Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423137 | Journal of Computational and Applied Mathematics | 2011 | 10 Pages |
Abstract
Error estimates are a very important aspect of numerical integration. It is desirable to know what level of truncation error might be expected for a given number of integration points. Here, we determine estimates for the truncation error when Gauss-Legendre quadrature is applied to the numerical evaluation of two dimensional integrals which arise in the boundary element method. Two examples are considered; one where the integrand contains poles, when its definition is extended into the complex plane, and another which contains branch points. In both cases we obtain error estimates which agree with the actual error to at least one significant digit.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
David Elliott, Peter R. Johnston, Barbara M. Johnston,