Sökning: "lågdiskrepanstalföljder"

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  1. 1. Discrepancy of sequences and error estimates for the quasi-Monte Carlo method

    Kandidat-uppsats, Karlstads universitet

    Författare :Niklas Vesterinen; [2020]
    Nyckelord :discrepancy; low discrepancy sequences; van der Corput; quasi-Monte Carlo; Koksma inequality; error estimates; diskrepans; lågdiskrepanstalföljder; van der Corput; kvasi-Monte Carlo; Koksmas olikhet; feluppskattningar;

    Sammanfattning : We present the notions of uniform distribution and discrepancy of sequences contained in the unit interval, as well as an important application of discrepancy in numerical integration by way of the quasi-Monte Carlo method. Some fundamental (and other interesting) results with regards to these notions are presented, along with some detalied and instructive examples and comparisons (some of which not often provided by the literature). LÄS MER