A theoretical basis for the computation of good lattice points
by
Andrei Reztsov
School of Mathematics, UNSW
Coauthors: I. Sloan (School of Mathematics, UNSW)

Lattice rules are known to have good properties for the evaluation of integrals of periodic functions over s-dimensional unit cube, in the sence that there are vice existance theorems asserting the existence of lattice rules which integrate with high accuracy all functions with specific decay of their Fourier coefficients. We present a new theoretical results for the good lattice rules, which allows good lattice rules to be constructed without extensive search.

Date received: December 13, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadl-28.