Parallel Quasi-Monte Carlo Integration Using (t, s)-Sequences

  • Authors:
  • Wolfgang Ch. Schmid;Andreas Uhl

  • Affiliations:
  • -;-

  • Venue:
  • ParNum '99 Proceedings of the 4th International ACPC Conference Including Special Tracks on Parallel Numerics and Parallel Computing in Image Processing, Video Processing, and Multimedia: Parallel Computation
  • Year:
  • 1999

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Abstract

Currently, the most effective constructions of low-discrepancy point sets and sequences are based on the theory of (t, m, s)-nets and (t, s)-sequences. In this work we discuss parallelization techniques for quasi-Monte Carlo integration using (t, s)-sequences. We show that leapfrog parallelization may be very dangerous whereas block-based parallelization turns out to be robust.