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Papers Benchmarks Datasets Tasks

PDE-Constrained Learning research benchmarks · SOTA2 Research

PDE-Constrained Learning

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Wave Equation Step IC

7.2MSE (IBC)

2

Jun 29, 2026

Wave Equation Sine Mix IC

4.6MSE (IBC)

2

Jun 29, 2026

Wave Equation Sine IC

1.1MSE (IBC)

2

Jun 29, 2026

Wave Equation Gauss Mix IC

2.7MSE (IBC)

2

Jun 29, 2026

Wave Equation Gauss IC

1.5MSE (IBC)

2

Jun 29, 2026

Heat Equation Step IC

1.8MSE (IBC)

2

Jun 29, 2026

Heat Equation Sine Mix IC

2MSE (IBC)

2

Jun 29, 2026

Heat Equation Sine IC

2.4MSE (IBC)

2

Jun 29, 2026

Heat Equation Gauss IC

2.4MSE (IBC)

2

Jun 29, 2026

Heat Equation Poly IC

8.2MSE (IBC)

2

Jun 29, 2026

Popular datasets

Heat equation Wave Equation

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