The switching process of a submicron-scale ferromagnetic thin-film is numerically computed and analyzed by using spectral representation in terms of the eigenfunctions of the self-adjoint operator which relates the magnetization vector field with the micromagnetic effective field. It is shown that only few spectral modes are involved in the dynamics. The analysis suggests that such basis functions could be used to develop spectral methods using only a considerable low number of modes. The general procedure to determine the nonlinear equation governing the evolution of the mode amplitudes is outlined
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