| Title: | Barycentric coordinates for Lagrange interpolation over lattices on a simplex |
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| Authors: | ID Jaklič, Gašper (Author)
ID Kozak, Jernej (Author)
ID Knez, Marjetka (Author)
ID Vitrih, Vito (Author)
ID Žagar, Emil (Author) |
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| Files: |  http://dx.doi.org/10.1007/s11075-008-9178-7
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.08 - Published Scientific Conference Contribution |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | In this paper, a ▫$(d+1)$▫-pencil lattice on a simplex in ▫${\mathbb{R}}^d$▫ is studied. The lattice points are explicitly given in barycentric coordinates. This enables the construction and the efficient evaluation of the Lagrange interpolating polynomial over a lattice on a simplex. Also, the barycentric representation, based on shape parameters, turns out to be appropriate for the lattice extension from a simplex to a simplicial partition. |
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| Keywords: | numerical analysis, lattice, barycentric coordinates, simplex, interpolation |
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| Year of publishing: | 2008 |
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| Number of pages: | str. 93-104 |
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| Numbering: | Vol. 48, no. 1-3 |
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| PID: | 20.500.12556/RUP-7725  |
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| ISSN: | 1017-1398 |
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| UDC: | 519.65 |
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| DOI: | 10.1007/s11075-008-9178-7 |
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| COBISS.SI-ID: | 14637401 |
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| Publication date in RUP: | 03.04.2017 |
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| Views: | 2235 |
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| Downloads: | 139 |
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