MU:MU03033 Numerical Analysis - Course Information
MU03033 Numerical Analysis
Mathematical Institute in OpavaSummer 2024
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- prof. Roman Popovych, D. Sc. (lecturer)
RNDr. Petra Nábělková, Ph.D. (seminar tutor) - Guaranteed by
- prof. Roman Popovych, D. Sc.
Mathematical Institute in Opava - Timetable
- Wed 14:45–16:20 R1
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- TYP_STUDIA(BN)
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, N1101)
- Mathematical Analysis (programme MU, N1101)
- Mathematical Modelling (programme MU, NMgr-M)
- Mathematics (programme MU, B1101)
- Course objectives
- This is the sequel to the basic numerical analysis. Aim of this course is to present more advances approaches in numerical methods.
- Syllabus
- 1. Least squares method
Discrete and continuous least squares method, least squares method for orthogonal systems, Gram polynomials, Legender polynomials, Chebyshev polynomials.
2. Approximation of periodic functions
3. Padé approximate
4. Localisation of roots of polynomial
Sturm sequence
5. Numerical differentiation
Richardson extrapolation
6. Numerical methods for differential equations
Euler polygon, Runge-Kutta methods for initial value problems.
- 1. Least squares method
- Literature
- required literature
- A. Ralston, P. Rabinowitz. A First Course in Numerical Analysis. Courier Corporation, 2001. ISBN 048641454X. info
- A. Ralston. Základy numerické matematiky. Praha, 1978. info
- recommended literature
- I. Horová. Numerické metody. Masarykova univerzita v Brně, Brno, 1999. ISBN 80-210-2202-7. info
- J. Segethová. Základy numerické matematiky. Karolinum, Praha, 1998. ISBN 80-7184-596-5. info
- VITÁSEK, E. Numerické metody. SNTL, Praha, 1987. info
- Z. Riečanová a kol. Numerické metody a matematická štatistika. Alfa, Bratislava, 1987. ISBN 063-559-87. info
- Language of instruction
- English
- Further comments (probably available only in Czech)
- Study Materials
The course can also be completed outside the examination period. - Teacher's information
- Student is required to actively attend lectures, successfully solve homework and make an oral presentation on a selected subject to pass the seminars.
The exam is oral where student is required to show the knowledge of the subject, show the understanding of links between various topics. The student should also show the ability to assess which of the various numerical methods is suitable for solving a given problem.
- Enrolment Statistics (recent)
- Permalink: https://is.slu.cz/course/sumu/summer2024/MU03033