Standard Product Weights
Product weights with $\beta_j=\theta j^{-\zeta}$.
These QMC rules can achieve an order of convergence higher than one for functions fulfilling suitable derivative bounds, independent of the dimension. For more information, see [Dick et al. 2014] for the theoretical development and [Gantner and Schwab 2014] for some computational results. For a more complete list of relevant references, see the Literature page.
For a specification of the format of the generating vector files, see the format page. Generating vectors are available for up to $s=256$ dimensions and $N=2^{15}$ points. If you require more dimensions and/or points, please contact us. If you experience any problems applying these generating vectors, please do not hesitate to contact us.
Product weights with $\beta_j=\theta j^{-\zeta}$.
SPOD weights with $\beta_j=\theta j^{-\zeta}$.
SPOD weights for 2d KL expansion in a square domain.
List of relevant literature.
Documentation of generating vector file format.