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Papers Benchmarks Datasets Tasks

1D PDE forecasting research benchmarks · SOTA2 Research

1D PDE forecasting

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Viscous Burgers 1D In-distribution 1.0 (test)

0.132Relative L2 Error

6

May 8, 2026

Shallow water 1D In-distribution 1.0 (test)

0.006Relative L2 Error

6

May 8, 2026

Cubic 1D In-distribution 1.0 (test)

0.004Relative L2 Error

6

May 8, 2026

KdV multi-soliton out-of-distribution (test)

UNet + comm. reg.

1.6nMSE (Step 50)

3

May 12, 2026

Popular datasets

Cubic 1D Shallow water 1D Viscous Burgers 1D KdV multi-soliton

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