Seminar to Mathematics 3

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Numerical solution of differential equations, contributing to the content of MA3 course. Finite difference method, Gauss quadrature, eigenvalue computation. Coding in Matlab.

Requirements:

Active participating at lectures and exercises. Homework and seminar work or presentation.

Syllabus of lectures:

1) Ordinary differential equation of the first order. Euler and Runge-Kutta methods.

2) Systems of DEs.

3) Nonlinear roblems.

4) Boundary value problems.

5) Finite difference method.

6) Eigenvalues of DE.

7) Weak formulation of DE.

8) Finite element method.

9) FEM in 2D.

10) Numerical quadrature.

11) Discrete Fourier transform.

Syllabus of tutorials:

Practising of problems presented during lectures. Coding. Solving individual projects.

Study Objective:

Improvement of the studets' skill in numerical solution of ordinary differential equations.

Study materials:

O. Zindulka, Matematika 3, Nakladatelství ČVUT, 2007

J. Novák, I. Pultarová, P. Novák, Základy informatiky Počítačové modelování v MATLABu, Vydavatelství ČVUT, Praha 2005

Note:

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Further information:

https://mat.fsv.cvut.cz/vyuka/volitelne/zs#XSM3

No time-table has been prepared for this course

The course is a part of the following study plans: