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On stable local bases for bivariate polynomial spline spaces

Davydov, O. and Schumaker, L.L. (2002) On stable local bases for bivariate polynomial spline spaces. Constructive Approximation, 18 (1). pp. 87-116. ISSN 0176-4276

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Abstract

Stable locally supported bases are constructed for the spaces \cal S d r (\triangle) of polynomial splines of degree d≥ 3r+2 and smoothness r defined on triangulations \triangle , as well as for various superspline subspaces. In addition, we show that for r≥ 1 , in general, it is impossible to construct bases which are simultaneously stable and locally linearly independent.

Item type: Article
ID code: 4542
Keywords: approximation, mathematics, probabilities, polynomials, Probabilities. Mathematical statistics, Mathematics, Computational Mathematics, Analysis, Mathematics(all)
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date Deposited: 01 Nov 2007
Last modified: 15 Apr 2015 10:39
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/4542

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