Complete Hermite-Birkhoff interpolation on scattered data by combined Shepard operators

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• 作者：F. Dell&rsquo ; Accio ; ^{francesco.dellaccio@unical.it" class="auth_mail" title="E-mail the corresponding author} ; F. Di Tommaso
• 关键词：primary ; 41A05 ; 41A25 ; secondary ; 65D05 ; 65D15
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：300
• 期：Complete
• 页码：192-206
• 全文大小：943 K

文摘

The problem of Hermite–Birkhoff interpolation on scattered data under certain conditions of completeness is considered by using Shepard basis functions in combination with local interpolating polynomials based on the vertices of triangles. This approach allows the construction of interpolation operators with nontrivial polynomial reproduction and a good accuracy of approximation.