Yanchuang Cao1, Jun Liu1, Dawei Chen1,*
The International Conference on Computational & Experimental Engineering and Sciences, Vol.25, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09272
Abstract Interactions of multiple points with oscillatory kernels are widely encountered in wave analysis. For large
scale problems, its direct evaluation is prohibitive since the computational cost increases quadratically with
the number of points.
Various fast algorithms have been constructed by exploiting specific properties of the kernel function. Early
fast algorithms, such as the fast multipole method (FMM) and its variants, H2-matrix, adaptive cross
approximation (ACA), wavelet-based method, etc., are generally developed for kernels that are
asymptotically smooth when source points and target points are well separated. For oscillatory kernels,
however, the asymptotic smoothness criteria is only satisfied when the oscillation… More >
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