Terminated in academic year 2012/2013

Mathematical modeling of engineering problems

Type of study	Doctoral
Language of instruction	English
Code	714-0941/01
Abbreviation	MMIU
Course title	Mathematical modeling of engineering problems
Credits	10
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
6. Corectness of mathematical model
7. One-dimensional stationary states
8. Multi-dimensional stationary states.
9. Non-stationary processes - one-dimensional case
10. Initial problems for multivariate problems
11.-13. Facultative themes

Literature

Vlček, J.: Mathematical modeling, http://homen.vsb.cz/~vlc20/
Mathematical Modelling (Ed. M.S. Klamkin). SIAM, 1989.
Mathematical Modeling with Multidisciplinary Applications. Edited by Xin-She Yang, John Wiley & Sons, Inc., UK, 2013

Advised literature

Friedman, A. - Littman, W.: Industrial Mathematics. SIAM, 1994.
Keener, J. P.: Principles of Applied Mathematics. Adison-Wesley Publ. Comp. 1994

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