MU03033 Numerical Analysis

Mathematical Institute in Opava
Summer 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Petra Nábělková, Ph.D. (lecturer)
RNDr. Oldřich Stolín, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Michal Málek, Ph.D.
Mathematical Institute in Opava
Timetable
Mon 9:45–11:20 R1
  • Timetable of Seminar Groups:
MU03033/01: Wed 15:35–17:10 RZ, O. Stolín
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 (in Czech)
Cílem výuky tohoto předmětu je seznámit studenty se základními numerickými přístupy k řešení problémů, se kterými se již dříve setkali v matematické analýze a algebře.
Syllabus
  • 1. Approximation (choosing the class of approximating functions, least squares method, orthogonal polynomials, trigonometric polynomial approximation).
    2. Sturm sequence (localization of real roots of a polynomial, Sturm sequence).
    3. Numerical differentiation (numerical differentiation, Richardson's extrapolation).
    4. Numerical methods for differential equations (solving initial value problems for ordinary differential equations, power series solutions, Picard approximations, Euler polygon, Runge-Kutta methods, order of a method).
Literature
    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
  • A. Ralston. Základy numerické matematiky. Praha, 1978. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
The examination consists of a written and of an oral part.
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 2021, Summer 2023, Summer 2024.
  • Enrolment Statistics (Summer 2020, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2020/MU03033