Mathematical Modelling And Simulations
What is mathematical modelling? Types of problems and their solution. Dimensional analysis and similitude modelling. Basic statistics. Approximation and Validating Models. Fitting curves to data. Monte Carlo simulation. Deterministic models. Stochastic models. Optimization. Preparation and evaluation of experiments. Exponential growth and decay. Traffic flow models. Modelling vibration. Modelling ship motion.
Goals and competencies
The purpose of the course is to get acquainted with the student with methods and software tools for mathematical modelling and simulation in the technique.
- F.R.Giordano, M.D.Weir, W.P.Fox – A First Course in Mathematical Modeling, China Machine Press, 2003
- C.Dym – Principles of Mathematical Modeling, 2nd edition, Academic Press,. 2004
- S.Heinz – Mathematical Modeling, Springer, 2011