# Simulation

## The mathematical computer simulation is an essential element in the development of complex dynamic systems.

Different “virtual” experiments are carried out on the model within the simulation. This produces findings concerning the real systems. Mathematical models are, because of their complexity, often difficult to assess using analytical methods. This is also the case when it may be important to use analytical solutions because of a special set of model assumptions or model parameters.

An important part of the modelling process is therefore to analyse a finished mathematical model using computer solutions. The results of the simulation or the measured data should be visualised when dealing with large data volumes.

The basis of a computer solution is usually a numerical process or an algorithm which provides an approximate solution to the mathematical problem given. A cycle on the computer using definite parameter values creates a simulation experiment whose results are then deciphered. The findings resulting from this are then transferred to the real system.

**This simulation method is used many logistical, technical or financial areas.**