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Papers Benchmarks Datasets Tasks

PDE Dynamics Forecasting research benchmarks · SOTA2 Research

PDE Dynamics Forecasting

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

0.018NRMSE

21

Jun 12, 2026

Navier-Stokes (NS) OOD

0.312nMSE

11

Mar 4, 2026

Navier-Stokes (ID)

0.065nMSE

11

Mar 4, 2026

Heat Convection (HC) (OOD)

1.22nMSE

7

Mar 4, 2026

Heat Convection (ID)

0.037NMSE

7

Mar 4, 2026

0.011nMSE

7

Mar 4, 2026

Diffusion-Reaction (DR) (OOD)

0.042nMSE

7

Mar 4, 2026

0.005nMSE

7

Mar 4, 2026

Shallow Water OOD

0nMSE

6

Mar 4, 2026

Shallow Water (ID)

0nMSE

6

Mar 4, 2026

Airfoil irregular spatial domains OOD OFormer (test)

0.041nMSE

6

Mar 4, 2026

0.457nMSE

5

Mar 4, 2026

0.165nMSE

5

Mar 4, 2026

0.199nMSE

5

Mar 4, 2026

0.001nMSE

5

Mar 4, 2026

Popular datasets

DR NS Navier-Stokes Burgers Shallow-Water

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