Select Publications
Journal articles
, 2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, 115, pp. 141 - 163
, 2009, 'Boundary integral equations on the sphere with radial basis functions: error analysis', Applied Numerical Mathematics, 59, pp. 2857 - 2871
, 2009, 'Overlapping additive schwarz preconditioners for elliptic pdes on the unit sphere', Mathematics of Computation, 78, pp. 79 - 101
, 2008, 'Interpolation on the sphere: a fast solution technique', ANZIAM Journal, pp. 354 - 370
, 2008, 'Local radial basis function approximation on the sphere', Bulletin of the Australian Mathematical Society, 77, pp. 197 - 224
, 2008, 'Localized linear polynomial operators and quadrature formulas on the sphere', SIAM Journal on Numerical Analysis, 47, pp. 440 - 466
, 2008, 'Numerical solutions to a boundary integral equation with spherical radial basis functions', ANZIAM Journal, pp. 266 - 281
, 2008, 'Post-processing of solutions of incompressible Navier-Stokes equations on rotating spheres', ANZIAM Journal, pp. 90 - 106
, 2006, 'Continuous and discrete least-squares approximation by radial basis functions on spheres', Journal of Approximation Theory, 143, pp. 124 - 133
, 2006, 'Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere', Numerische Mathematik, 103, pp. 299 - 322
, 2005, 'Approximation of parabolic PDEs on spheres using spherical basis functions', Advances in Computational Mathematics, 22, pp. 377 - 397, http://dx.doi.org/10.1007/s10444-003-3960-9
, 2005, 'Approximation of parabolic PDEs on spheres using collocation method', Advances in Computational Mathematics, 22, pp. 377 - 397
, 2004, 'Galerkin approximation of elliptic PDEs on spheres', Journal of Approximation Theory, 130, pp. 125 - 149