Frolov cubature points in [0,1]d
The table below allows to download the Frolov cubature points for dimensions between 2 and 10 and points numbers up to 1.000.000.
- The points can be downloaded and saved via right-click -> save to..
- Each file contains approximately N=2level points.
- The text-files follow the format:
# Comments
{dimension} d
{number of points} N
{integration weight} w
{x_1} {x_2} ... {x_d}
- A zip archieve with all files for level 1..20 and dimension 2..10 can be downloaded here (about 110 MB).
- For reference, please cite
C. Kacwin, J. Oettershagen, M. Ullrich and T. Ullrich.
Numerical performance of optimized Frolov lattices in tensor product
reproducing kernel Sobolev spaces. ArXiv e-prints, 2017. [pdf]
- If larger point numbers or dimensionalities are needed please contact one of the authors.
Software examples