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Solving parameterized PDEs research benchmarks · SOTA2 Research

Solving parameterized PDEs

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

1.89In-time L2 Relative Error

7

Mar 16, 2026

0.47In-time L2 Relative Error (%)

7

Mar 16, 2026

Convection-Diffusion-Reaction (Conv-Diff-Reac) PDE (β, ν, ρ ∈ [1, 5]) (test)

1.44Relative Error

6

Feb 26, 2026

Reaction PDE (β, ν, ρ ∈ [1, 5]) (test)

0.45Relative Error

6

Feb 26, 2026

Convection PDE (β, ν, ρ ∈ [1, 5]) (test)

0.009Relative Error

6

Feb 26, 2026

Parameterized Sine-Gordon PDE

0.001Relative L2 Error

5

Jun 23, 2026

Parameterized Allen-Cahn PDE

0.071Relative L2 Error

5

Jun 23, 2026

Popular datasets

CDR Convection PDE Reaction PDE Convection-Diffusion-Reaction PDE Allen-Cahn PDE

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