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Magnetic nanoparticles and their magnetization dynamics play an importantrole in many applications. We focus on magnetization dynamics in largeensembles of single domain nanoparticles being characterized by either Brownianor N\'{e}el rotation mechanisms. Simulations of the respective behavior areobtained by solving advection-diffusion equations on the sphere, for which aunified computational framework is developed and investigated. This builds thebasis for solving two parameter identification problems, which are formulatedin the context of the chosen application, magnetic particle imaging. Thefunctionality of the computational framework is illustrated by numericalresults in the parameter identification problems either compared quantitativelyor qualitatively to measured data.

A simulation framework for particle magnetization dynamics of large  ensembles of single domain particles: Numerical treatment of Brown/N\'{e}el  dynamics and parameter identification problems in magnetic particle imaging