Datasets:

ArXiv:
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---
license: cc-by-nc-4.0
---

# Short Description

This dataset comprises solutions of the Helmholtz equation, see https://arxiv.org/abs/2405.19101.

# Dimensions

The H5 file has **19675** variables called *Sample_i* where i is the sample number. Every sample has three sub-groups:
*a* with dimensionality
  - 128 (x-dim)
  - 128 (y-dim)
*bc* (the value of the Dirichlet boundary condition, a float), as well as *u* with dimensionality
  - 128 (x-dim)
  - 128 (y-dim)

# Train/Val/Test-split

19035/128/512 trajectories

# Download

The dataset can be downloaded, e.g., via `huggingface-cli download`.