230-0325/03 – Numerical models and applications (NMA)
| Gurantor department | Department of Mathematics | Credits | 4 |
| Subject guarantor | doc. Ing. Martin Čermák, Ph.D. | Subject version guarantor | doc. Ing. Martin Čermák, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory type B |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2020/2021 | Year of cancellation | |
| Intended for the faculties | FBI | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Teaching methods
Lectures
Individual consultations
Tutorials
Summary
Compulsory literature:
[1] Conte, C.D., de Boor, C.: Elementary Numerical Analysis, SIAM - Society for Industrial and Applied Mathematics, ISBN-10: 1611975190, 2018.
Recommended literature:
[1] Griffiths, G.W.: Numerical Analysis Using R: Solutions to ODEs and PDEs, Cambridge University Press, ISBN-10: 1107115612, 2016.
Way of continuous check of knowledge in the course of semester
zápočet a zkouška
E-learning
www.studopory.vsb.cz
mdg.vsb.cz
Other requirements
No more requirements are put on the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction