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Mathematical Modelling

Type of study	Follow-up Master
Language of instruction	Czech
Code	9600-1008/01
Abbreviation	MAM
Course title	Mathematical Modelling
Credits	6
Coordinating department	IT4Innovations
Course coordinator	prof. Ing. Tomáš Kozubek, Ph.D.

Osnova předmětu

1. Introduction to Mathematical Modelling.
2. Stationary Problem (String/Membrane Deflection), Discretization using the Finite Difference Method, Direct Solvers, Error Analysis, and Visualization of Results.
3. Non-stationary Problem (Heat Transfer, Diffusion), Discretization using the Finite Difference Method, Iterative Solvers, Error Analysis, and Visualization of Results.
4. Non-linear Heat Transfer Problem, Solution (Linearization) using Newton’s Method.
5. Signal and Image Analysis using FFT, FFT Efficient Algorithms, practical examples.

Povinná literatura

1. M. Meerschaert, Mathematical Modeling, ISBN-13: 978-0123869128.
2. N. Kapur, Mathematical Modelling, New Age International, 1988, 259 pages.
3. Kozubek, T., Brzobohatý, T., Hapla, V., Jarošová, M., Markopoulos, A. Lineární algebra s Matlabem, VŠB-TU Ostrava 2012, http://mi21.vsb.cz/modul/linearni-algebra-s-matlabem.

Doporučená literatura

1. Reddy, J. N. An introduction to the finite element method. 2nd Edition. McGraw-Hill, 1993.
2. Blaheta, R. Matematické modelování a metoda konečných prvků, VŠB-TU Ostrava 2012, http://mi21.vsb.cz/modul/matematicke-modelovani-metoda-konecnych-prvku-numericke-metody-2

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