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- W3081566106 abstract "A kernel-independent treecode (KITC) is presented for fast summation of particle interactions. The method employs barycentric Lagrange interpolation at Chebyshev points to approximate well-separated particle-cluster interactions. The KITC requires only kernel evaluations, is suitable for non-oscillatory kernels, and it utilizes a scale-invariance property of barycentric Lagrange interpolation. For a given level of accuracy, the treecode reduces the operation count for pairwise interactions from $O(N^2)$ to $O(Nlog N)$, where $N$ is the number of particles in the system. The algorithm is demonstrated for systems of regularized Stokeslets and rotlets in 3D, and numerical results show the treecode performance in terms of error, CPU time, and memory consumption. The KITC is a relatively simple algorithm with low memory consumption, and this enables a straightforward OpenMP parallelization." @default.
- W3081566106 created "2020-09-08" @default.
- W3081566106 creator A5073216396 @default.
- W3081566106 date "2020-06-01" @default.
- W3081566106 modified "2023-10-17" @default.
- W3081566106 title "A Kernel-Independent Treecode Based on Barycentric Lagrange Interpolation" @default.
- W3081566106 doi "https://doi.org/10.4208/cicp.oa-2019-0177" @default.
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