Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509888 | Journal of Computational and Applied Mathematics | 2005 | 14 Pages |
Abstract
To develop point sets on a simplex we will transform the low-discrepancy points from the unit cube to a simplex. An advantage of this approach is that most of the known results on low-discrepancy sequences can be re-used. After introducing several transformations, their efficiency as well as their quality will be evaluated. We present a Koksma-Hlawka inequality which says that under certain conditions the order of convergence using the new point set is the same as that of the original set.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tim Pillards, Ronald Cools,