English

SINGINT: Automatic numerical integration of singular integrands

Computational Physics 2009-11-07 v1

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

Keywords

Cite

@article{arxiv.physics/0210127,
  title  = {SINGINT: Automatic numerical integration of singular integrands},
  author = {N. Kauer},
  journal= {arXiv preprint arXiv:physics/0210127},
  year   = {2009}
}

Comments

15 pages, 1 figure