File(s) under permanent embargo
Estimates of the error in Gauss-Legendre quadrature for double integrals
journal contribution
posted on 2023-05-17, 09:13 authored by David ElliottDavid Elliott, Johnston, PR, Johnston, BMError 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.
History
Publication title
Journal of Computational and Applied MathematicsVolume
236Issue
6Pagination
1552-1561ISSN
0377-0427Department/School
School of Natural SciencesPublisher
Elsevier Science BvPlace of publication
Po Box 211, Amsterdam, Netherlands, 1000 AeRights statement
The definitive version is available at http://www.sciencedirect.comRepository Status
- Restricted