Numerical calculation method for function integration on submanifolds of $\mathbbR^n$ or compact Riemannian manifolds
<|reference_start|>Numerical calculation method for function integration on submanifolds of $\mathbbR^n$ or compact Riemannian manifolds: In this paper, we present a method for digitally representing the "volume element" and calculating the integral of a function on compact hypersurfaces with or without boundary, and low-dimensional submanifolds in $\mathbb{R}^n$. We also extend such calculation to hypersurfaces in compact Riemannnian manifolds.<|reference_end|>
@article{deng2024numerical,
    title={Numerical calculation method for function integration on submanifolds of
  $\mathbb{R}^n$ or compact Riemannian manifolds},
    author={Fusheng Deng, Gang Huang, Yingyi Wu},
    journal={arXiv preprint arXiv:2409.14151},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.14151},
    primaryClass={math.NA cs.NA math.DG}
}