | 2 | 1mo ago |
| Inseparable Poisson equation two-body exact solution 10,000 dimensions | Backward mode SDGD | Error0.0019 | | 2 | 1mo ago |
| Inseparable Poisson equation two-body exact solution 1,000 dimensions | STDE | Error0.0005 | | 2 | 1mo ago |
| Inseparable Poisson equation two-body exact solution 100 dimensions | STDE | Error0.0035 | | 2 | 1mo ago |
| Convection equation | DCGD (Center) | Relative L2 Error0.246 | | 2 | 1mo ago |
| Chaotic Kuramoto-Sivashinsky (KS) equation | DCGD (Center) | Relative L2 Error0.0376 | | 2 | 1mo ago |
| Inseparable Poisson equation 1,000,000 dimensions (two-body exact solution) | STDE | Error0.0009 | | 1 | 1mo ago |
| Navier-Stokes | NSPDE | Speedup300 | | 1 | 1mo ago |
| Korteweg-De Vries | NSPDE | Speedup80 | | 1 | 1mo ago |
| Ginzburg-Landau | NSPDE | Speedup59 | | 1 | 1mo ago |