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Papers Benchmarks Datasets Tasks

PDE Solution Prediction research benchmarks · SOTA2 Research

PDE Solution Prediction

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Navier-Stokes Equation (NSE) Norm Conservation (test)

Adaptive Correction

1.43Relative L2 Error

6

Mar 10, 2026

Linear Schrodinger Equation (LSE) Norm Conservation (test)

Adaptive Correction

0.8Relative L2 Error

6

Mar 10, 2026

Transport Equation (TE) Norm Conservation (test)

Adaptive Correction

0.82Relative L2 Error

6

Mar 10, 2026

Compressible Navier-Stokes (CNS) Mass Conservation (test)

Adaptive Correction

0.13Relative L2 Error

6

Mar 10, 2026

Shallow Water Equations (SWE) Mass Conservation (test)

Adaptive Correction

0.78Relative L2 Error

6

Mar 10, 2026

Compressible Advection-Compression (CAC) Mass Conservation (test)

Adaptive Correction

1.42Relative L2 Error

6

Mar 10, 2026

Transport Equation (TE) Mass Conservation (test)

Adaptive Correction

0.83Relative L2 Error

6

Mar 10, 2026

Popular datasets

Transport Equation Navier-Stokes Equation Shallow Water Equations (SWE)Compressible Advection-Compression (CAC)Compressible Navier-Stokes (CNS)

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