SINGINT: Automatic numerical integration of singular integrands

Details SINGINT: Automatic numerical integration of singular integrands SINGINT: Automatic numerical integration of singular integrands

2002-10-30

arxiv.org/abs/physics/0210127v1

Comput.Phys.Commun. 153 (2003) 233-243

Physics

Computational Physics

15 pages, 1 figure

Scientific paper

10.1016/S0010-4655(03)00160-7

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 optimised, respectively. SINGINT, a C implementation of the algorithms, is introduced and its utilisation in the calculation of particle scattering amplitudes is exemplified.

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