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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

Numerical Methods

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Code Completion Credits Range Language
101YNUM Z 2 1P+1C Czech
Garant předmětu:
Ivana Pultarová
Lecturer:
Liya Gaynutdinova, Martin Ladecký, Ivana Pultarová
Tutor:
Liya Gaynutdinova, Martin Ladecký, Ivana Pultarová
Supervisor:
Department of Mathematics
Synopsis:

Numerical computing in applied mathematics: course for beginners.

Requirements:

Active participating in lectures. Homework and seminar work.

Syllabus of lectures:

1. Finite element method.

2. Solving systems of linear equations.

3. Higher order basis functions.

4. FEM for 2D problems.

5. Piece-wise linear basis functions.

6. Iterative methods for systems of linear equations.

7. Conjugate gradient method.

8. Preconditioning.

9. Spectra of preconditioned systems.

10. Convergence estimates.

11. Nonlinear problems and Newton's method.

Syllabus of tutorials:

Learning Matlab and coding.

Practising numerical algorithms.

Convergence issues.

Working on individual projects.

Study Objective:

Improving the students' skils in numerical method for applied mathematics.

Study materials:

A. Quarteroni, R. Sacco, F. Saleri, Numerical mathematics

C. Johnson, Numerical solution of partial differential equations by finite element method

F. Bubeník, M. Pultar, I. Pultarová, Matematické vzorce a metody

Note:
Further information:
https://mat.fsv.cvut.cz/vyuka/volitelne/ls#YNUM
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
roomTH:B-369

18:00–18:50
(lecture parallel1)
Thákurova 7 (budova FSv)
B369
roomTH:B-369

19:00–19:50
(lecture parallel1
parallel nr.101)

Thákurova 7 (budova FSv)
B369
Tue
Wed
Thu
Fri
The course is a part of the following study plans:
Data valid to 2024-06-15
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet24826605.html