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      Good intermediate-rank lattice rules based on the weighted star discrepancy

      Sinescu, Vasile; Joe, Stephen
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      Good intermediate-rank lattice.pdf
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      DOI
       10.1142/9789812708229_0028
      Link
       eproceedings.worldscinet.com
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      Sinescu, V. & Joe, S. (2006). Good intermediate-rank lattice rules based on the weighted star discrepancy. In O. Carja & I.I. Vrabie (Eds), Applied Analysis and Differential Equations (pp. 329-342). World Scientific.
      Permanent Research Commons link: https://hdl.handle.net/10289/2002
      Abstract
      We study the problem of constructing good intermediate-rank lattice rules in the sense of having a low weighted star discrepancy. The intermediate-rank rules considered here are obtained by “copying” rank-1 lattice rules. We show that such rules can be constructed using a component-by-component technique and prove that the bound for the weighted star discrepancy achieves the optimal convergence rate.
      Date
      2006
      Type
      Chapter in Book
      Publisher
      World Scientific
      Rights
      This is an author’s version of a paper published in the book: Applied Analysis and Differential Equations. ©2006 World Scientific.
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      • Computing and Mathematical Sciences Papers [1452]
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