| Course Unit Code | 230-0325/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Choice-compulsory type B |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| CER365 | doc. Ing. Martin Čermák, Ph.D. |
| POS220 | Ing. Lukáš Pospíšil, Ph.D. |
| TUZ006 | RNDr. Michaela Bobková, Ph.D. |
| Summary |
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| Learning Outcomes of the Course Unit |
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| Course Contents |
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1. Course contents, the issue of errors, the stability of calculations.
2. A solution of nonlinear equations, separation of roots, bisection method, regula-falsi method.
3. Newton's method and fixed-point iterations.
4. Direct methods for solving linear equations, Gaussian elimination, and LU-decomposition.
5. Eigenvalues and eigenvectors, numerical calculation.
6. Iterative methods for solving linear equations.
7. Iterative methods for solving nonlinear equations.
8. Interpolation by polynomials.
9. Interpolation by splines.
10. Least squares approximation.
11. Numerical differentiation and integration, Newton-Cotes formulae.
12. Method of finite volume and method of finite elements.
13. The introduction of the CFD method (Navier-Stokes equation).
14. Reserve.
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| Recommended or Required Reading |
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| Required Reading: |
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| [1] Conte, C.D., de Boor, C.: Elementary Numerical Analysis, SIAM - Society for Industrial and Applied Mathematics, ISBN-10: 1611975190, 2018. |
[1] Boháč,Z., Častová,N.: Základní numerické metody. Skriptum VŠB-TUO,
Ostrava 1997. ISBN 80-7078-975-1
[2] Vondrák,V., Pospíšil,L.: Numerické metody 1. Skriptum VŠB-TUO, Ostrava 2011. http://mi21.vsb.cz/sites/mi21.vsb.cz/files/unit/numericke_metody.pdf
[3] http://homel.vsb.cz/~kuc14/teach_NM.html |
| Recommended Reading: |
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| [1] Griffiths, G.W.: Numerical Analysis Using R: Solutions to ODEs and PDEs, Cambridge University Press, ISBN-10: 1107115612, 2016. |
| [1] Vitásek,E.: Numerické metody.SNTL, Praha 1987 |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 20 | 10 |
| Examination | Examination | 80 (80) | 30 |
| Písemná zkouška | Written examination | 60 | 25 |
| Ústní zkouška | Oral examination | 20 | 5 |