457-0518/01 – Numerical methods (NM)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Mgr. Vít Vondrák, Ph.D.Subject version guarantordoc. Mgr. Vít Vondrák, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semesterwinter
Study languageCzech
Year of introduction2003/2004Year of cancellation2009/2010
Intended for the facultiesFEIIntended for study typesBachelor
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The main aim of the course is to introduce the basic numerical algorithms to students. Students should be able to solve engineering problems using apropriate numerical method.Theoretical knowledge represented by error analysis and analysis of stability should help to select appropriate method from wide range of commercial and noncommercial libraries or to implement a new method.

Teaching methods

Lectures
Tutorials

Summary

Subject of lectures is description of basic numerical methods which are used for solution of problems in engineering.

Compulsory literature:

Quarteroni A., Sacco R., Saleri F.: Numerical mathematics, Springer, 2007 Press, W.H., Flannery, B.P., Teukolski, S.A., Vetterling, W.T.: Numerical Recipes in C. Cambridge University Press, Cambridge 1990.

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject codeAbbreviationTitleRequirement
457-0510 LA1 Linear Algebra Recommended
457-0511 MA 1 Mathematical Analysis I Recommended
457-0512 MA2 Mathematical analysis II Recommended
457-0525 LAIT Linear Algebra for IT Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Chyby v numerických výpočtech 2. Řešení soustav nelineárních rovnic: věta o pevném bodě, Newtonova metoda 3. Iterační řešení soustav lineárních rovnic 4. Hledání vlastních čísel a vlastních vektorů matic 5. Interpolace: polynomiální, trigonometrická, splajny 6. Aproximace: metoda nejmenších čtverců, Čebyševova 7. Numerická derivace a kvadratura 8. Numerické řešení počátečních úloh pro obyčejné diferenciální rovnice

Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2004/2005 (B2646) Information Technology (1103R021) Computation Mathematics P Czech Ostrava 3 Compulsory study plan
2004/2005 (B2646) Information Technology (1103R021) Computation Mathematics K Czech Ostrava 3 Compulsory study plan
2003/2004 (B2646) Information Technology (1103R021) Computation Mathematics P Czech Ostrava 3 Compulsory study plan
2003/2004 (N2646) Information Technology (1103T021) Computational Mathematics P Czech Ostrava 1 Compulsory study plan
2003/2004 (B2646) Information Technology (1103R021) Computation Mathematics K Czech Ostrava 3 Compulsory study plan
2003/2004 (N2646) Information Technology (1103T021) Computational Mathematics K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner