Geometric Numerical Integration and Applications

Geometric Numerical Integration and Applications

Unitary perturbation theory based on Lie-Deprit transformations

Here we collect a couple of Mathematica notebooks containing terms of the series defining the unitary transformations used in the perturbation theory developed in the paper

F. Casas, J.A. Oteo and J. Ros. Unitary transformations depending on a small parameter. Proceedings of the Royal Society A. Mathematical, Physical & Engineering Sciences 468 (2012), 685-700

Coefficients of the Magnus series (v_n in the paper)

Coefficients of the adjoint of Omega acting on the derivative of H (w_n in the paper)