470-2502/02 – Numerical Methods with Matlab (NMM)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Ing. Dalibor Lukáš, Ph.D.Subject version guarantordoc. Ing. Dalibor Lukáš, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year2Semesterwinter
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER365 doc. Ing. Martin Čermák, Ph.D.
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
MER126 Ing. Michal Merta, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

Advanced concepts towards solution to engineering problems are signal analysis, or numerical solution of differential equations to name a few. In this course, the students get more involved into numerical methods using Matlab.

Teaching methods

Lectures
Tutorials
Project work

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:

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.

Way of continuous check of knowledge in the course of semester

Conditions for credit: Project (minimum 15 points).

E-learning

Další požadavky na studenta

No additional requirements are imposed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Topics: 1. Introduction to Matlab. 2. Data fiting - Lagrange and Chebyshev interpolation, least-square method, polygonal regression, fast Fourier transform. 3. Numerical integration - Newton-Cotes, Gauss-Legendre, and Gauss-Hermite formula. 4. Iterative methods for nonlinear equations - bisection, fixed point iterations, Newton method. 5. Numerical solution of ordinary differential equations - one-step Euler and Crank-Nicholson methods, multi-step Runge-Kutta methods, predictor-corrector, Galerkin, and parareal methods.

Conditions for subject completion

Full-time form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  15
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2649) Electrical Engineering (2612R003) Applied Electronics P English Ostrava 2 Optional study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Optional study plan
2019/2020 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P English Ostrava 2 Optional study plan
2019/2020 (B2649) Electrical Engineering (2612R003) Applied Electronics K English Ostrava 2 Optional study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Optional study plan
2019/2020 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K English Ostrava 2 Optional study plan
2019/2020 (B0714A150002) Control and Information Systems P English Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R003) Applied Electronics P English Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P English Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R003) Applied Electronics K English Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K English Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R003) Applied Electronics P English Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R003) Applied Electronics K English Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P English Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K English Ostrava 2 Optional study plan
2016/2017 (B2649) Electrical Engineering (2612R003) Applied Electronics P English Ostrava 2 Optional study plan
2016/2017 (B2649) Electrical Engineering (2612R003) Applied Electronics K English Ostrava 2 Optional study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Optional study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Optional study plan
2016/2017 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P English Ostrava 2 Optional study plan
2016/2017 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K English Ostrava 2 Optional study plan
2015/2016 (B2649) Electrical Engineering (2612R003) Applied Electronics P English Ostrava 2 Optional study plan
2015/2016 (B2649) Electrical Engineering (2612R003) Applied Electronics K English Ostrava 2 Optional study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Optional study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Optional study plan
2015/2016 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P English Ostrava 2 Optional study plan
2015/2016 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K English Ostrava 2 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
V - ECTS - bc. 2017/2018 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2016/2017 Full-time English Optional 401 - Study Office stu. block