Applied Mathematics and Numerical Methods

Garant předmětu:

Petr Kučera

Lecturer:

Petr Kučera

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Selected parts of numerical methods of algebra and selected parts of mathematical analysis and numerical methods of analysis. Some numerical methods for solving systems of linear algebraic functions. Ordinary and partial differential equations and numerical solution of ordinary differential equations with initial and boundary conditions. Partial differential equations, especially elliptic and evolutionary equations. Numerical solution of partial differential equations of elliptic, parabolic and hyperbolic type, especially net method and variational methods. Integral equations and numerical methods of their solution, selected parts of computer graphics and integral transformation

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

Povinná literatura:

[1] Rektorys K.: Survey of Applicable Mathematics, Vol. I, II.

[2] Press, W. H. et al.: Numerical Recipes (3rd Edition). Cambridge University Press, Cambridge, United Kingdom, 2007.

[3] Quarteroni, A. – Sacco, A. – Saleri, F: Numerical Matemathics. Springer-Verlag Berlin Heidelberg, 2007. ISBN 978-3-642-07101-0.

Doporučená literatura:

[4] Chaskalovic, J.: Mathematical and Numerical Methods for Partial Differential Equations, Springer International Publishing, 2014, ISBN 978-3-319-03562-8.

[5] Pinelas, S., Došlá, Z., Došlý, O., Kloeden, P. E.: Differential and Difference Equations with Applications. Springer International Publishing, 2016. ISBN 978-3-319-32855-3

Note:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans: