Terminated in academic year 2019/2020

Mathematical modeling of engineering problems

Type of study	MasterFollow-up Master
Language of instruction	English
Code	714-0766/03
Abbreviation	MMIU
Course title	Mathematical modeling of engineering problems
Credits	3
Coordinating department	Department of Mathematics and Descriptive Geometry
Course coordinator	doc. RNDr. Jaroslav Vlček, CSc.

Subject syllabus

1. Principles of mathematical modeling.
2. State, flow, material and source quantities.
3. Basic relations: balance and constitutive.
4. Local and global balance.
5. Classification of boundary problems. Corectness of mathematical model.
6. One-dimensional stationary states.
7. Multi-dimensional stationary states.
8. PDE of second order: classification, Fourier method.
9. Non-stationary processes - one-dimensional case.
10. First order PDE. Method of characteristics.
11. Initial problems for multivariate problems.
12. Facultative themes

E-learning

www.mdg.vsb.cz

Literature

Vlček, J.: Mathematical modeling, http://homen.vsb.cz/~vlc20/
Mathematical Modelling (Ed. M.S. Klamkin). SIAM, 1989.

Advised literature

Friedman, A. - Littman, W.: Industrial Mathematics. SIAM, 1994.
Mathematical Modeling with Multidisciplinary Applications. Edited by Xin-She Yang, John Wiley & Sons, Inc., UK, 2013

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