The research interests of Ivana Vidanovic concern development of efficient numerical methods for studying properties of quantum systems realized experimentally in the ultra-cold atomic setup. Together with her collaborators, Ivana worked on the derivation of the expressions for the improved short-time propagators and on their numerical tests. She applied the obtained results to efficient calculations of energy spectra of different physical models using two different approaches - Monte Carlo simulations and exact diagonalization of a space-discretized evolution operator. In the recent paper, Ivana investigated the consequences of nonlinear dynamics on the properties of excited collective modes of a Bose-Einstein condensate within the mean-filed framework.