title: Optimizing diffraction catastrophe evaluation.
abstract: A theoretical analysis is proposed, aimed at investigating the character of those power series expansions recently considered for the evaluation of several types of diffraction catastrophes. A hyperlinear convergence is found to be the signature for such expansions, so that the results of the numerical experiments recently carried out find a meaningful interpretation in terms of the accelerating action operated by the Weniger transformation. As an important by-product of our analysis, simple criteria, aimed at numerically optimizing the diffraction catastrophe evaluations, are provided through analytical expressions.
authors.affiliation: Dipartimento di Elettronica Applicata, Università Roma Tre, Rome, Italy. borghi@uniroma3.it
authors.forename: Riccardo
authors.initials: R
authors.lastname: Borghi