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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:210

Article; Proceedings Paper

Garrappa, Roberto

关键词: weakly singular integral;    product integration;    geometric mesh;   

DOI  :  10.1016/j.cam.2006.10.064

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free