Mathematical functions and polynomials Open access

SinCoTrap: A High-Order Locally Corrected Trapezoidal Rule for Periodic Singular Integrals in Arbitrary Dimensions

Hengzhun Chen, Yingzhou Li

arXiv (Cornell University) | Jul 14, 2026

Abstract

Abstract

We present SinCoTrap (Singularity-Corrected Trapezoidal Rule), a high-order locally corrected trapezoidal method for periodic singular integrals in arbitrary dimension $d$ with kernel $|\boldsymbol{x}|^{-s}$, $0

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Hengzhun Chen

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Yingzhou Li

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@article{Chen2026SinCoTrap,
  title = {SinCoTrap: A High-Order Locally Corrected Trapezoidal Rule for Periodic Singular Integrals in Arbitrary Dimensions},
  author = {Hengzhun Chen and Yingzhou Li},
  journal = {arXiv (Cornell University)},
  year = {2026},
  doi = {10.48550/arxiv.2607.12390},
  url = {https://doi.org/10.48550/arxiv.2607.12390}
}

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