- Title
- Effective bounds in Euler-Maclaurin-based quadrature: (summary for HPCS06)
- Creator
- Bailey, David H.; Borwein, Jonathan M.
- Relation
- 20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment, 2006 (HPCS'06). Proceedings of the 20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment, 2006 (HPCS'06) (St. John's, Canada 14-17 May, 2006)
- Publisher Link
- http://dx.doi.org/10.1109/HPCS.2006.22
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2006
- Description
- We analyze the behavior of Euler-Maclaurin-based integration schemes with the intention of deriving accurate and economic estimations of the error. These schemes typically provide very high-precision results (hundreds or thousands of digits), in reasonable run time, even in cases where the integrand function has a blow-up singularity or infinite derivative at an endpoint. Heretofore, researchers using these schemes have relied mostly on ad hoc error estimation schemes to project the estimated error of the present iteration. In this paper, we seek to develop some more rigorous, yet highly usable schemes to estimate these errors.
- Subject
- Euler Maclaurin based integration; errors; experimental mathematics; integers
- Identifier
- http://hdl.handle.net/1959.13/1038493
- Identifier
- uon:13549
- Identifier
- ISBN:0769525822
- Identifier
- ISSN:1550-5243
- Rights
- Copyright ©2006 IEEE. Reprinted from Proceedings of the 20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment, 2006 (HPCS'06). This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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