6 citations · 9 across the 6 of their papers we have counts for
7 papers
Sobolev Spaces, Kernels and Discrepancies over Hyperspheres
Simon Hubbert, Emilio Porcu, Chris. J. Oates +1
This work provides theoretical foundations for kernel methods in the hyperspherical context. Specifically, we characterise the native spaces (reproducing kernel Hilbert spaces) and…
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic function
Simon Hubbert, Janin Jäger, Jeremy Levesley
We consider the problem of approximating -periodic functions by convolution with a scaled Gaussian kernel. We start by establishing convergence rates to functions from p…
Generalised Wendland functions for the sphere
Simon Hubbert, Janin Jäger
In this paper we compute the spherical Fourier expansions coefficients for the restriction of the generalised Wendland functions from dimensional Euclidean space to the (d-1)-d…
Convergence of Multilevel Stationary Gaussian Convolution
Simon Hubbert, Jeremy Levesley
It is well-known that polynomial reproduction is not possible when approximating with Gaussian kernels. Quasi-interpolation schemes have been developed which use a finite number of…
Convergence of Multilevel Stationary Gaussian Quasi-Interpolation
Simon Hubbert, Jeremy Levesley
In this paper we present a new multilevel quasi-interpolation algorithm for smooth periodic functions using scaled Gaussians as basis functions. Recent research in this area has fo…
A study of the uniform accuracy of univariate thin plate spline interpolation
Aurelian Bejancu, Simon Hubbert
The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this pap…
A Numerical Study of Radial Basis Function Based Methods for Options Pricing under the One Dimension Jump-diffusion Model
Ron T. L. Chan, Simon Hubbert
The aim of this chapter is to show how option prices in jump-diffusion models can be computed using meshless methods based on Radial Basis Function (RBF) interpolation. The RBF tec…