ePrints.FRI - University of Ljubljana, Faculty of Computer and Information Science

Software package Chebfun.

Andrej Pangerčič (2014) Software package Chebfun.. EngD thesis.

Download (508Kb)


    Almost every mathematical problem that can not be solved manually due to our limited speed of calculating, ​we need to solve with the computer. We first present the problem in an electronic form and then execute a mathematical operation in a form of an algorithm that runs in real time. Usually we can approximate functions by interpolation with polynomials, because ​the polynoms are the easiest and fastest to compute. A significant drawback of this approach is in that large errors can arise thereby. To overcome this problem we in this thesis investigate Chebyshev series which in practice give a very good approximation for smooth functions. In particular we examine an approximation implemented in the open source software tool Chebfun. ​At the end we present a couple of examples used commonly in problem solving with the computer and solve them with the software tool.

    Item Type: Thesis (EngD thesis)
    Keywords: polynom, approximation, interpolation, Chebyshev series, Matlab, Chebfun.
    Number of Pages: 37
    Language of Content: Slovenian
    Mentor / Comentors:
    Name and SurnameIDFunction
    prof. dr. Gašper JakličMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=51012&select=(ID=1536142787 )
    Institution: University of Ljubljana
    Department: Faculty of Computer and Information Science
    Item ID: 2755
    Date Deposited: 22 Sep 2014 16:32
    Last Modified: 08 Jan 2015 10:39
    URI: http://eprints.fri.uni-lj.si/id/eprint/2755

    Actions (login required)

    View Item