Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices
نویسندگان
چکیده
منابع مشابه
Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices
Until now, only non-oscillatory radial basis functions (RBFs) have been considered in the literature. It has recently been shown that a certain family of oscillatory RBFs based on J Bessel functions give rise to non singular interpolation problems and seem to be the only class of functions not to diverge in the limit of flat basis functions for any node layout. This paper proves another interes...
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Radial basis functions (RBFs) form a primary tool for multivariate interpolation, and they are also receiving increased attention for solving PDEs on irregular domains. Traditionally, only non-oscillatory radial functions have been considered. We find here that a certain class of oscillatory radial functions (including Gaussians as their limiting case) leads to non-singular interpolants with in...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2006
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.04.003