Increasing the approximation order of spline quasi-interpolants
✍ Scribed by Barrera, D.; Guessab, A.; Ibáñez, M.J.; Nouisser, O.
- Book ID
- 121388646
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 813 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0377-0427
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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
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