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Title:Barycentric coordinates for Lagrange interpolation over lattices on a simplex
Authors:ID Jaklič, Gašper (Author)
ID Kozak, Jernej (Author)
ID Knez, Marjetka (Author)
ID Vitrih, Vito (Author)
ID Žagar, Emil (Author)
Work type:Not categorized
Typology:1.08 - Published Scientific Conference Contribution
Organization:IAM - Andrej Marušič Institute
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.
Keywords:numerical analysis, lattice, barycentric coordinates, simplex, interpolation
Year of publishing:2008
Number of pages:str. 93-104
Numbering:Vol. 48, no. 1-3
PID:20.500.12556/RUP-7725 This link opens in a new window
DOI:10.1007/s11075-008-9178-7 This link opens in a new window
COBISS.SI-ID:14637401 This link opens in a new window
Publication date in RUP:03.04.2017
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Keywords:numerična analiza, mreža, baricentrične koordinate, simpleks, interpolacija


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