Simulation and Modelling

Dynamical systems. Theoretical models and modeling strategies. Evolution in time and space. Scale effects and multi-scale modeling. Explicit models for computer science and natural hazards. Queueing Theory. Fundamental Concepts of Queueing. TheoryThe M/M/1 Queue. The powerfulness of Simulation. Simulation strategies. Effective simulation codes for explicit theoretical models. Simulation of deterministic and stochastic dynamic systems. Analysis of simulation results and evaluation.

Objectives

The student will understand the concept of "mathematical application models" having used the study of a system with simulation tools. He/She will have become familiar with the features and functions used in the representation of a model with the computer and will have the opportunity to experiment with simple models using computer simulation tools.

Prerequisites

Non required

Syllabus

Dynamical systems. Theoretical models and modeling strategies. Evolution in time and space. Scale effects and multi-scale modeling. Explicit models for computer science and natural hazards. Queueing Theory. Fundamental Concepts of Queueing. TheoryThe M/M/1 Queue. The powerfulness of Simulation. Simulation strategies. Effective simulation codes for explicit theoretical models. Simulation of deterministic and stochastic dynamic systems. Analysis of simulation results and evaluation.