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. (C) 2006 Elsevier B.V. All rights reserved.
The use of geometric meshes in product integration Simpson's rules
GARRAPPA, Roberto
2007-01-01
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. (C) 2006 Elsevier B.V. All rights reserved.File in questo prodotto:
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