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SOTA Partial Differential Equation Solving benchmarks and papers with code | Wizwand
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Partial Differential Equation Solving
Benchmarks
Dataset Name
SOTA Method
Dataset Name
SOTA Method
Metric
Trend
Results
Last Updated
2-D Darcy Flow
FNO
MSE
0.0002
12
4d ago
1-D Diffusion
FNO
MSE
0
12
4d ago
1-D Advection
FNO
MSE
0.0001
12
4d ago
4D multiscale equation
AEH-PINN
Relative L2 Error
0.0001
6
4d ago
Black-Scholes PDE European options In-domain grid summary
StudentPINN
RMSE
0.0023
2
4d ago
Inseparable Poisson equation two-body exact solution 100,000 dimensions
Backward mode SDGD
Error
0.0022
2
4d ago
Inseparable Poisson equation two-body exact solution 10,000 dimensions
Backward mode SDGD
Error
0.0019
2
4d ago
Inseparable Poisson equation two-body exact solution 1,000 dimensions
STDE
Error
0.0005
2
4d ago
Inseparable Poisson equation two-body exact solution 100 dimensions
STDE
Error
0.0035
2
4d ago
Convection equation
DCGD (Center)
Relative L2 Error
0.246
2
4d ago
Chaotic Kuramoto-Sivashinsky (KS) equation
DCGD (Center)
Relative L2 Error
0.0376
2
4d ago
Inseparable Poisson equation 1,000,000 dimensions (two-body exact solution)
STDE
Error
0.0009
1
4d ago
Navier-Stokes
NSPDE
Speedup
300
1
4d ago
Korteweg-De Vries
NSPDE
Speedup
80
1
4d ago
Ginzburg-Landau
NSPDE
Speedup
59
1
4d ago
Showing 15 of 15 rows
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