3 papers
math.NA2024
Exponential perturbative expansions and coordinate transformations
Ana Arnal, Fernando Casas, Cristina Chiralt
We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, th…
math.NA2024
A unifying framework for perturbative exponential factorizations
Ana Arnal, Fernando Casas, Cristina Chiralt
We propose a framework where Fer and Wilcox expansions for the solution of differential equations are derived from two particular choices for the initial transformation that seeds…
math.NA2022
Magnus integrators for linear and quasilinear delay differential equations
Ana Arnal, Fernando Casas, Cristina Chiralt
A procedure to numerically integrate non-autonomous linear delay differential equations is presented. It is based on the use of an spectral discretization of the delayed part to tr…