Reliability Conditions in Quadrature Algorithms
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2003
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| _version_ | 1866911217033936896 |
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| author | Adam, Gh. Adam, S. Plakida, N. M. |
| author_facet | Adam, Gh. Adam, S. Plakida, N. M. |
| contents | The detection of insufficiently resolved or ill-conditioned integrand structures is critical for the reliability assessment of the quadrature rule outputs. We discuss a method of analysis of the profile of the integrand at the quadrature knots which allows inferences approaching the theoretical 100% rate of success, under error estimate sharpening. The proposed procedure is of the highest interest for the solution of parametric integrals arising in complex physical models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cs_0303004 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Reliability Conditions in Quadrature Algorithms Adam, Gh. Adam, S. Plakida, N. M. Numerical Analysis Mathematical Software Computational Physics G.4; G.1.4; G.1.0; J.2; D.2.4 The detection of insufficiently resolved or ill-conditioned integrand structures is critical for the reliability assessment of the quadrature rule outputs. We discuss a method of analysis of the profile of the integrand at the quadrature knots which allows inferences approaching the theoretical 100% rate of success, under error estimate sharpening. The proposed procedure is of the highest interest for the solution of parametric integrals arising in complex physical models. |
| title | Reliability Conditions in Quadrature Algorithms |
| topic | Numerical Analysis Mathematical Software Computational Physics G.4; G.1.4; G.1.0; J.2; D.2.4 |
| url | https://arxiv.org/abs/cs/0303004 |