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Extension of van der Corput algorithm to LS-sequences

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  • Carbone, Ingrid

Abstract

The LS-sequences of points recently introduced by the author are a generalization of van der Corput sequences. They are constructed by reordering the points of the corresponding LS-sequences of partitions. Here we present another algorithm which is simpler to compute than the original construction and coincides with the classical one for van der Corput sequences. This algorithm is based on the representation of natural numbers in base L+S. Moreover, when S⩽L these sequences have low discrepancy and can be useful in Quasi Monte-Carlo methods.

Suggested Citation

  • Carbone, Ingrid, 2015. "Extension of van der Corput algorithm to LS-sequences," Applied Mathematics and Computation, Elsevier, vol. 255(C), pages 207-213.
    • Handle: RePEc:eee:apmaco:v:255:y:2015:i:c:p:207-213
    DOI: 10.1016/j.amc.2014.08.063
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    References listed on IDEAS

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    1. Ninomiya, Syoiti, 1998. "Constructing a new class of low-discrepancy sequences by using the β-adic transformation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 47(2), pages 403-418.
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    Cited by:

    1. Engao Tang & Jian Zhang & Anlong Xia & Yi Jin & Lezhong Li & Jinju Chen & Biqin Hu & Xiaofei Sun, 2024. "Infill Well Placement Optimization for Polymer Flooding in Offshore Oil Reservoirs via an Improved Archimedes Optimization Algorithm with a Halton Sequence," Energies, MDPI, vol. 17(22), pages 1-18, November.

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