The use of geometric meshes in product integration Simpson's rules

  • Authors:

  • Roberto Garrappa

  • Affiliations:

  • Dip. di Matematica, Universití di Bari, Via Orabona, 4, 70125 Bari, Italy

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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Abstract

This paper concerns with the use of geometric meshes in product integration Simpson's rules for the numerical evaluation of weakly singular weighted integrals. We provide a criterion for selecting the mesh in order to achieve a desired accuracy with a low amount of computation. Numerical experiments indicate a reduction in computational costs with respect to the same rules with uniform meshes.