Kalfa, MertErgül, ÖzgürErtürk, Vakur Behçet2025-02-212025-02-212024-01-010018-926Xhttps://hdl.handle.net/11693/116575We propose and demonstrate a multiple-precision arithmetic (MPA) framework applied to the inherent hierarchical tree structure of the multilevel fast multipole algorithm (MLFMA), dubbed the MPA-MLFMA that provides an unconventional but elegant treatment to both the low-frequency breakdown (LFB) and the efficiency limitations of MLFMA for electrically large problems with fine geometrical details. We show that a distinct machine precision (MP) can be assigned to each level of the tree structure of MPA-MLFMA, which, in turn, enables controlled accuracy and efficiency over arbitrarily large frequency bandwidths. We present the capabilities of MPA-MLFMA over a wide range of broadband and multiscale scattering problems. We also discuss the implications of a multiple-precision framework implemented in software and hardware platforms.EnglishCC BY-NC-ND 4.0 DEED (Attribution-NonCommercial-NoDerivatives 4.0 International)https://creativecommons.org/licenses/by-nc-nd/4.0/Error analysisLow-frequency breakdown (LFB)Multilevel fast multipole algorithm (MLFMA)Multiple-precision arithmetic (MPA)Article10.1109/TAP.2023.32910771558-2221