SINGINT: Automatic numerical integration of singular integrands

Abstract We explore the combination of deterministic and Monte Carlo methods to facilitate efficient automatic numerical computation of multidimensional integrals with singular integrands. Two adaptive algorithms are presented that employ recursion and are runtime and memory optimized, respectively. SINGINT, a C implementation of the algorithms, is introduced and its utilization in the calculation of particle scattering amplitudes is exemplified. Title of program: SINGINT Catalogue Id: ADRQ_v1_0 Nature of problem Efficient, robust and automatic numerical computation of multidimensional integrals with singular integrands, for example occurring in the calculation of particle scattering amplitudes in perturbative field theory. Versions of this program held in the CPC repository in Mendeley Data ADRQ_v1_0; SINGINT; 10.1016/S0010-4655(03)00160-7 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)