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math-ph2008★ 1.2k cited
The Magnus expansion and some of its applications
S. Blanes, F. Casas, J. A. Oteo +1
Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging…
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…