Simulation on Rank-1 Lattices

  title={Simulation on Rank-1 Lattices},
  author={Holger Dammertz and A. Keller and Sabrina Dammertz},
Rank-1 lattices are available in any dimension for any number of lattice points and because their generation is so efficient, they often are used in quasi-Monte Carlo methods. Applying the Fourier transform to functions sampled on rank-1 lattice points turns out to be simple and efficient if the number of lattice points is a power of two. Considering the Voronoi diagram of a rank-1 lattice as a partition of the simulation domain and its dual, the Delauney tessellation, as a mesh for display and… CONTINUE READING


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