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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:300

Article

Dell'Accio, F.¹  Di Tommaso, F.¹ 

[1] Univ Calabria, Dipartimento Matemat & Informat, Via P Bucci Cubo 30A, I-87036 Arcavacata Di Rende, CS, Italy

关键词: Birkhoff interpolation;    Shepard operators;    Reproduction quality;   

DOI  :  10.1016/j.cam.2015.12.016

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free