Data · dataset · 2014
MCD: Matlab programs for computing the Macdonald function for complex orders
Listed in DataCite
<p>The use of Gaussian quadrature formulae is explored for the computation of the Macdonald function (modified Bessel function) of complex orders and positive arguments.
Description
It is shown that for arguments larger than one, Gaussian quadrature applied to the integral representation of this function is a viable approach, provided the (nonclassical) weight function is suitably chosen. In combination with Gauss–Legendre quadrature the approach works also for arguments smaller than one.
For very small arguments, power series can be used. A Matlab routine is provided that implements this approach.</p>
Links
Where it is published
- Repository landing page purr.purdue.edu/publications/1561/1 ↗
landing page · from DataCite
- DOI doi.org/10.4231/r7b8562s ↗
DOI / persistent id · from DataCite
Documentation and papers
- Creative Commons Zero v1.0 Universal creativecommons.org/publicdomain/zero/1.0/legalcode ↗
license · from DataCite
- References 10.1007/s10543-005-0020-5 doi.org/10.1007/s10543-005-0020-5 ↗
publication · from DataCite
Catalogue records · 2
- DataCite API api.datacite.org/dois/10.4231/r7b8562s ↗
metadata API · from DataCite
- DataCite Commons commons.datacite.org/doi.org/10.4231/r7b8562s ↗
catalogue entry · from DataCite
Topics
- Stated by source
- Mathematics
- From keywords
- Computer Science & AI · Mathematics & Statistics
- Inferred from text
- Numerical computation and mathematical software 76%
Provenance · 1 source records, 11 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| DataCite | 10.4231/r7b8562s | 14 d ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| access_level | source · DataCite | connector:datacite@1.0.0 | /data/attributes/rightsList |
| byte_size | source · DataCite | connector:datacite@1.0.0 | |
| concepts[field].anzsrc:field:461306 | enrichment · DataCite | taxonomy-embedding@1.1.0 | title+keywords+description (76%) |
| concepts[field].fos:mathematics | source · DataCite | connector:datacite@1.0.0 | |
| concepts[field].local:field:computer-science-ai | mapping · DataCite | vocabulary-mapper@1.0.0 | keywords['Computer Science'] |
| concepts[field].local:field:mathematics-statistics | mapping · DataCite | vocabulary-mapper@1.0.0 | keywords['Mathematics'] |
| description | source · DataCite | connector:datacite@1.0.0 | /data/attributes/descriptions |
| license | source · DataCite | connector:datacite@1.0.0 | /data/attributes/rightsList |
| publication_date | source · DataCite | connector:datacite@1.0.0 | /data/attributes/dates |
| title | source · DataCite | connector:datacite@1.0.0 | /data/attributes/titles/0/title |
| version_label | source · DataCite | connector:datacite@1.0.0 |