We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
The multi-scale approach to the magnetization dynamics driven by external magnetic fields is presented. In this approach, the Landau-Lifshitz equations are represented in a new equivalent form, where the magnetic free energy is used as one of the states variables. This new form clearly separates fast and slow dynamics and, consequently, it can be used for the development of perturbation and multiple scale techniques. Several applications of this approach to the precessional magnetization switching are discussed.