470-6504/02 – Numerical Methods (NM)

Gurantor departmentDepartment of Applied MathematicsCredits10
Subject guarantordoc. Ing. Dalibor Lukáš, Ph.D.Subject version guarantordoc. Ing. Dalibor Lukáš, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesHGF, FS, FAST, USP, FEIIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 28+0
Part-time Examination 28+0

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

Summary

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

Compulsory literature:

- A. Quarteroni, R. Sacco, F. Saleri, Numerical Mathematics. Springer, 2007.

Recommended literature:

- W.H. Press, B.P. Flannery, S.A. Teukolski, W.T. Vetterling, Numerical Recipes in C. Cambridge University Press, 1990.

Way of continuous check of knowledge in the course of semester

project, oral exam

E-learning

Other requirements

There are not defined other requirements for student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Errors in numerical computations Solution of non-linear equations: fixed point theorem, Newton method Iterative solution of systems of linear equations Eigenvalues and eigenvectors Interpolation: polynomial, trigonometric, spline Approximation:least square method, Tchebyshev method Numerical differentiation and quadrature Numerical solution of initial value problem for ordinary differential equations

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 pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

Show history

Conditions for subject completion and attendance at the exercises within ISP:

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (P0714D150002) Cybernetics P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0714D150002) Cybernetics K English Ostrava Choice-compulsory type B study plan
2024/2025 (P0719D270006) Transport and Material Handling P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0719D270006) Transport and Material Handling K English Ostrava Choice-compulsory type B study plan
2024/2025 (P0533D110006) Applied Physics P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0533D110006) Applied Physics K English Ostrava Choice-compulsory type B study plan
2024/2025 (P0541D170006) Computational and Applied Mathematics K English Ostrava Choice-compulsory type B study plan
2024/2025 (P0541D170006) Computational and Applied Mathematics P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0613D140006) Computer Science K English Ostrava Choice-compulsory type B study plan
2024/2025 (P0613D140006) Computer Science P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0613D140021) Computational Science P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0613D140021) Computational Science K English Ostrava Choice-compulsory type B study plan
2024/2025 (P0613D140033) Informatics and Computational Science K English Ostrava Choice-compulsory type B study plan
2024/2025 (P0613D140033) Informatics and Computational Science P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0713D060001) Electrical Engineering Science P English Ostrava Choice-compulsory type B study plan
2024/2025 (P0713D060001) Electrical Engineering Science K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0714D150002) Cybernetics K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0714D150002) Cybernetics P English Ostrava Choice-compulsory type B study plan
2023/2024 (P0533D110006) Applied Physics K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0533D110006) Applied Physics P English Ostrava Choice-compulsory type B study plan
2023/2024 (P0713D060001) Electrical Engineering Science K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0713D060001) Electrical Engineering Science P English Ostrava Choice-compulsory type B study plan
2023/2024 (P0613D140021) Computational Science P English Ostrava Choice-compulsory type B study plan
2023/2024 (P0613D140021) Computational Science K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0613D140033) Informatics and Computational Science K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0613D140033) Informatics and Computational Science P English Ostrava Choice-compulsory type B study plan
2023/2024 (P0541D170006) Computational and Applied Mathematics K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0541D170006) Computational and Applied Mathematics P English Ostrava Choice-compulsory type B study plan
2023/2024 (P0613D140006) Computer Science K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0613D140006) Computer Science P English Ostrava Choice-compulsory type B study plan
2023/2024 (P0719D270006) Transport and Material Handling K English Ostrava Choice-compulsory type B study plan
2023/2024 (P0719D270006) Transport and Material Handling P English Ostrava Choice-compulsory type B study plan
2023/2024 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2023/2024 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2023/2024 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2023/2024 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2022/2023 (P0533D110006) Applied Physics P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0533D110006) Applied Physics K English Ostrava Choice-compulsory type B study plan
2022/2023 (P0714D150002) Cybernetics P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0714D150002) Cybernetics K English Ostrava Choice-compulsory type B study plan
2022/2023 (P0713D060001) Electrical Engineering Science P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0713D060001) Electrical Engineering Science K English Ostrava Choice-compulsory type B study plan
2022/2023 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2022/2023 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2022/2023 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2022/2023 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2022/2023 (P0719D270006) Transport and Material Handling P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0719D270006) Transport and Material Handling K English Ostrava Choice-compulsory type B study plan
2022/2023 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2022/2023 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan
2022/2023 (P0613D140006) Computer Science P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0613D140006) Computer Science K English Ostrava Choice-compulsory type B study plan
2022/2023 (P0541D170006) Computational and Applied Mathematics K English Ostrava Choice-compulsory type B study plan
2022/2023 (P0541D170006) Computational and Applied Mathematics P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0613D140021) Computational Science P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0613D140021) Computational Science K English Ostrava Choice-compulsory type B study plan
2022/2023 (P0613D140033) Informatics and Computational Science P English Ostrava Choice-compulsory type B study plan
2022/2023 (P0613D140033) Informatics and Computational Science K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0719D270006) Transport and Material Handling K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0719D270006) Transport and Material Handling P English Ostrava Choice-compulsory type B study plan
2021/2022 (P0533D110006) Applied Physics P English Ostrava Choice-compulsory type B study plan
