2001

Hubbert, Simon and Baxter, Brad J.C. (2001) Radial basis functions for the sphere. In: Haussmann, W. and Jetter, K. and Reimer, M. (eds.) Recent Progress in Multivariate Approximation. 4th International Conference, September 2000, Witten-Bommerholz. International Series of Numerical Mathematics 137. Basel: Birkhauser, pp. 33-47. ISBN 3764365056.

Levesley, Jeremy and Hubbert, Simon (2001) An open problem concerning Fourier transforms of radial functions in Euclidean space and on spheres. In: Haussmann, W. and Jetter, K. and Reimer, M. (eds.) Recent Progress in Multivariate Approximation. 4th International Conference, September 2000, Witten-Bommerholz. International Series of Numerical Mathematics 137. Basel: Birkhauser, pp. 225-226. ISBN 3764365056.

2004

Hubbert, Simon and Morton, T. (2004) Lp-error estimates for radial basis function interpolation on the sphere. Journal of Approximation Theory 129 (1), pp. 58-77. ISSN 0021-9045.

Hubbert, Simon and Morton, Tanya M. (2004) On the accuracy of surface spline interpolation on the unit sphere. In: Neamtu, M. and Saff, E.B. (eds.) Advances in Constructive Approximation: Vanderbild 2003. Brentwood,Tennessee: Nashboro Press, pp. 227-242. ISBN 0 972848 22 3.

July 2004

Hubbert, Simon and Morton, Tanya M. (2004) A Duchon framework for the sphere. Journal of Approximation Theory 129 (1), pp. 28-57. ISSN 0021-9045.

Hubbert, Simon and Morton, Tanya M. (2004) L_(p)-error estimates for radial basis function interpolation on the sphere. Journal of Approximation Theory 129 (1), pp. 58-77. ISSN 0021-9045.

May 2006

Hubbert, Simon and Muller, S. (2006) Interpolation with circular basis functions. Numerical Algorithms 42 (1), pp. 75-90. ISSN 1017-1398.

October 2010

Hubbert, Simon (2010) On the compactly supported correlation functions proposed by T. Gneiting. Journal of Multivariate Analysis , ISSN 0047-259X. (Submitted)

Chan, Ron T.L. and Hubbert, Simon (2010) A numerical study of radial basis function based methods for option pricing under one dimension jump-diffusion model. Applied Numerical Mathematics , ISSN 0168-9274. (Submitted)

26 December 2011

Hubbert, Simon (2011) Essential mathematics for market risk management. New York, U.S.: Wiley. ISBN 9781119979524.

2012

Hubbert, Simon (2012) Closed form representations for a class of compactly supported radial basis function. Advances in Computational Mathematics 36 (1), pp. 115-136. ISSN 1019-7168.

Bejancu, A. and Hubbert, Simon (2012) A study of the uniform accuracy of univariate thin plate spline interpolation. Applied Numerical Mathematics 62 (12), pp. 1781-1789. ISSN 0168-9274.

December 2012

Benjancu, A. and Hubbert, Simon (2012) A study of the uniform accuracy of univariate thin plate spline interpolation. Numerical Algorithms 62 (12), pp. 1781-1789. ISSN 1017-1398.

January 2014

Chernih, A. and Hubbert, Simon (2014) Closed form representations and properties of the generalised Wendland functions. Journal of Approximation Theory 177 , pp. 17-33. ISSN 0021-9045.

July 2014

Chan, R.T.L. and Hubbert, Simon (2014) Options pricing under the one-dimensional jump-diffusion model using the radial basis function interpolation scheme. Review of Derivatives Research 17 (2), pp. 161-189. ISSN ISSN: 1380-6645.

2015

Hubbert, Simon and Lê Gia, Q.T. and Morton, T.M. (2015) Spherical radial basis functions, theory and applications. SpringerBriefs in Mathematics. Berlin, Germany: Springer. ISBN 9783319179384.

2016

Chernih, A. and Hubbert, Simon (2016) Closed form representations and properties of the generalised Wendland functions. Technical Report. Birkbeck, University of London, London, UK.

2017

Hubbert, Simon and Levesley, J. (2017) Convergence of Multilevel Stationary Gaussian Quasi-Interpolation. Technical Report. Birkbeck, University of London, London, UK.

5 January 2019

Hubbert, Simon and Levesley, J. (2019) Convergence of Multilevel Stationary Gaussian Convolution. In: Radu, F. and Kumar, K. and Berre, I. and Nordbotten, J. and Pop, I. (eds.) Numerical Mathematics and Advanced Applications - ENUMATH 2017. Lecture Notes in Computational Science and Engineering 126. Springer, pp. 83-92. ISBN 9783319964140.

January 2023

Hubbert, Simon and Jaeger, J. and Levesley, J. (2023) Convergence of sparse grid Gaussian convolution approximation for multidimensional periodic functions. Applied and Computational Harmonic Analysis 62 , pp. 453-474. ISSN 1063-5203.

10 January 2023

Hubbert, Simon and Janin, J. (2023) Generalised Wendland functions for the sphere. Advances in Computational Mathematics 49 (3), ISSN 1019-7168.

14 April 2023

Hubbert, Simon and Porcu, E. and Oates, C. and Girolami, M. (2023) Sobolev Spaces, Kernels and Discrepancies over Hyperspheres. Transactions on Machine Learning Research , pp. 1-18. ISSN 2835-8856.