On the integrability of radial basis functions
β Scribed by J. Levesley; Z. Luo
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 683 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1573-8175
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π SIMILAR VOLUMES
Promising numerical results using once and twice integrated radial basis functions have been recently presented. In this work we investigate the integrated radial basis function (IRBF) concept in greater detail, connect to the existing RBF theory, and make conjectures about the properties of IRBF ap
The technique for transferring the domain integrals into equivalent boundary integrals, published in this journal by Wen, Aliabadi and Rooke, requires analytical expressions for ΓΏve integrals of radial basis functions. Exact solutions for these integrals are obtained by using Mathematica. The soluti
It has been known since 1987 that quasi-interpolation with radial functions on the integer grid can be exact for certain order polynomials. If, however, we require that the basis functions of the quasi-interpolants be fimite linear combinations of translates of the radial functions, then this can be