Bivariate Segment Approximation and Splines

Meinardus, Günter ; Nürnberger, Günther ; Walz, Guido

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URL:	http://ub-madoc.bib.uni-mannheim.de/1695
URN:	urn:nbn:de:bsz:180-madoc-16959
Document Type:	Working paper
Year of publication:	1996
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: 65D07 41A63 41A15 ,
Subject headings (SWD):	Approximation , Bivariater Spline , Spline-Approximation , Funktionenalgebra
Keywords (English):	Bivariate approximation , Segment approximation , Bivariate splines , Functionals
Abstract:	The problem to determine partitions of a given rectangle which are optimal for segment approximation (e.g. by bivariate piecewise polynomials) is investigated. We give criteria for optimal partitions and develop algorithms for computing optimal partitions of certain types. It is shown that there is a surprising relationship between various types of optimal partitions. In this way, we obtain good partitions for interpolation by tensor product spline spaces. Our numerical examples show that the methods work efficiently.
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Meinardus, Günter ; Nürnberger, Günther ; Walz, Guido (1996) Bivariate Segment Approximation and Splines.

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