A Hybrid Subdivision Strategy for Adaptive Integration Routines

Ronald Cools (Katholieke Universiteit Leuven, Belgium)

Bart Maerten (Katholieke Universiteit Leuven, Belgium)

Abstract: In this paper we propose a modification of a part of the global adaptive integration algorithm that is usually taken for granted: the subdivision strategy. We introduce a subdivision strategy where the routine decides whether it is best to divide a hyper-rectangular region or a n-simplex in 2 or 2ⁿ parts or something in between.

Keywords: adaptive integration software, cubature, quadrature

Categories: G.1, G.4