Geometric Numerical
Integration and Applications
A Mathematica code generating
explicit expressions and recurrences for the Wilcox
expansion
In the paper
- A. Arnal, F. Casas, C. Chiralt and
J.A. Oteo. A unifying framework for perturbative exponential factorizations. Mathematics 9
(2021), 637
we propose a unifying framework based on coordinate transformations where
Fer and Wilcox expansions for the solution of differential
equations are derived from two particular choices for the
initial transformation that seed the product expansion. We also
present recurrence formulas and explicit expressions. We have
elaborated a Mathematica code carrying out the computations
presented in that paper.
It can be downloaded here,
both the .nb file and also its pdf
version.