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Papers Benchmarks Datasets Tasks

PDE Rollout Prediction research benchmarks · SOTA2 Research

PDE Rollout Prediction

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

diff-react PDEBench (test)

1.6nRMSE

84

Mar 20, 2026

Darcy trajectory set (test)

0.017Rollout Relative H1 Error

8

May 14, 2026

NS-2D trajectory set (test)

0.82Rollout Relative H1 Error

8

May 14, 2026

Adv-2D trajectory set (test)

5.25Rollout Relative H1 Error

8

May 14, 2026

KdV trajectory set (test)

0.052Rollout Relative H1 Error

8

May 14, 2026

KS trajectory set (test)

40.55Relative H1 Error

8

May 14, 2026

Burgers trajectory set (test)

4.18Rollout Relative H1

8

May 14, 2026

PDEBench 3D-CFD M1.0Rand transonic compressible Navier-Stokes

0.772Rollout Relative H1 Error

7

May 14, 2026

AC-2D trajectory set (test)

1.24Rollout Relative H1 Error

7

May 14, 2026

PDEBench Aggregate All time-dependent families

0.074Mean nRMSE

7

Apr 1, 2026

Incompressible Taylor–Green vortex

1.91Rollout MSE

6

Mar 9, 2026

2D Shallow Water Equations (SWE) random initial condition

1.1Rollout MSE

6

Mar 9, 2026

2D Shallow Water Equations (SWE) Gaussian-pulse initial condition

1.31Rollout MSE

6

Mar 9, 2026

Popular datasets

PDEBench 2D Shallow Water Equations (SWE)KdV KS Burgers

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