714-0926/00 – Interpolation and Approximation of Functions (IaAF)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits
Subject guarantordoc. RNDr. Pavel Kreml, CSc.Subject version guarantorFiktivní Uživatel
Study levelpostgraduate
Study languageCzech
Year of introduction1998/1999Year of cancellation1998/1999
Intended for the facultiesIntended for study types

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

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

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Assessment of instruction

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