2021/2022 (P0533D110006) Applied Physics K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0713D060001) Electrical Engineering Science K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0713D060001) Electrical Engineering Science P English Ostrava Choice-compulsory type B study plan
2021/2022 (P0613D140021) Computational Science P English Ostrava Choice-compulsory type B study plan
2021/2022 (P0613D140021) Computational Science K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0541D170006) Computational and Applied Mathematics P English Ostrava Choice-compulsory type B study plan
2021/2022 (P0541D170006) Computational and Applied Mathematics K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0613D140006) Computer Science K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0613D140006) Computer Science P English Ostrava Choice-compulsory type B study plan
2021/2022 (P0714D150002) Cybernetics K English Ostrava Choice-compulsory type B study plan
2021/2022 (P0714D150002) Cybernetics P English Ostrava Choice-compulsory type B study plan
2021/2022 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2021/2022 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2021/2022 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2021/2022 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2021/2022 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2021/2022 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan
2020/2021 (P0533D110006) Applied Physics K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0533D110006) Applied Physics P English Ostrava Choice-compulsory type B study plan
2020/2021 (P0541D170006) Computational and Applied Mathematics P English Ostrava Choice-compulsory type B study plan
2020/2021 (P0541D170006) Computational and Applied Mathematics K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0613D140006) Computer Science P English Ostrava Choice-compulsory type B study plan
2020/2021 (P0613D140006) Computer Science K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0613D140021) Computational Science K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0613D140021) Computational Science P English Ostrava Choice-compulsory type B study plan
2020/2021 (P0713D060001) Electrical Engineering Science K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0713D060001) Electrical Engineering Science P English Ostrava Choice-compulsory type B study plan
2020/2021 (P0714D150002) Cybernetics K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0714D150002) Cybernetics P English Ostrava Choice-compulsory type B study plan
2020/2021 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2020/2021 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2020/2021 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2020/2021 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2020/2021 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2020/2021 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan
2020/2021 (P3655) Civil Engineering (3607V012) Municipal Engineering and Construction K English Ostrava Choice-compulsory study plan
2020/2021 (P3655) Civil Engineering (3607V012) Municipal Engineering and Construction P English Ostrava Choice-compulsory study plan
2020/2021 (P0719D270006) Transport and Material Handling P English Ostrava Choice-compulsory type B study plan
2020/2021 (P0719D270006) Transport and Material Handling K English Ostrava Choice-compulsory type B study plan
2019/2020 (P0533D110006) Applied Physics P English Ostrava Choice-compulsory type B study plan
2019/2020 (P0713D060001) Electrical Engineering Science P English Ostrava Choice-compulsory type B study plan
2019/2020 (P0613D140006) Computer Science P English Ostrava Choice-compulsory type B study plan
2019/2020 (P0714D150002) Cybernetics P English Ostrava Choice-compulsory type B study plan
2019/2020 (P0541D170006) Computational and Applied Mathematics P English Ostrava Choice-compulsory type B study plan
2019/2020 (P0533D110006) Applied Physics K English Ostrava Choice-compulsory type B study plan
2019/2020 (P0541D170006) Computational and Applied Mathematics K English Ostrava Choice-compulsory type B study plan
2019/2020 (P0713D060001) Electrical Engineering Science K English Ostrava Choice-compulsory type B study plan
2019/2020 (P0613D140006) Computer Science K English Ostrava Choice-compulsory type B study plan
2019/2020 (P0714D150002) Cybernetics K English Ostrava Choice-compulsory type B study plan
2019/2020 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2019/2020 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2019/2020 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2019/2020 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2019/2020 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2019/2020 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan
2019/2020 (P0613D140021) Computational Science P English Ostrava Choice-compulsory type B study plan
2019/2020 (P0613D140021) Computational Science K English Ostrava Choice-compulsory type B study plan
2018/2019 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2018/2019 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2018/2019 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2018/2019 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2018/2019 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2018/2019 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan
2018/2019 (P3655) Civil Engineering (3607V012) Municipal Engineering and Construction K English Ostrava Choice-compulsory study plan
2018/2019 (P3655) Civil Engineering (3607V012) Municipal Engineering and Construction P English Ostrava Choice-compulsory study plan
2017/2018 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2017/2018 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2017/2018 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2017/2018 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2017/2018 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2017/2018 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan
2017/2018 (P3655) Civil Engineering (3607V012) Municipal Engineering and Construction K English Ostrava Choice-compulsory study plan
2017/2018 (P3655) Civil Engineering (3607V012) Municipal Engineering and Construction P English Ostrava Choice-compulsory study plan
2016/2017 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2016/2017 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2016/2017 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2016/2017 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2016/2017 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2016/2017 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan
2015/2016 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P English Ostrava Choice-compulsory study plan
2015/2016 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics K English Ostrava Choice-compulsory study plan
2015/2016 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics P English Ostrava Choice-compulsory study plan
2015/2016 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K English Ostrava Choice-compulsory study plan
2015/2016 (P2658) Computational Sciences (2612V078) Computational Sciences P English Ostrava Choice-compulsory study plan
2015/2016 (P2658) Computational Sciences (2612V078) Computational Sciences K English Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.