Numerical Methods - AB413004
Title: Numerical Methods
Guaranteed by: Department of Mathematics, Informatics and Cybernetics (446)
Faculty: Faculty of Chemical Engineering
Actual: from 2023
Semester: both
Points: 5
E-Credits: 5
Examination process:
Hours per week, examination: 2/2, C+Ex [HT]
Capacity: winter:23 / 13 (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
Language: English
Teaching methods: full-time
Teaching methods: full-time
Level:  
For type: Bachelor's
Additional information: http://předmět je vyučován pouze v zimním semestru
Note: course can be enrolled in outside the study plan
enabled for web enrollment
you can enroll for the course in winter and in summer semester
Guarantor: Dubcová Miroslava RNDr. Ph.D.
Červená Lenka RNDr. Ph.D.
Interchangeability : B413004, N413005
Is interchangeable with: B413004
Examination dates   
This subject contains the following additional online materials
Annotation -
The course deals with methods for approximation of functions, derivatives and integrals, with methods for solving linear and nonlinear algebraic equations, with methods for solving ordinary/partial differential equations with initial/boundary conditions, and with methods for experimental data evaluation. By learning these numerical methods students will gain insight into problem formulation and develop the ability to derive a problem solution and estimate its accuracy.
Last update: Kubová Petra (22.01.2018)
Aim of the course -

Students will be able to formulate mathematical models using algebraic or differential equations. They will gain an overview of the commonly used numerical methods and they will learn how to determine the accuracy of numerical solutions.

Last update: Kubová Petra (22.01.2018)
Literature -

R: M. Kubíček, M. Dubcová, D. Janovská, Numerical Methods and Algorithms, http://www.vscht.cz/mat/Ang/NM-Ang/NM-Ang.pdf

A: J. F. Epperson: An Introduction to Numerical Methods and Analysis,Wiley, New York, 2002, ISBN 0-471-31647-4

Last update: Kubová Petra (22.01.2018)
Learning resources -

http://www.vscht.cz/mat/Ang/NM-Ang/e_nm_semin.html

http://www.vscht.cz/mat/Ang/NM-Ang/NM-Ang.pdf

Last update: Kubová Petra (22.01.2018)
Teaching methods -

Lectures and exercise classes.

Last update: Kubová Petra (22.01.2018)
Syllabus -

1. Interpolation, interpolation by spline functions.

2. Difference formulas, quadrature formulas.

3. Methods of linear algebra.

4. Systems of nonlinear equations. Newton method.

5. Initial value problem for ODE´s. One-step methods.

6. Multistep methods. Stability. Error estimation.

7. Stiff systems. A-stable methods.

8. Boundary value problem for ODE´s. Finite-difference methods.

9. Shooting methods.

10. Finite-difference methods for linear PDE´s of parabolic type.

11. Finite-difference methods for nonlinear PDE´s of parabolic type.

12. Methods of lines.

13. Finite-difference methods for PDE´s of elliptic type.

14. Linear regression.

Last update: Kubová Petra (22.01.2018)
Entry requirements -

Students are expected to have either completed the prerequisite course Mathematics B or possess the equivalent knowledge prior to enrolling in the course.

Last update: Borská Lucie (13.05.2019)
Registration requirements -

Mathematics A

Last update: Borská Lucie (06.05.2019)
Course completion requirements -

individual project - assesment, written exam, oral exam

Last update: Dubcová Miroslava (16.02.2018)
Teaching methods
Activity Credits Hours
Konzultace s vyučujícími 0.5 14
Účast na přednáškách 1 28
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 1 28
Příprava na zkoušku a její absolvování 1.5 42
Účast na seminářích 1 28
5 / 5 140 / 140