Alkalmazott numerikus módszerek Matlabbal (BMETE92AM54/A0 - 2019/20/2)

Kurzus típus: 
Elmélet
Nyelv: 
angol
Félév: 
2019/20/2
Órarendi információ: 

Cs 12:15-14:00 (H207) lecture
Cs 14:15-15:45 (H207) computer lab

Applied Numerical Methods with Matlab (BMETE92AM54)

Timetable information: Thursdays 12-16 (lecture and computer lab), room: H207.

Course requirements: Applied Numerical Methods with Matlab TE92AM54 2020.pdf

News 

Main material for the course

Auxilary material for the course

The schedule of the lectures and computer labs, homework assignments:


Week  Lecture and computer lab (Th. 12-16)
1. 13/02 

The requirements of the course. The topics of the course. Model construction and its necessity. Vector and matrix norms, special matrices, spectral radius, relations between norms and eigenvalues.
Problems: 1-5,8,12-13.
There is no homework for this week.

2. 20/02

Convergence speed of sequences. Floating point numbers and their properties.  Conrad Zuse - Computer history (video).  Conditioning of SLAEs, condition numbers of matrices.
Problems: 14-16, 19-21, 23.
Homework for week 2

3. 27/02

Solution of SLAEs with direct methods, Gaussian method and its investigation. LU decomposition. Performance of the Gaussian method. Pivoting. Cholesky decomposition.
Problems: 24-25, 27-28, 30, 32-34.
Homework for week 3 

4. 05/03

Iteration methods for SLAEs. Necessary and sufficient condition for the convergence. Error estimation with the Banach fixed point theorem. Classical iterative methods (Jacobi, Gauss-Seidel and their relaxed versions) and their convergence.
Problems: Jacobi method, convergence check, error estimation, 37.
Homework for week 4

5. 12/03

Householder reflection, QR decomposition. Givens rotation and QR decomposition with Givens rotations. Solution of over-determined systems.
Problems: 38-42.
Lecture notes for week 5: mlx (LiveScript) and pdf version. We will test the learning management system Office Teams on 19 March (Thursday) at 12:15. You will have also possibility to ask questions regarding the topic of week 5. Please create your @edu.bme.hu account as soon as possible. You should follow the instructions sent via the Neptun system.
Homework for week 5 (due to 22 March)

6. 26/03

From this week we will use Office Teams to organize the course in an online form. 

Previous midterm tests of my course numerical methods for physicists 

Useful links