714-0926 – Interpolation and Approximation of Functions (IaAF)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantordoc. RNDr. Pavel Kreml, CSc.
Study levelpostgraduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0926/00 1998/1999 1998/1999
714-0926/01 1997/1998 2012/2013 10
714-0926/02 2013/2014 2019/2020 10
714-0926/03 2015/2016 2019/2020 10

Subject aims expressed by acquired skills and competences

Main study goals: (i) to be acquainted with actual progress in this mathematical discipline, (ii) to extend needed theoretical knowledge with emphasized orientation to its applica-bility, (iii) to increase communication ability of specialists in different branches. With regard to professional orientation of students learning themes modification is offered to fulfill presented aims.

Teaching methods

Seminars
Individual consultations
Other activities

Summary

These lectures deal with methods for constructing approximating functions for any set of data by using polynomial interpolation, least-squares approximation and Chebyshev approximation. There are compared several ways of doing interpolation and there are contrasted these procedures with several ways for fitting imprecise data and for drawing smooth curves. It is shown how can help symbolic algebra computer algebra programs in obtaining interpolating and least-squares polynomials.

Compulsory literature:

Gerald,F.-Wheatley,P.: Applied Numerical Analysis. Addison Wesley 1994. Stoer,J. - Bulirsch,R.: Introduction to Numerical Analysis. Springer-Verlag, New York 1993. Boháč, Zdeněk: Numerical Methods and Statistics, VŠB – TUO, Ostrava 2005, ISBN 80-248-0803-X

Recommended literature:

http://www.studopory.vsb.cz http://mdg.vsb.cz

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.