Numerical Methods

Code	Completion	Credits	Range	Language
101YNUM	Z	2	1P+1C	Czech

Course guarantor:

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 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

	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) roomTH:B-369 19:00–19:50 (lecture parallel1 parallel nr.101) Thákurova 7 (budova FSv)
Tue
Wed
Thu
Fri

The course is a part of the following study plans: