Mathematics > Numerical Analysis
[Submitted on 21 Sep 2024
]
Title: Numerical calculation method for function integration on submanifolds of $\mathbb{R}^n$ or compact Riemannian manifolds
Title: 适用于$\mathbb{R}^n$或紧致黎曼流形的子流形上的函数积分的数值计算方法
Abstract: 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.
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