9600-1008/02 – Mathematical Modelling (MAM)
Gurantor department | IT4Innovations | Credits | 6 |
Subject guarantor | prof. Ing. Tomáš Kozubek, Ph.D. | Subject version guarantor | prof. Ing. Tomáš Kozubek, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | summer |
| | Study language | English |
Year of introduction | 2016/2017 | Year of cancellation | |
Intended for the faculties | USP | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Upon the successful completion of the course, students will be able to:
Actively use new terms in the field of mathematical modelling, which are essential for understanding modern computational method.
Discretize, solve, and analyze errors of selected mathematical model.
Choose and apply suitable discreet method for numerical solutions of mathematical models.
Teaching methods
Lectures
Tutorials
Project work
Summary
Compulsory literature:
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.
Recommended literature:
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
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
No other requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.