Correlations Between Reality and Modelling

Mathematical modelling and mathematics are a “Key Technology”. Mathematics is one of the core competences in developing reliable and efficient simulations for technical, economical and biological systems; thereby, mathematics found a new role as a key technology. In order to simulate any process, it is necessary to find an appropriate model for it and to create an efficient algorithm to evaluate the model. In practice, still one of the main restrictions is time: If one wants to optimize the process, the simulation must be very fast and, therefore, model and algorithm must be looked as a whole and, together, made as efficient as possible.