Algorithm 906
Tiancheng Li, Ian C.A.F. Robinson · ACM Transactions on Mathematical Software · 2010
A three-dimensional automatic cubature routine, calledelrint3d, is described and numerical results are presented that demonstrate its applicability across a wide range of domains and integrand types. The underlying algorithm is based on a 2s-copy lattice augmentation sequence, the seed lattice for which has been determined by exhaustive search based on optimization of index of merit and trigonometric degree of precision.