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math-ph2019
Continuous changes of variables and the Magnus expansion
Fernando Casas, Philippe Chartier, Ander Murua
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuo…
math-ph2008★ 89 cited
An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications
Fernando Casas, Ander Murua
We provide a new algorithm for generating the Baker--Campbell--Hausdorff (BCH) series $Z = \log(\e^X \e^Y)$ in an arbitrary generalized Hall basis of the free Lie algebra $\mathcal…