The Faculty of Maritime Studies and Transport
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Transport
2022/2023

Mathematical Modelling and Simulations


Syllabus

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.

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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.


Basic literature

  1. F.R.Giordano, M.D.Weir, W.P.Fox – A First Course in Mathematical Modeling, China Machine Press, 2003
  2. C.Dym – Principles of Mathematical Modeling, 2nd edition, Academic Press,. 2004
  3. S.Heinz – Mathematical Modeling, Springer, 2011

Lecturers

Lectures