Optimization of data assimilation methods for the INM-IM ionosphere model

This work focuses on optimizing previously developed variational data assimilation methods for the INM-IM global Earth ionosphere dynamical model to achieve more efficient numerical short-term recovery of the global ionospheric F region characteristics. Several modifications to the existing algorithms are proposed. First, the formulation of the assimilation problem and its implementation are enhanced by introducing an additional control function in the initial conditions. Furthermore, the role of different control types in assimilating ionospheric data is investigated. Finally, a method for splitting the assimilation time interval into subintervals is implemented, which significantly increases the overall computational efficiency of the algorithm while maintaining solution reconstruction accuracy.