Component-by-component construction of good lattice rules with a composite number of points
Results and algorithms of \textit{I. H. Sloan}, \textit{F. Y. Kuo} and \textit{S. Joe} [Math. Comput. 71, No. 240, 1609-1640 (2002; Zbl 1011.65001)] and of \textit{I. H. Sloan} and \textit{A. V. Reztsov} [Math. Comput. 71, No. 237, 263-273 (2002; Zbl 0985.65018)] are extended to lattice rules with composite number of quadrature points. In both weighted Korobov and weighted Sobolev spaces strong tractability is achieved. Numerical results show that the quasi-Monte Carlo rules so constructed are almost as good as rules with prime number of points.
scientific article; zbMATH DE number 1910728