Numerical integration in arbitrary-precision ball arithmetic
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | JOHANSSON, Fredrik | |
| dc.contributor.editor | James H. Davenport | |
| dc.contributor.editor | Manuel Kauers | |
| dc.contributor.editor | George Labahn | |
| dc.contributor.editor | Josef Urban | |
| dc.date.accessioned | 2024-04-04T03:06:44Z | |
| dc.date.available | 2024-04-04T03:06:44Z | |
| dc.date.issued | 2018 | |
| dc.date.conference | 2018-07-24 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193363 | |
| dc.description.abstractEn | We present an implementation of arbitrary-precision numerical integration with rigorous error bounds in the Arb library. Rapid convergence is ensured for piecewise complex analytic integrals by use of the Petras algorithm, which combines adaptive bisection with adaptive Gaussian quadrature where error bounds are determined via complex magnitudes without evaluating derivatives. The code is general, easy to use, and efficient, often outperforming existing non-rigorous software. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.subject.en | special functions | |
| dc.subject.en | Numerical integration | |
| dc.subject.en | interval arithmetic | |
| dc.title.en | Numerical integration in arbitrary-precision ball arithmetic | |
| dc.type | Communication dans un congrès | |
| dc.identifier.doi | 10.1007/978-3-319-96418-8_30 | |
| dc.subject.hal | Informatique [cs]/Logiciel mathématique [cs.MS] | |
| dc.subject.hal | Informatique [cs]/Analyse numérique [cs.NA] | |
| bordeaux.page | 255–263 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 10931 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | Mathematical Software – ICMS 2018 | |
| bordeaux.country | US | |
| bordeaux.conference.city | Notre Dame | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01714969 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.organizer | James H. Davenport and Manuel Kauers and George Labahn and Josef Urban | |
| hal.conference.end | 2018-07-27 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01714969v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2018&rft.issue=10931&rft.spage=255%E2%80%93263&rft.epage=255%E2%80%93263&rft.au=JOHANSSON,%20Fredrik&rft.genre=unknown |
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