By Emeritus Professor Ian Hugh Sloan

Preprints

Gia QTL; Sloan IH; Womersley RS; Wang YG, 2018, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, http://dx.doi.org/10.48550/arxiv.1801.03212

Griewank A; Kuo FY; Leövey H; Sloan IH, 2017, High dimensional integration of kinks and jumps -- smoothing by preintegration, http://arxiv.org/abs/1712.00920v1

Giles MB; Kuo FY; Sloan IH, 2017, Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients, http://arxiv.org/abs/1711.02437v1

Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2017, Circulant embedding with QMC -- analysis for elliptic PDE with lognormal coefficients, http://arxiv.org/abs/1710.09254v2

Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2017, Analysis of circulant embedding methods for sampling stationary random fields, http://arxiv.org/abs/1710.00751v2

Brown B; Griebel M; Kuo FY; Sloan IH, 2017, On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction, http://dx.doi.org/10.48550/arxiv.1706.00915

Feischl M; Kuo F; Sloan IH, 2017, Fast random field generation with $H$-matrices, http://arxiv.org/abs/1702.08637v4

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2016, Random Point Sets on the Sphere—Hole Radii, Covering, and Separation, http://dx.doi.org/10.1080/10586458.2016.1226209

Gia QTL; Sloan IH; Wang YG; Womerlsey RS, 2015, Needlet approximation for isotropic random fields on the sphere, http://arxiv.org/abs/1512.07790v2

Wang YG; Sloan IH; Womersley RS, 2015, Riemann localisation on the sphere, http://arxiv.org/abs/1510.06834v2

Wang H; Sloan IH, 2015, On filtered polynomial approximation on the sphere, http://arxiv.org/abs/1509.03792v1

Kuo FY; Scheichl R; Schwab C; Sloan IH; Ullmann E, 2015, Multilevel Quasi-Monte Carlo Methods for Lognormal Diffusion Problems, http://arxiv.org/abs/1507.01090v2

Wang YG; Gia QTL; Sloan IH; Womersley RS, 2015, Fully discrete needlet approximation on the sphere, http://dx.doi.org/10.48550/arxiv.1502.05806

Kuo FY; Nuyens D; Plaskota L; Sloan IH; Wasilkowski GW, 2015, Infinite-dimensional integration and the multivariate decomposition method, http://arxiv.org/abs/1501.05445v3

Pereverzyev SV; Sloan IH; Tkachenko P, 2015, Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere, http://arxiv.org/abs/1501.02090v1

Cao H; Pereverzyev SV; Sloan IH; Tkachenko P, 2015, Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions, http://arxiv.org/abs/1501.00362v1

Brauchart JS; Dick J; Saff EB; Sloan IH; Wang YG; Womersley RS, 2014, Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces, http://dx.doi.org/10.1016/j.jmaa.2015.05.079

Gia QTL; Sloan IH; Wendland H, 2014, Zooming from Global to Local: A Multiscale RBF Approach, http://arxiv.org/abs/1406.1333v1

Kuo FY; Schwab C; Sloan IH, 2012, Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients, http://dx.doi.org/10.48550/arxiv.1208.6349

Brauchart JS; Saff EB; Sloan IH; Womersley RS, 2012, QMC designs: optimal order Quasi Monte Carlo Integration schemes on the sphere, http://dx.doi.org/10.48550/arxiv.1208.3267

Chernih A; Sloan IH; Womersley RS, 2012, Wendland functions with increasing smoothness converge to a Gaussian, http://dx.doi.org/10.48550/arxiv.1203.5696

Gia QTL; Sloan IH; Wathen AJ, 2010, Stability and preconditioning for a hybrid approximation on the sphere, http://dx.doi.org/10.48550/arxiv.1009.4275

Ganesh M; Gia QTL; Sloan IH, 2010, A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres, http://dx.doi.org/10.48550/arxiv.1009.3308

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