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

✍ Scribed by Roberto Garrappa

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
190 KB
Volume
210
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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We present an algorithm computing the product of two square matrices in the de Bruijn network by using emulation: the algorithm is based on a [(d -1)/2]-embedding of meshes of d-ary trees into de Bruijn graphs and also on a mapping of particular trees.