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Papers Benchmarks Datasets Tasks

High-Dimensional PDE Solving research benchmarks · SOTA2 Research

High-Dimensional PDE Solving

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

PIDE (Partial Integro-Differential Equation)

0.014RL2 Error

12

May 15, 2026

0.213RL2 Error

12

May 15, 2026

AC (Allen-Cahn)

0.003RL2 Error

12

May 15, 2026

BSB (Black-Scholes-Barenblatt)

0.005RL2 Error

12

May 15, 2026

HJB (Hamilton-Jacobi-Bellman)

0.087RL2 Error

12

May 15, 2026

Schrödinger 100D

0.087Relative MAE

2

Jun 4, 2026

Schrödinger 5D

0.001rMAE

2

Jun 4, 2026

Heat triangular domain

0.77rMAE

2

Jun 4, 2026

Taylor-Green 2D

0.003Relative MAE (Taylor-Green 2D)

2

Jun 4, 2026

Popular datasets

Schrödinger HJB Heat BSB (Black-Scholes-Barenblatt)AC (Allen-Cahn)

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