Prediction methods and systems including a central processing unit including a data acquisition unit configured to acquire experimental data of a parameter characterizing the time-dependent phenomenon, a data acquisition unit configured to acquire digital data of the parameter characterizing the phenomenon, and a data processing unit configured to combine the experimental data and the digital data, by using a proper orthogonal decomposition POD that makes it possible to obtain an effective prediction of the time-dependent phenomenon, combining the advantages of the experimental data (accuracy) and those of the digital data (spatial resolution).