In this dissertation, it is first shown that, when the radial basis function is a $p$-norm and $1
< p < 2$, interpolation is always possible when the points are all different and there are at …

In this paper we compute the ultraspherical series expansions for the more commonly used
radial basis functions. In several special cases we provide asymptotic estimates for the …

Over the past decade, the radial basis function method has been shown to produce high
quality solutions to the multivariate scattered data interpolation problem. However, this method …

Rational expectations solutions are usually derived by assuming that all state variables
relevant to forward-looking behaviour are directly observable, or that they are “…an invertible …

In [4], deep results were obtained concerning the invertibility of matrices arising from radial
basis function interpolation. In particular, the Euclidean distance matrix was shown to be …

Septoria tritici blotch (STB) has been ranked the third most important wheat disease in the
world, threatening a large area of wheat production. Although major genes play an important …

The fast Gauss transform of L. Greengard and J. Strain [SIAM J. Sci. Statist. Comput., 12 (1991),
pp. 79--94] reduces the computational complexity of the evaluation of the sum of N …

We give a Fourier-theoretic analysis of the convergence of semi-discrete Radial Basis Function
interpolation on regular grids and of the associated semi-discrete collocation schemes …

Landscape-scale changes in the Arctic as a result of climate change affect the soil thermal
regime and impact the depth to permafrost in vulnerable tundra watersheds. When top-down …

As global focus shifts to northern latitudes for their enhanced access to newly viable resources,
US Army operational readiness in these extreme environments is increasingly important. …