Publications [#237280] of Xiaobai Sun

Journal articles or Book chapters PUBLISHED

1. Zhang, B; Huang, J; Pitsianis, NP; Sun, X, A Fourier-series-based kernel-independent fast multipole method, Journal of Computational Physics, vol. 230 no. 15 (January, 2011), pp. 5807-5821, Elsevier BV, ISSN 0021-9991 [doi]
   (last updated on 2026/01/15)

   Abstract:
   We present in this paper a new kernel-independent fast multipole method (FMM), named as FKI-FMM, for pairwise particle interactions with translation-invariant kernel functions. FKI-FMM creates, using numerical techniques, sufficiently accurate and compressive representations of a given kernel function over multi-scale interaction regions in the form of a truncated Fourier series. It provides also economic operators for the multipole-to-multipole, multipole-to-local, and local-to-local translations that are typical and essential in the FMM algorithms. The multipole-to-local translation operator, in particular, is readily diagonal and does not dominate in arithmetic operations. FKI-FMM provides an alternative and competitive option, among other kernel-independent FMM algorithms, for an efficient application of the FMM, especially for applications where the kernel function consists of multi-physics and multi-scale components as those arising in recent studies of biological systems. We present the complexity analysis and demonstrate with experimental results the FKI-FMM performance in accuracy and efficiency. © 2011 Elsevier Inc.