dc.contributor.author | Wang, Qiqi | |
dc.contributor.author | Moin, Parviz | |
dc.contributor.author | Iaccarino, Gianluca | |
dc.date.accessioned | 2010-08-17T14:12:59Z | |
dc.date.available | 2010-08-17T14:12:59Z | |
dc.date.issued | 2010-01 | |
dc.date.submitted | 2008-11 | |
dc.identifier.issn | 0036-1429 | |
dc.identifier.issn | 1095-7170 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/57504 | |
dc.description.abstract | The purpose of this study is to construct a high-order interpolation scheme for arbitrary scattered datasets. The resulting function approximation is an interpolation function when the dataset is exact, or a regression if measurement errors are present. We represent each datapoint with a Taylor series, and the approximation error as a combination of the derivatives of the target function. A weighted sum of the square of the coefficient of each derivative term in the approximation error is minimized to obtain the interpolation approximation. The resulting approximation function is a high-order rational function with no poles. When measurement errors are absent, the interpolation approximation converges to the target function faster than any polynomial rate of convergence. | en_US |
dc.language.iso | en_US | |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1137/080741574 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | SIAM | en_US |
dc.subject | rational interpolation | en_US |
dc.subject | nonlinear regression | en_US |
dc.subject | function approximation | en_US |
dc.subject | approximation order | en_US |
dc.title | A Rational Interpolation Scheme with Superpolynomial Rate of Convergence | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Wang, Qiqi, Parviz Moin, and Gianluca Iaccarino. “A Rational Interpolation Scheme with Superpolynomial Rate of Convergence.” SIAM Journal on Numerical Analysis 47.6 (2010): 4073-4097. © 2010 Society for Industrial and Applied Mathematics | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics | en_US |
dc.contributor.approver | Wang, Qiqi | |
dc.contributor.mitauthor | Wang, Qiqi | |
dc.relation.journal | SIAM Journal on Numerical Analysis | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | Wang, Qiqi; Moin, Parviz; Iaccarino, Gianluca | en |
dc.identifier.orcid | https://orcid.org/0000-0001-9669-2563 | |
mit.license | PUBLISHER_POLICY | en_US |
mit.metadata.status | Complete | |