A computational strategy, aimed at evaluating diffraction catastrophes belonging to the X-9 family is presented. The approach proposed is based on the use of power series expansions, suitably derived for giving meaningful representation of the whole X-0(9) subfamily, jointly with a powerful sequence transformation algorithm, the so-called Weniger transformation. The convergence features of the above series expansions are investigated, and several numerical experiments are carried out to assess the effectiveness of the retrieving action of the Weniger transformation, as well as the ease of implementation of the whole approach.
Borghi, R. (2012). Numerical computation of diffraction catastrophes with codimension eight. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 85(4) [10.1103/PhysRevE.85.046704].
Numerical computation of diffraction catastrophes with codimension eight
BORGHI, Riccardo
2012-01-01
Abstract
A computational strategy, aimed at evaluating diffraction catastrophes belonging to the X-9 family is presented. The approach proposed is based on the use of power series expansions, suitably derived for giving meaningful representation of the whole X-0(9) subfamily, jointly with a powerful sequence transformation algorithm, the so-called Weniger transformation. The convergence features of the above series expansions are investigated, and several numerical experiments are carried out to assess the effectiveness of the retrieving action of the Weniger transformation, as well as the ease of implementation of the whole approach.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
