@unpublished{beutler2025discretegeodesiccalculusspace,
      title={Discrete Geodesic Calculus in the Space of Sobolev Curves}, 
      author={Sascha Beutler and Florine Hartwig and Martin Rumpf and Benedikt Wirth},
      year={2025},
      eprint={2505.10298},
      archivePrefix={arXiv},
      primaryClass={math.NA},
      url={https://arxiv.org/abs/2505.10298},
      note={submitted}
}