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)