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Papers Benchmarks Datasets Tasks

PDE Modeling research benchmarks · SOTA2 Research

PDE Modeling

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Burgers' Equation various resolutions (val)

0.002Relative L2 Error

36

Feb 26, 2026

Diffusion Reaction 2D (DR2D)

0.001RMSE

9

Mar 12, 2026

Shallow Water 2D (SW2D)

0.001RMSE

9

Mar 12, 2026

Kuramoto–Sivashinsky long horizon, 640 steps

243HCT (MS-2)

8

May 12, 2026

Kuramoto–Sivashinsky short horizon, 140 steps

140HCT (MS-2)

8

May 12, 2026

Kolmogorov flow long horizon, 180 steps

180HCT (MS, Res=2)

8

May 12, 2026

Kolmogorov flow short horizon 60 steps

Plain Amortized

38HCT (MS-2)

8

May 12, 2026

Belousov-Zhabotinsky system

3.08Rel. L2 Error (u)

6

Apr 20, 2026

0.501RMSE

6

Mar 12, 2026

Isotropic Kolmogorov turbulence Re = 222 (test)

2.43L2RE

3

Apr 21, 2026

Popular datasets

Kolmogorov flow Kuramoto-Sivashinsky Burgers' Equation Shallow Water 2D Diffusion Reaction 2D

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