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Partial Differential Equation Solving research benchmarks – Page 3 · SOTA2 Research

Partial Differential Equation Solving

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Black-Scholes PDE European options In-domain grid summary

0.002RMSE

2

Feb 26, 2026

Inseparable Poisson equation two-body exact solution 100,000 dimensions

Backward mode SDGD

0.002Error

2

Feb 26, 2026

Inseparable Poisson equation two-body exact solution 10,000 dimensions

Backward mode SDGD

0.002Error

2

Feb 26, 2026

Inseparable Poisson equation two-body exact solution 1,000 dimensions

0Error

2

Feb 26, 2026

Inseparable Poisson equation two-body exact solution 100 dimensions

0.004Error

2

Feb 26, 2026

Chaotic Kuramoto-Sivashinsky (KS) equation

0.038Relative L2 Error

2

Feb 26, 2026

Inseparable Poisson equation 1,000,000 dimensions (two-body exact solution)

0.001Error

1

Feb 26, 2026

300Speedup

1

Feb 26, 2026

Korteweg-De Vries

80Speedup

1

Feb 26, 2026

Ginzburg-Landau

59Speedup

1

Feb 26, 2026

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Popular datasets

Inseparable Poisson equation NSE Navier-Stokes Allen-Cahn equation Klein-Gordon equation

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