SubjectsSubjects(version: 955)
Course, academic year 2019/2020
Numerical Methods - B413004
Title: Numerické metody
Guaranteed by: Department of Mathematics (413)
Faculty: Faculty of Chemical Engineering
Actual: from 2019 to 2019
Semester: both
Points: 5
E-Credits: 5
Examination process:
Hours per week, examination: 2/2, C+Ex [HT]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
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.
Class: Předměty pro matematiku
Interchangeability : AB413004, N413005
Is interchangeable with: AB413004
Examination dates   Schedule   
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: Fialová Jana (15.01.2018)
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: Fialová Jana (15.01.2018)
Literature -

R: M. Kubíček, M. Dubcová, D. Janovská, Numerical Methods and Algorithms,

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

Last update: Fialová Jana (15.01.2018)
Learning resources -

Last update: Fialová Jana (15.01.2018)
Teaching methods -

Lectures and exercise classes.

Last update: Fialová Jana (15.01.2018)
Syllabus -

1. Interpolation.

2. Interpolation by spline functions.

3. Difference formulas, quadrature formulas.

4. Methods of linear algebra.

5. Systems of nonlinear equations. Newton method.

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

7. Multistep methods. Stability. Error estimation.

8. Stiff systems. A-stable methods.

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

10. Shooting methods.

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

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

13. Methods of lines.

14. Linear regression.

Last update: Dubcová Miroslava (18.09.2020)
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
Účast na přednáškách 1 28
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 1 28
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1 28
4 / 5 112 / 140
Coursework assessment
Form Significance
Regular attendance 10
Examination test 35
Continuous assessment of study performance and course -credit tests 20
Oral examination 35