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On the approximation power of bivariate splines

✍ Scribed by Ming-Jun Lai; Larry L. Schumaker

Book ID
110380105
Publisher
Springer
Year
1998
Tongue
English
Weight
261 KB
Volume
9
Category
Article
ISSN
1019-7168

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πŸ“œ SIMILAR VOLUMES

Approximation Order of Bivariate Spline
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✍ G. NΓΌrnberger πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 490 KB

In [G. Nu rnberger and Th. Riessinger, Numer. Math. 71 (1995), 91 119], we developed an algorithm for constructing point sets at which unique Lagrange interpolation by spaces of bivariate splines of arbitrary degree and smoothness on uniform type triangulations is possible. Here, we show that simila

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✍ O.V. Davydov; G. NΓΌrnberger; F. Zeilfelder πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 893 KB

By using the algorithm of Nfimberger and Riessinger (1995), we construct Hermite interpolation sets for spaces of bivariate splines Sq(d 1 ) of arbitrary smoothness defined on the uniform type triangulations. It is shown that our Hermite interpolation method yields optimal approximation order for q