Interpolation by Bivariate Splines on Crosscut Partitions


Nürnberger, Günther ; Davydov, Oleg V. ; Walz, Guido ; Zeilfelder, Frank


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URL: http://ub-madoc.bib.uni-mannheim.de/1732
URN: urn:nbn:de:bsz:180-madoc-17325
Document Type: Working paper
Year of publication: 1997
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 41A15 41A63 ,
Subject headings (SWD): Bivariater Spline , Querschnitt , Zerlegung <Mathematik> , Multivariate Approximation
Keywords (English): bivariate splines , crosscut partitions , interpolation approximation order
Abstract: We give a survey of recent methods to construct Lagrange interpolation points for splines of arbitrary smoothness rand degree q on general crosscut partitions in IR2. For certain regular types of partitions, also results on Hermite interpolation sets and on the approximation order of the corresponding interpolating splines are given.
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Nürnberger, Günther ; Davydov, Oleg V. ; Walz, Guido ; Zeilfelder, Frank (1997) Interpolation by Bivariate Splines on Crosscut Partitions. Open Access [Working paper]
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