A Comparison of three high-precision quadrature schemes [electronic resource].
- Washington, D.C. : United States. Department of Energy. Office of Advanced Scientific Computing Research, 2003.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- 15 pages : digital, PDF file
- Additional Creators:
- Lawrence Berkeley National Laboratory, United States. Department of Energy. Office of Advanced Scientific Computing Research, and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- The authors have implemented three numerical quadrature schemes, using the new Arbitrary Precision (ARPREC) software package, with the objective of seeking a completely ''automatic'' arbitrary precision quadrature facility, namely one that does not rely on a priori information of the function to be integrated. Such a facility is required, for example, to permit the experimental identification of definite integrals based on their numerical values. The performance and accuracy of these three quadrature schemes are compared using a suite of 15 integrals, ranging from continuous, well-behaved functions on finite intervals to functions with vertical derivatives and integrable singularities at endpoints, as well as several integrals on an infinite interval.
- Report Numbers:
- E 1.99:lbnl--53652
- Published through SciTech Connect.
Real Number Computing Conference, Lyon (FR), 09/03/2003--09/05/2003.
Li, Xiaoye S.; Bailey, David H.
- Funding Information:
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