| dc.date.accessioned | 2014-01-30T11:55:31Z | |
| dc.date.available | 2014-01-30T11:55:31Z | |
| dc.date.issued | 2011 | en_US |
| dc.date.submitted | 2011-04-06 | en_US |
| dc.identifier.citation | Muntingh, Georg. Topics in Polynomial Interpolation Theory. Doktoravhandling, University of Oslo, 2011 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10852/10725 | |
| dc.description.abstract | This thesis studies two aspects of polynomial interpolation theory. The first part sets forth explicit formulas for the coefficients of polynomial interpolants to implicit functions. A formula for the higher-order derivatives of implicit functions appears as a limiting case of these formulas. The second part delves into certain configurations of points in space — generalized principal lattices — that are well suited as interpolation points. Applying the theory of real algebraic curves then allows the construction of many new examples of such configurations. | eng |
| dc.language.iso | eng | en_US |
| dc.relation.haspart | Paper I / Chapter 2 Georg Muntingh and Michael Floater: Divided Differences of Univariate Implicit Functions Math. Comp. 80 (2011), 2185-2195 First published in Mathematics of Computation in volume 80 (2011), published by the American Mathematical Society http://dx.doi.org/10.1090/S0025-5718-2011-02486-5 | |
| dc.relation.haspart | Paper II / Chapter 3 Georg Muntingh: Divided Differences of Multivariate Implicit Functions BIT Numerical Mathematics (2012) Published Online 29 February 2012. The original publication is available at www.springerlink.com http://dx.doi.org/10.1007/s10543-012-0377-1 | |
| dc.relation.uri | http://dx.doi.org/10.1090/S0025-5718-2011-02486-5 | |
| dc.relation.uri | http://dx.doi.org/10.1007/s10543-012-0377-1 | |
| dc.title | Topics in Polynomial Interpolation Theory | en_US |
| dc.type | Doctoral thesis | en_US |
| dc.date.updated | 2014-01-30 | en_US |
| dc.creator.author | Muntingh, Georg | en_US |
| dc.subject.nsi | VDP::410 | en_US |
| cristin.unitcode | null | en_US |
| cristin.unitname | Matematikk | en_US |
| dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft.au=Muntingh, Georg&rft.title=Topics in Polynomial Interpolation Theory&rft.inst=University of Oslo&rft.date=2011&rft.degree=Doktoravhandling | en_US |
| dc.identifier.urn | URN:NBN:no-29148 | en_US |
| dc.type.document | Doktoravhandling | en_US |
| dc.identifier.duo | 114775 | en_US |
| dc.contributor.supervisor | Ragni Piene, Ragnar Winther | en_US |
| dc.identifier.bibsys | 12115565x | en_US |
| dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/10725/1/dravhandling-muntingh.pdf | |