MU03033 Numerical Analysis

Mathematical Institute in Opava
Summer 2023
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. Roman Popovych, D.Sc. (lecturer)
Mgr. Pavel Holba (seminar tutor)
Guaranteed by
doc. RNDr. Michal Málek, Ph.D.
Mathematical Institute in Opava
Timetable
Thu 11:25–13:00 116
  • Timetable of Seminar Groups:
MU03033/01: Tue 8:55–10:30 LVT1, P. Holba
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
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.
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.
The course is also listed under the following terms Summer 1998, Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021, Summer 2024.
  • Enrolment Statistics (Summer 2023, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2023/MU03033