A new inversion method for NMR signal processing

Use of Traveling Wave Signatures in Medium-Voltage Distribution Systems for Fault Detection and Location

“…These methods are optimal because they minimize the required number of approximation terms for any user-selected target accuracy. Members of our team have been instrumental in the development and application of these methods, and we are confident that improvements can be achieved by employing this powerful methodology ( (Beylkin, Kurcz, and Monzón 2008), (Beylkin, Kurcz, and Monzón 2007), (Beylkin, Kurcz, and Monzón 2009), (Beylkin, Lewis, and Monzón 2012), (Beylkin and Monzón 2016), (Reynolds, Beylkin, and Monzón 2013), (Yarman, Lewis, and Monzon 2016), (Yarman et al 2013), (Damle et al 2013), (Lewis, Beylkin, and Monzón 2013), (Haut, Beylkin, and Monzón 2013), , (Castro et al 2018)). For the rational approximation of multiple functions using a common set of poles, we plan to replace vector fitting by the modified multi-input adaptive Antoulas-Anderson (MIAAA) algorithm (see Section 2.2.4), which is an extension of very recent results on rational approximations (Nakatsukasa, Sète, and Trefethen 2018).…”