期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 236, 期 7, 页码 1691-1707出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2011.10.001
关键词
Combined Shepard operators; Lidstone interpolation; Functional approximation; Error analysis
资金
- European Commission
- European Social Fund
- Region of Calabria
We propose a new combination of the bivariate Shepard operators (Coman and Trimbitas, 2001 [2]) by the three point Lidstone polynomials introduced in Costabile and Dell'Accio (2005) [7]. The new combination inherits both degree of exactness and Lidstone interpolation conditions at each node, which characterize the interpolation polynomial. These new operators find application to the scattered data interpolation problem when supplementary second order derivative data are given (Kraaijpoel and van Leeuwen, 2010 [13]). Numerical comparison with other well known combinations is presented. (C) 2011 Elsevier B.V. All rights reserved.
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