The content introduces a novel algorithm, SOEwald2D, for efficient computation of long-range interactions in quasi-2D Coulomb systems. By utilizing Sum-of-Exponentials (SOE) approximations and iterative methods, the algorithm significantly reduces computational complexity to O(N). The error analysis and fast evaluation scheme ensure accurate results with linear complexity.
The article discusses the challenges posed by long-range interactions in quasi-2D systems and presents a detailed approach to address them effectively. Through SOE approximations and iterative algorithms, the proposed method offers a significant speedup compared to traditional approaches. The error estimates and complexity analysis provide insights into the reliability and efficiency of the SOEwald2D algorithm.
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by Zecheng Gan,... at arxiv.org 03-05-2024
https://arxiv.org/pdf/2403.01521.pdfDeeper Inquiries