The Magnus expansion and some of its applications

@inproceedings{Blanes2008TheME,
  title={The Magnus expansion and some of its applications},
  author={SYMPLECTICINTEGRATORSS. Blanes and Fernando Casas and Jose A Oteo and Javier Ros},
  year={2008}
}
Approximate resolution of linear systems of differential equationswith varying coefficients is a recurrent problem, shared by a number of scientific and engineering areas, ranging from QuantumMechanics to Control Theory. When formulated in operator or matrix form, the Magnus expansion furnishes an elegant setting to build up approximate exponential representations of the solution of the system. It provides a power series expansion for the corresponding exponent and is sometimes referred to as… CONTINUE READING
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