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Lawrence Berkeley National Laboratory Lawrence Berkeley National Laboratory Title A Comparison of three high-precision quadrature schemes Permalink
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bailey, David H. Li, Xiaoye S. |
| Copyright Year | 2003 |
| Abstract | 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://cloudfront.escholarship.org/dist/prd/content/qt3pm645n9/qt3pm645n9.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
