Numerical Methods

Garant předmětu:

Lecturer:

Tutor:

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

No time-table has been prepared for this course

The course is a part of the following study plans:

• Stavební Inženýrství - konstrukce a dopravní stavby, specializace Inženýrské konstrukce (compulsory elective course)
• Stavební Inženýrství - konstrukce a dopravní stavby, specializace Dopravní stavby a geotechnika (compulsory elective course)
• Stavební inženýrství - pozemní stavby, specializace Projektování pozemních staveb (compulsory elective course)
• Stavební inženýrství - pozemní stavby, specializace Statika pozemních staveb (compulsory elective course)