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Local Lagrange Interpolation with Bivariate Splines of Arbitrary Smoothness

✍ Scribed by Günther Nürnberger; Vera Rayevskaya; Larry L. Schumaker; Frank Zeilfelder


Publisher
Springer
Year
2005
Tongue
English
Weight
417 KB
Volume
23
Category
Article
ISSN
0176-4276

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Approximation order of bivariate spline
✍ O.V. Davydov; G. Nürnberger; F. Zeilfelder 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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