Sökning: "Alex Hamben"

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  1. 1. Optimising the Choice of Interpolation Nodes with a Forbidden Region

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Felix Bengtsson; Alex Hamben; [2022]
    Nyckelord :Interpolation; Chebyshev; polynomial interpolation; Lebesgue Constant; optimization; numerical methods;

    Sammanfattning : We consider the problem of optimizing the choice of interpolation nodes such that the interpolation error is minimized, given the constraint that none of the nodes may be placed inside a forbidden region. Restricting the problem to using one-dimensional polynomial interpolants, we explore different ways of quantifying the interpolation error; such as the integral of the absolute/squared difference between the interpolated function and the interpolant, or the Lebesgue constant, which compares the interpolant with the best possible approximating polynomial of a given degree. LÄS MER